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求解模糊非线性系统 被引量:3
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作者 彭晓华 屠兴汉 《辽宁工程技术大学学报(自然科学版)》 CAS 北大核心 2010年第5期775-777,共3页
为了解决模糊非线性系统的求解问题,采用一种模糊数的参数表示方法,将模糊非线性系统转化为参数系统,然后基于拟牛顿法,构造一种新的求解非线性系统的方法。经过实例验证,结果表明:该方法在避免了对参数系统求导的情况下,收敛速仍然十... 为了解决模糊非线性系统的求解问题,采用一种模糊数的参数表示方法,将模糊非线性系统转化为参数系统,然后基于拟牛顿法,构造一种新的求解非线性系统的方法。经过实例验证,结果表明:该方法在避免了对参数系统求导的情况下,收敛速仍然十分快速。该成果对模糊工程学,模糊控制理论具有一定的参考价值和指导意义。 展开更多
关键词 模糊非线性系统 拟牛顿法 参数系统
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一类完全模糊非线性系统同伦法求解
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作者 彭晓华 贾美珍 王磊 《计算机工程与应用》 CSCD 北大核心 2015年第18期38-41,共4页
在现有三角模糊数表示及模糊运算规则基础上,采用参数变换法对一类模糊非线性系统做变换,得到同解的确定非线性系统。采用同伦法求解该确定非线性系统,进而给出原模糊非线性系统的近似解,并给出了具体算例。
关键词 三角模糊 模糊非线性系统 参数变换法 同伦法
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基于三角形模糊数的非线性T-S模糊系统的峰值点和分量半径优化 被引量:1
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作者 王宏志 陶玉杰 王贵君 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2016年第3期264-270,278,共8页
单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;... 单值模糊器是将高维空间中一个实值点映射成该空间上的一个单值模糊集,在构造非线性T-S模糊系统时不仅可克服输入变量的噪声问题,而且能减少模糊推理机设计中的计算量.首先,基于分片线性函数和单值模糊器给出了非线性T-S模糊系统模型;并依据广义三角形的重心坐标公式,对等距剖分论域中的峰值点和分量半径等参数进行了优化;最后,通过模拟实例对系统进行了验证,得到优化后的非线性T-S模糊系统确实有更好的逼近效果. 展开更多
关键词 分片线性函数 单值模糊 非线性T-S模糊系统 峰值点 分量半径
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非线性动态模糊系统过程控制与稳定性分析 被引量:1
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作者 张静 李凡长 《计算机应用与软件》 CSCD 北大核心 2008年第2期80-83,共4页
针对自动控制领域中存在的大量的非线性动态模糊系统,提出了非线性动态模糊系统过程控制模型,并给出了动态模糊控制器的设计算法和该模型的稳定性分析,很好地解决了模糊控制系统所不能解决的动态性问题。
关键词 非线性动态模糊系统过程控制模型 动态模糊控制系统 动态模糊控制器
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基于三角形模糊化的非线性T-S模糊系统对p-可积函数的逼近性 被引量:3
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作者 张国英 王贵君 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2015年第5期537-541,共5页
通过给定p-可积函数,引入了分片线性函数(PLF)的解析表达式.基于三角形模糊化、乘积推理机和中心平均解模糊化构造了一类新的非线性T-S模糊系统,在p-积分模下证得非线性T-S模糊系统对此分片线性函数具有逼近性,进而得到该系统对p-可积... 通过给定p-可积函数,引入了分片线性函数(PLF)的解析表达式.基于三角形模糊化、乘积推理机和中心平均解模糊化构造了一类新的非线性T-S模糊系统,在p-积分模下证得非线性T-S模糊系统对此分片线性函数具有逼近性,进而得到该系统对p-可积函数亦具逼近性能. 展开更多
关键词 分片线性函数 三角形模糊 非线性T-S模糊系统 p-可积函数 逼近性
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基于高斯隶属函数的非线性T-S模糊系统的逼近性
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作者 张国英 王贵君 《天津师范大学学报(自然科学版)》 CAS 2016年第1期1-3,共3页
基于最小推理机、单点模糊化和中心平均解模糊化方法构造了一类非线性T-S模糊系统,根据Stone-Weierstrass定理证明了该T-S模糊系统对多元连续函数具有逼近性能.
