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渗透 积累 回归——浙江省编小学数学第一册《应用题》教材分析与教学策略
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作者 陈基国 《教学月刊(小学版)(数学)》 2003年第10期21-21,17,共2页
关键词 浙教版 小学 数学教学 第一册 《应用题》 教材分析 教学策略
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The application of three-dimensional textbook in English teaching 被引量:2
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作者 张桂军 陈红梅 +1 位作者 高兴梅 申粒蒂 《Sino-US English Teaching》 2008年第7期17-20,共4页
The paper discusses the application of three-dimensional textbook in English teaching. The three-dimensional textbook plays an incomparable function than the traditional textbook and thus has an extensive application ... The paper discusses the application of three-dimensional textbook in English teaching. The three-dimensional textbook plays an incomparable function than the traditional textbook and thus has an extensive application in the college English education. It demonstrates the application through the usage of the three-dimensional textbook in the real teaching and shows that excessive usage of sound and pictures or drawings may distract the attention of students. It raises several suggestions at the end. 展开更多
关键词 three-dimensional textbook ADVANTAGE application problem THINKING
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New Reflection Principles for Maxwell's Equations and Their Applications 被引量:1
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作者 Hongyu Liu Masahiro Yamamoto Jun Zou 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第1期1-17,共17页
Some new reflection principles for Maxwell's equations are first established, which are then applied to derive two novel identifiability results in inverse electromagnetic obstacle scattering problems with polyhed... Some new reflection principles for Maxwell's equations are first established, which are then applied to derive two novel identifiability results in inverse electromagnetic obstacle scattering problems with polyhedral scatterers. 展开更多
关键词 Maxwell's equations reflection principles inverse electromagnetic scattering identiflability and uniqueness.
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Diagrams Produced by Secondary Students in Multiplicative Comparison Word Problems 被引量:1
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《Journal of Mathematics and System Science》 2014年第2期83-92,共10页
We investigated the use of diagrams in multiplicative comparison word problems. The diagrams have been considered as one of the effective heuristic strategies or solving math problems. However, how students use during... We investigated the use of diagrams in multiplicative comparison word problems. The diagrams have been considered as one of the effective heuristic strategies or solving math problems. However, how students use during their school and the degree development that shows in their performance when applied to specific fields of knowledge is a task to be elucidated. We place our study in the school stage in which it makes the transition from arithmetic to algebra and arithmetic problems we focus on in the underlying multiplicative comparison scheme. In this paper, we analyzed the responses of high school students to the translation of multiplicative comparison word problems to representation graphs. We have used the responses of 12 -14 year old students (freshman year of secondary school) to represent multiplicative comparison word problems to identify and categorize the students responses, which allowed us identify categories for each type of representation and hypothesize priority order and subordination between the categories. Results show that students are not familiar with building diagrams that integrate existing relations in word problems. Most of the students do not use all the quantitative information contained in the word problem, therefore draw diagrams referring to the subject or context of the problem without relating to the data in it. We describe in detail the quantitative diagram types produced by these students. We have identified four kinds of quantitative diagrams that the students used to represent the multiplicative comparison problems with inconsistent statements, and these diagrams correspond to the four strategies for tackling the construction of the diagram. 展开更多
关键词 REPRESENTATIONS DIAGRAMS multiplicative comparison word problems.
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Applying Analytical Derivative and Sparse Matrix Techniques to Large-Scale Process Optimization Problems 被引量:2
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作者 仲卫涛 邵之江 +1 位作者 张余岳 钱积新 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2000年第3期212-217,共6页
The performance of analytical derivative and sparse matrix techniques applied to a traditional dense sequential quadratic programming (SQP) is studied, and the strategy utilizing those techniques is also presented.Com... The performance of analytical derivative and sparse matrix techniques applied to a traditional dense sequential quadratic programming (SQP) is studied, and the strategy utilizing those techniques is also presented.Computational results on two typical chemical optimization problems demonstrate significant enhancement in efficiency, which shows this strategy is promising and suitable for large-scale process optimization problems. 展开更多
关键词 large-scale optimization open-equation sequential quadratic programming analytical derivative sparse matrix technique
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Application of GA, PSO, and ACO Algorithms to Path Planning of Autonomous Underwater Vehicles 被引量:8
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作者 Mohammad Pourmahmood Aghababa Mohammad Hossein Amrollahi Mehdi Borjkhani 《Journal of Marine Science and Application》 2012年第3期378-386,共9页
In this paper, an underwater vehicle was modeled with six dimensional nonlinear equations of motion, controlled by DC motors in all degrees of freedom. Near-optimal trajectories in an energetic environment for underwa... In this paper, an underwater vehicle was modeled with six dimensional nonlinear equations of motion, controlled by DC motors in all degrees of freedom. Near-optimal trajectories in an energetic environment for underwater vehicles were computed using a nnmerical solution of a nonlinear optimal control problem (NOCP). An energy performance index as a cost function, which should be minimized, was defmed. The resulting problem was a two-point boundary value problem (TPBVP). A genetic algorithm (GA), particle swarm optimization (PSO), and ant colony optimization (ACO) algorithms were applied to solve the resulting TPBVP. Applying an Euler-Lagrange equation to the NOCP, a conjugate gradient penalty method was also adopted to solve the TPBVP. The problem of energetic environments, involving some energy sources, was discussed. Some near-optimal paths were found using a GA, PSO, and ACO algorithms. Finally, the problem of collision avoidance in an energetic environment was also taken into account. 展开更多
关键词 path planning autonomous underwater vehicle genetic algorithm (GA) particle swarmoptimization (PSO) ant colony optimization (ACO) collision avoidance
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Application of orthogonal experimental design and Tikhonov regularization method for the identification of parameters in the casting solidification process 被引量:4
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作者 Dashan SUI Zhenshan CUI 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2009年第1期13-21,共9页
The inverse heat conduction method is one of methods to identify the casting simulation parameters. A new inverse method was presented according to the Tikhonov regularization theory. One appropriate regularized funct... The inverse heat conduction method is one of methods to identify the casting simulation parameters. A new inverse method was presented according to the Tikhonov regularization theory. One appropriate regularized functional was established, and the functional was solved by the sensitivity coefficient and Newtonaphson iteration method. Moreover, the orthogonal experimental design was used to estimate the appropriate initial value and variation domain of each variable to decrease the number of iteration and improve the identification accuracy and efficiency. It illustrated a detailed case of AlSiTMg sand mold casting and the temperature measurement experiment was done. The physical properties of sand mold and the interracial heat transfer coefficient were identified at the meantime. The results indicated that the new regularization method was efficient in overcoming the ill-posedness of the inverse heat conduction problem and improving the stability and accuracy of the solutions. 展开更多
关键词 Orthogonal experimental design Regularization method Parameters identification Numerical simulation
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Advanced User-Based Interaction Model in Cloud 被引量:1
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作者 徐赢颖 敖乃翔 +2 位作者 黄丹 赵永祥 陈常嘉 《China Communications》 SCIE CSCD 2013年第4期126-134,共9页
With the increasing popularity of cloud computing, there is an increased de mand for cloud resources in cloud. It has be come even more urgent to find solutions to improve resource utilization. From the per spective o... With the increasing popularity of cloud computing, there is an increased de mand for cloud resources in cloud. It has be come even more urgent to find solutions to improve resource utilization. From the per spective of a cloud consumer, a cloud applica tion processes a large information flow in volving user actions that access resources, but little work has so far been devoted to research from the perspective of the interaction be tween the user and the cloud application. In this paper, we analyze the interaction in detail, and propose a general mathematical interac tion model to formulate the challenge pertain ing to storage resource allocation as an opti mization problem, focusing on minimizing both the user's cost and server's consumption. A potential response mechanism is then de signed based on the interaction model. Fur thermore, the proposed model is used to ex plore strategies when multiple users access the same file simultaneously. Additionally, an improved queuing system, namely M/ G~ oo queue with standby, is introduced. Finally, an evaluation is presented to verify the interac- tion model. 展开更多