关键词 最小推理机 高斯隶属函数 非线性T-S模糊系统 逼近性
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不确定T-S模糊系统鲁棒非脆弱H_∞控制 被引量:1
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作者 岳菊梅 李俊民 闫永义 《系统工程与电子技术》 EI CSCD 北大核心 2008年第5期909-913,共5页
针对具有状态和输入不确定性的连续时间非线性模糊Takagi-Sugeno(T-S)系统模型,研究了其H∞稳定和模糊非脆弱控制器的设计问题。基于Lyapunov函数稳定性分析理论,采用PDC基本思想和LMI方法,在控制器参数具有加性和乘性摄动的前提下,设... 针对具有状态和输入不确定性的连续时间非线性模糊Takagi-Sugeno(T-S)系统模型,研究了其H∞稳定和模糊非脆弱控制器的设计问题。基于Lyapunov函数稳定性分析理论,采用PDC基本思想和LMI方法,在控制器参数具有加性和乘性摄动的前提下,设计出了其非脆弱H∞模糊控制器,使闭环系统对允许的不确定参数具有H∞稳定。实例仿真结果验证了该控制器设计方法的有效性和可行性。 展开更多
关键词 不确定连续非线性模糊系统 T-S模糊模型 并行分布补偿 线性矩阵不等式 LYAPUNOV函数
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用于静止无功补偿器的模糊-PID控制方法研究 被引量:7
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作者 曾光 柯敏倩 张静刚 《电力电子技术》 CSCD 北大核心 2005年第5期112-114,共3页
简要分析了静止无功补偿器(Static Var Compensator,SVC)控制系统的组成和补偿原理,提出一种用于SVC控制器的模糊鄄PID双模控制设计方法。该模糊鄄PID控制器综合了模糊和PID两种控制方式的优点,根据预先给定的偏差范围在两种模态之间自... 简要分析了静止无功补偿器(Static Var Compensator,SVC)控制系统的组成和补偿原理,提出一种用于SVC控制器的模糊鄄PID双模控制设计方法。该模糊鄄PID控制器综合了模糊和PID两种控制方式的优点,根据预先给定的偏差范围在两种模态之间自动切换。该控制器用于控制非线性系统时,既具有模糊控制的简单有效,又具有PID控制的精确性。最后,给出了平衡与不平衡负载条件下的电压电流动静态波形。实验结果表明,该控制器具有较高的控制精度和鲁棒性。 展开更多
关键词 无功功率补偿 非线性系统/模糊-PID双模控制 鲁棒性
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Direct adaptive fuzzy control based on integral-type Lyapunov function 被引量:4
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作者 张天平 朱清 +1 位作者 张惠艳 顾海军 《Journal of Southeast University(English Edition)》 EI CAS 2003年第1期92-97,共6页
A new scheme of direct adaptive fuzzy controller for a class of nonlinear systems with unknown triangular control gain structure is proposed. The design is based on the principle of sliding mode control and the approx... A new scheme of direct adaptive fuzzy controller for a class of nonlinear systems with unknown triangular control gain structure is proposed. The design is based on the principle of sliding mode control and the approximation capability of the first type fuzzy systems. By introducing integral-type Lyapunov function and adopting the adaptive compensation term of optimal approximation error, the closed-loop control system is proved to be globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach. 展开更多
关键词 fuzzy systems fuzzy control adaptive control global stability
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The Application and Design of the Economical Nonlinear Controller
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作者 陈杰 龚至豪 +1 位作者 陈绿深 周宁 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期47+42-47,共7页
This anticle gives a design method of the economical nonlinear controller. The controller is composed of an expert intelligent coordination controller, a fuzzy prediction controller, a fuzzy feedforward controller, a ... This anticle gives a design method of the economical nonlinear controller. The controller is composed of an expert intelligent coordination controller, a fuzzy prediction controller, a fuzzy feedforward controller, a nonlinear controller and so on. The consistence of a distributed control system based on this controller is also shown briefly. 展开更多
关键词 fuzzy control theory nonlinear control system predictions distributed control system/intelligent control
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Decentralized Control Based on FNNSMC for Interconnected Uncertain Nonlinear Systems
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作者 达飞鹏 宋文忠 《Journal of Southeast University(English Edition)》 EI CAS 1998年第2期86-92,共7页
A new type controller, fuzzy neural networks sliding mode controller (FNNSMC), is developed for a class of large scale systems with unknown bounds of high order interconnections and disturbances. Although sliding mod... A new type controller, fuzzy neural networks sliding mode controller (FNNSMC), is developed for a class of large scale systems with unknown bounds of high order interconnections and disturbances. Although sliding mode control is simple and insensitive to uncertainties and disturbances, there are two main problems in the sliding mode controller (SMC): control input chattering and the assumption of known bounds of uncertainties and disturbances. The FNNSMC, which incorporates the fuzzy neural networks (FNN) and the SMC, can eliminate the chattering by using the continuous output of the FNN to replace the discontinuous sign term in the SMC. The bounds of uncertainties and disturbances are also not required in the FNNSMC design. The simulation results show that the FNNSMC has more robustness than the SMC. 展开更多
关键词 sliding mode control fuzzy neural networks interconnected nonlinear systems
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Terminal Sliding Mode Fuzzy Control Based on Multiple Sliding Surfaces for Nonlinear Ship Autopilot Systems 被引量:2
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作者 袁雷 吴汉松 《Journal of Marine Science and Application》 2010年第4期425-430,共6页