关键词 interaction model CLOUD responsemechanism user data queuing system
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Spectra of Off-diagonal Infinite-Dimensional Hamiltonian Operators and Their Applications to Plane Elasticity Problems 被引量:13
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作者 Alatancang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第2期200-204,共5页
In the present paper, the spectrums of off-diagonal infinite-dimensional Hamiltonian operators are studied. At first, we prove that the spectrum, the continuous-spectrum, and the union of the point-spectrum and residu... In the present paper, the spectrums of off-diagonal infinite-dimensional Hamiltonian operators are studied. At first, we prove that the spectrum, the continuous-spectrum, and the union of the point-spectrum and residual- spectrum of the operators are symmetric with respect to real axis and imaginary axis. Then for the purpose of reducing the dimension of the studied problems, the spectrums of the operators are expressed by the spectrums of the product of two self-adjoint operators in state spac,3. At last, the above-mentioned results are applied to plane elasticity problems, which shows the practicability of the results. 展开更多
关键词 plane elasticity problem SPECTRUM Hamiltonian operator uncoupled
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Application of a Derivative-Free Method with Projection Skill to Solve an Optimization Problem 被引量:1
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作者 PENG Fei SUN Guo-Dong 《Atmospheric and Oceanic Science Letters》 CSCD 2014年第6期499-504,共6页
Improving numerical forecasting skill in the atmospheric and oceanic sciences by solving optimization problems is an important issue. One such method is to compute the conditional nonlinear optimal perturbation(CNOP),... Improving numerical forecasting skill in the atmospheric and oceanic sciences by solving optimization problems is an important issue. One such method is to compute the conditional nonlinear optimal perturbation(CNOP), which has been applied widely in predictability studies. In this study, the Differential Evolution(DE) algorithm, which is a derivative-free algorithm and has been applied to obtain CNOPs for exploring the uncertainty of terrestrial ecosystem processes, was employed to obtain the CNOPs for finite-dimensional optimization problems with ball constraint conditions using Burgers' equation. The aim was first to test if the CNOP calculated by the DE algorithm is similar to that computed by traditional optimization algorithms, such as the Spectral Projected Gradient(SPG2) algorithm. The second motive was to supply a possible route through which the CNOP approach can be applied in predictability studies in the atmospheric and oceanic sciences without obtaining a model adjoint system, or for optimization problems with non-differentiable cost functions. A projection skill was first explanted to the DE algorithm to calculate the CNOPs. To validate the algorithm, the SPG2 algorithm was also applied to obtain the CNOPs for the same optimization problems. The results showed that the CNOPs obtained by the DE algorithm were nearly the same as those obtained by the SPG2 algorithm in terms of their spatial distributions and nonlinear evolutions. The implication is that the DE algorithm could be employed to calculate the optimal values of optimization problems, especially for non-differentiable and nonlinear optimization problems associated with the atmospheric and oceanic sciences. 展开更多
关键词 differential evolution algorithm spectral projected gradient algorithm CNOP Burgers' equation optimization problem
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Application of TOPSIS Method in Support of Decisions Made in Staff Management Issues 被引量:2
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作者 Masuma Guseyn Mammadova Zarifa Gasim Jabrailova 《Computer Technology and Application》 2013年第6期307-316,共10页
Evaluation model was proposed which refers to fuzzy formalism of the personnel management issues taking account their specific characteristics. Application of TOPSIS (technique for order Performance by similarity to ... Evaluation model was proposed which refers to fuzzy formalism of the personnel management issues taking account their specific characteristics. Application of TOPSIS (technique for order Performance by similarity to ideal solution) method for evaluation and regulation of alternatives based on hierarchically structured criteria of qualitative character by multiple experts to intellectually support decisions made in staff management issues is reviewed in the article. Candidate selection experiment based on criteria system formed using TOPSIS method for evaluation of candidates during solution of hiring problems reviewed and obtained results were compared with results obtained using Matlab program package. 展开更多
关键词 Personnel management multi-criteria evaluation criteria coefficients decision making fuzzy number TOPSIS method.