A terminal sliding mode fuzzy control based on multiple sliding surfaces was proposed for ship course tracking steering, which takes account of rudder characteristics and parameter uncertainty. In order to solve the p... A terminal sliding mode fuzzy control based on multiple sliding surfaces was proposed for ship course tracking steering, which takes account of rudder characteristics and parameter uncertainty. In order to solve the problem, the controller was designed by employing the universal approximation property of fuzzy logic system, the advantage of Nussbaum function, and using multiple sliding mode control algorithm based on the recursive technique. In the last step of designing, a nonsingular terminal sliding mode was utilized to drive the last state of the system to converge in a finite period of time, and high-order sliding mode control law was designed to eliminate the chattering and make the system robust. The simulation results showed that the controller designed here could track a desired course fast and accurately. It also exhibited strong robustness peculiarly to system, and had better adaptive ability than traditional PID control algorithms. 展开更多
关键词 ship course control unmatched uncertainty multiple sliding mode control nonsingular terminal sliding mode control ROBUSTNESS
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Design of H_∞ robust fault detection filter for nonlinear time-delay systems 被引量:4
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作者 BAI Lei-shi HE Li-ming +1 位作者 TIAN Zuo-hua SHI Song-jiao 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第10期1733-1741,共9页
In this paper, the robust fault detection filter (RFDF) design problems are studied for nonlinear time-delay systems with unknown inputs. First, a reference residual model is introduced to formulate the RFDF design pr... In this paper, the robust fault detection filter (RFDF) design problems are studied for nonlinear time-delay systems with unknown inputs. First, a reference residual model is introduced to formulate the RFDF design problem as an H∞ model-matching problem. Then appropriate input/output selection matrices are introduced to extend a performance index to the time-delay systems in time domain. The reference residual model designed according to the performance index is an optimal residual generator, which takes into account the robustness against disturbances and sensitivity to faults simultaneously. Applying robust H∞ optimization control technique, the existence conditions of the RFDF for nonlinear time-delay systems with unknown inputs are presented in terms of linear matrix inequality (LMI) formulation, independently of time delay. An illustrative design example is used to demonstrate the validity and applicability of the proposed approach. 展开更多
关键词 Nonlinear time-delay systems Robust fault detection filter iRFDF H∞ optimization Linear matrix inequality (LMI)
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Fault-Tolerant Control of Nonlinear Systems Based on Fuzzy Neural Networks 被引量:1
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作者 左东升 姜建国 《Journal of Donghua University(English Edition)》 EI CAS 2009年第6期634-638,共5页
Due to its great potentisl value in theory and application, fault-tolerant control atrategies of nonlinear systems, especially combining with intelligent control methods, have been a focus in the academe. A fault-tole... Due to its great potentisl value in theory and application, fault-tolerant control atrategies of nonlinear systems, especially combining with intelligent control methods, have been a focus in the academe. A fault-tolerant control method based on fuzzy neural networks was presented for nonlinear systems in this paper. The fault parameters were designed to detect the fault, adaptive updating method was introduced to estimate and track fault, and fuzzy neural networks were used to adjust the fault parameters and construct automated fault diagnosis. And the fault compeusation control force, which was given by fault estimation, was used to realize adaptive fault-tolerant control. This framework leaded to a simple structure, an accurate detection, and a high robusmess. The simulation results in induction motor show that it is still able to work well with high dynamic performance and control precision under the condition of motor parameters' variation fault and load torque disturbance. 展开更多
关键词 fuzzy neural networks nonlinear sYStem fault-tolerant control ADAPTIVE
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Improvement of Dynamic and Steady Characteristics of Pneumatic Position Servo with Fuzzy-PI Control
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作者 杨功军 赵彤 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期57+53-57,共6页