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Existence and Uniqueness of Solution of Some Increasing Operators and Applications
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作者 HAO Jian-li 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期240-244,共5页
By using the cone theory and the monotone succession skills, it is studied the existence uniqueness of fixed point for a class of increasing operators without continuity and compactness and concave or convex condition... By using the cone theory and the monotone succession skills, it is studied the existence uniqueness of fixed point for a class of increasing operators without continuity and compactness and concave or convex conditions in Banach spaces. The results presented here improve and generalize some corresponding results for increasing operator. 展开更多
关键词 cone and partial ordering increasing operators operator equations
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A Preliminary Application of the Differential Evolution Algorithm to Calculate the CNOP 被引量:4
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作者 SUN Guo-Dong MU Mu 《Atmospheric and Oceanic Science Letters》 2009年第6期381-385,共5页
A projected skill is adopted by use of the differential evolution (DE) algorithm to calculate a conditional nonlinear optimal perturbation (CNOP). The CNOP is the maximal value of a constrained optimization problem wi... A projected skill is adopted by use of the differential evolution (DE) algorithm to calculate a conditional nonlinear optimal perturbation (CNOP). The CNOP is the maximal value of a constrained optimization problem with a constraint condition, such as a ball constraint. The success of the DE algorithm lies in its ability to handle a non-differentiable and nonlinear cost function. In this study, the DE algorithm and the traditional optimization algorithms used to obtain the CNOPs are compared by analyzing a theoretical grassland ecosystem model and a dynamic global vegetation model. This study shows that the CNOPs generated by the DE algorithm are similar to those by the sequential quadratic programming (SQP) algorithm and the spectral projected gradients (SPG2) algorithm. If the cost function is non-differentiable, the CNOPs could also be caught with the DE algorithm. The numerical results suggest the DE algorithm can be employed to calculate the CNOP, especially when the cost function is non-differentiable. 展开更多
关键词 differential evolution algorithm conditional nonlinear optimal perturbation non-differentiable
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Generation of Complex Matrices Belonging to Matrix Groups with Controlled Condition Number
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作者 Hanz Martin Cheng 《Journal of Mathematics and System Science》 2013年第3期136-138,共3页
The authors study the generation of matrices with complex entries belonging to some matrix groups, mainly those that are defined by a scalar product space. These matrices have useful applications in quantum mechanical... The authors study the generation of matrices with complex entries belonging to some matrix groups, mainly those that are defined by a scalar product space. These matrices have useful applications in quantum mechanical problems and complex control problems. In this work, the authors try to generate matrices such that: (1) the condition number of these types of matrices is controlled and (2) The algorithm used to generate these matrices preserves their structure. 展开更多
关键词 Matrix groups condition number structure.
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Sanders' Mid-long Cylindrical Shell Theory and its Application to Ocean Engineering Structures 被引量:3
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作者 Shutao He (1) heshutao6105@163.com Yao Zhao (1) 《Journal of Marine Science and Application》 2012年第1期98-105,共8页
The cylindrical shell is one of the main structural parts in ocean engineering structures.These cylinders are mostly of medium length,which means that the radius of the cross section is significantly smaller than the ... The cylindrical shell is one of the main structural parts in ocean engineering structures.These cylinders are mostly of medium length,which means that the radius of the cross section is significantly smaller than the length of the cylindrical shell.From the viewpoint of the shell theory,they belong to the mid-long cylindrical shell category.To solve mechanical problems on this kind of structure,especially a cracked cylindrical shell,analysis based on shell theory is necessary.At present the generally used solving system for the mid-long cylindrical shell is too complicated,difficult to solve,and inapplicable to engineering.This paper introduced the Sanders' mid-long cylindrical shell theory which reduces the difficulty of the solution process,and will be suitable for solving problems with complicated boundary conditions.On this basis,the engineering applications of this theory were discussed in conjunction with the problem of a mid-long cylindrical shell having a circumferential crack.The solution process is simple,and the closed form solution can usually be found.In practical engineering applications,it gives satisfactory precision. 展开更多
关键词 mid-long cylindrical shell cylindrical shell theory circumferential crack ocean engineeringstructure
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A Water Line Network Failure Application of Network Design Problems
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作者 Hiroaki Mohri Jun-ichi Takeshita 《Journal of Mathematics and System Science》 2015年第12期493-500,共8页
This study investigated a water supply recovery problem involving municipal water service piping. The problem consisted in recovering full service after network failure, in order to rapidly satisfy all urgent citywide... This study investigated a water supply recovery problem involving municipal water service piping. The problem consisted in recovering full service after network failure, in order to rapidly satisfy all urgent citywide demands. The optimal recovery solution was achieved through the application of so-called network design problems (NDPs), which are a form of combinatorial optimization problem. However, a conventional NDP is not suitable for addressing urgent situations because (1) it does not utilize the non-failure arcs in the network, and (2) it is solely concerned with stable costs such as flow costs. Therefore, to adapt the technique to such urgent situations, the conventional NDP is here modified to deal with the specified water supply problem. In addition, a numerical illustration using the Sendai water network is presented. 展开更多
关键词 Water supply recovery problem Network design problem Network failure Recovery and reconstruction plan Combinatorial optimization Risk assessment/management
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Cryptanalysis of a Cryptosystem with Non- Commutative Platform Groups 被引量:1
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作者 Jinhui Liu Jianwei Jia +3 位作者 Huanguo Zhang Rongwei Yu Yong Yu Wangqing Wu 《China Communications》 SCIE CSCD 2018年第2期67-73,共7页
A cryptosystem with non-commutative platform groups based on conjugator search problem was recently introduced at Neural Computing and Applications 2016. Its versatility was illustrated by building a public-key encryp... A cryptosystem with non-commutative platform groups based on conjugator search problem was recently introduced at Neural Computing and Applications 2016. Its versatility was illustrated by building a public-key encryption scheme. We propose an algebraic key-recovery attack in the polynomial computational complexity. Furthermore, we peel off the encryption and decryption process and propose attack methods for solving the conjugator search problem over the given non-abelian group. Finally, we provide corresponding practical attack examples to illustrate the attack methods in our cryptanalysis, and provide some improved suggestions. 展开更多
关键词 CRYPTANALYSIS post-quantum com-putational cryptography conjugator searchproblem computational complexity
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Algorithmic Procedure to Design Water Utilization Systems Featuring Multiple Contaminants in Process Plants
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作者 王东明 杨凤林 张兴文 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2005年第3期396-402,共7页
This paper introduces a non-iterative algorithmic procedure to design water utilization networks with multiple contaminants in process plants. According to the water pinch analysis rules, the processes in water utiliz... This paper introduces a non-iterative algorithmic procedure to design water utilization networks with multiple contaminants in process plants. According to the water pinch analysis rules, the processes in water utilization systems were first divided into three groups, then water-supply priority algorithm was proposed. The results of case studies showed that the water networks designed by this method gave water consumption lower than that estimated by other approaches. In addition, the procedure was subject to no limitation on the problem scale. 展开更多
关键词 water pinch technology priority of water supply water utilization networks wastewater minimization
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An Essential Solution of Water Entry Problems and its Engineering Applications 被引量:1
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作者 王文华 王言英 《Journal of Marine Science and Application》 2010年第3期268-273,共6页
For solving water entry problems, a numerical method is presented, which is a CFD method based on free surface capturing method and Cartesian cut cell mesh.In this approach, incompressible Euler equations for a variab... For solving water entry problems, a numerical method is presented, which is a CFD method based on free surface capturing method and Cartesian cut cell mesh.In this approach, incompressible Euler equations for a variable density fluid are numerically calculated by the finite volume method.Then artificial compressibility method, dual time-stepping technique and Roe's approximate Riemann solver are adopted in the numerical scheme.Finally, some application cases are designed to show the ability of the current method to cope with water entry problems in ocean engineering. 展开更多
关键词 water entry free surface capturing method Cartesian cut cell mesh application cases
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Adaptive predictive functional control based on Takagi-Sugeno model and its application to pH process 被引量:5
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作者 苏成利 李平 《Journal of Central South University》 SCIE EI CAS 2010年第2期363-371,共9页
In order to obtain accurate prediction model and compensate for the influence of model mismatch on the control performance of the system and avoid solving nonlinear programming problem,an adaptive fuzzy predictive fun... In order to obtain accurate prediction model and compensate for the influence of model mismatch on the control performance of the system and avoid solving nonlinear programming problem,an adaptive fuzzy predictive functional control(AFPFC) scheme for multivariable nonlinear systems was proposed.Firstly,multivariable nonlinear systems were described based on Takagi-Sugeno(T-S) fuzzy models;assuming that the antecedent parameters of T-S models were kept,the consequent parameters were identified on-line by using the weighted recursive least square(WRLS) method.Secondly,the identified T-S models were linearized to be time-varying state space model at each sampling instant.Finally,by using linear predictive control technique the analysis solution of the optimal control law of AFPFC was established.The application results for pH neutralization process show that the absolute error between the identified T-S model output and the process output is smaller than 0.015;the tracking ability of the proposed AFPFC is superior to that of non-AFPFC(NAFPFC) for pH process without disturbances,the overshoot of the effluent pH value of AFPFC with disturbances is decreased by 50% compared with that of NAFPFC;when the process parameters of AFPFC vary with time the integrated absolute error(IAE) performance index still retains to be less than 200 compared with that of NAFPFC. 展开更多
关键词 Takagi-Sugeno (T-S) model adaptive fuzzy predictive functional control (AFPFC) weighted recursive least square (WRLS) pH process
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