This paper provided a fuzzy-PI control. It makes use of the advantages of fuzzy controller for dynamic characteristics, and the advantages of PI control for steady characteristics of pneumatic position servo. Experime... This paper provided a fuzzy-PI control. It makes use of the advantages of fuzzy controller for dynamic characteristics, and the advantages of PI control for steady characteristics of pneumatic position servo. Experimental results show that positioning accuracy meets the conventional industrial needs, and prove that the fuzzy-PI controller to be correct and more effective than the usual PID controller. The control method improve the dynamic and steady characteristics of the system. 展开更多
关键词 non-linear control system fuzzy control/pneumatic position servo fuzzy-PI control
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Traffic Forecasting Model Based on Takagi-Sugeno Fuzzy Logical System
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作者 王维工 李征 程美玲 《Journal of Donghua University(English Edition)》 EI CAS 2005年第1期129-132,共4页
The local multiple regression fuzzy(LMRF)model based on Takagi-Sugeno fuzzy logical system and its application in traffic forecasting is proposed. Besides its prediction accuracy is testified and the model is proved m... The local multiple regression fuzzy(LMRF)model based on Takagi-Sugeno fuzzy logical system and its application in traffic forecasting is proposed. Besides its prediction accuracy is testified and the model is proved much better than conventional forecasting methods. According to the regional traffic system, the model perfectly states the complex non-linear relation of the traffic and the local social economy. The model also efficiently deals with the system lack of enough data. 展开更多
关键词 T-S model traffic forecasting LMRF model.
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A kind of fuzzy control for chaotic systems
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作者 王宏伟 马广富 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第1期140-143,共4页
With a T-S fuzzy dynamic model approximating to a non-linear system,the nonlinear system can be decomposed into some local linear models.A variable structure controller based on Lyapunov theories is designed to guaran... With a T-S fuzzy dynamic model approximating to a non-linear system,the nonlinear system can be decomposed into some local linear models.A variable structure controller based on Lyapunov theories is designed to guarantee the global stability of the T-S fuzzy model.The controlling problems of a nonlinear system can be solved by means of consisting of linear system variable structure control and fuzzy control.The validity of the control method based on the simulating result of two kinds of chaotic systems is shown here. 展开更多
关键词 nonlinear system fuzzy variable structure control chaotic systems
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Multimodel Approach for Intelligent Control and Applications
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作者 Abdelkader El Kamel Pierre Borne 《Journal of Donghua University(English Edition)》 EI CAS 2004年第3期15-20,共6页
The use of the multimodel approach in the modelling, analysis and control of non-linear complex and/or ill-defined systems was advocated by many researchers. This approach supposes the definition of a set of local mod... The use of the multimodel approach in the modelling, analysis and control of non-linear complex and/or ill-defined systems was advocated by many researchers. This approach supposes the definition of a set of local models valid in a given region or domain. Different strategies exist in the literature and are generally based on a partitioning of the non-linear system’s full range of operation into multiple smaller operating regimes each of which is associated with a locally valid model or controller. However, most of these strategies, which suppose the determination of these local models as well as their validity domain, remain arbitrary and are generally fixed thanks to a certain a priori knowledge of the system whatever its order. Recently, we have proposed a new approach to derive a multimodel basis which allows us to limit the number of models in the basis to almost four models. Meanwhile, the transition problem between the different models, which may use either a simple commutation or a fusion technique, remains still arise. In this plenary talk, a fuzzy fusion technique is presented and has the following main advantages: (1) use of a fuzzy partitioning in order to determine the validity of each model which enhances the robustness of the solution; 2 introduction, besides the four extreme models, of another model, called average model, determined as an average of the boundary models. 展开更多
关键词 multimodel fuzzy fusion average model
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Adaptive Neuro-fuzzy Controller Design for Non-affine Nonlinear Systems
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作者 贾立 葛树志 邱铭森 《Journal of Donghua University(English Edition)》 EI CAS 2008年第4期389-394,共6页
An adaptive neuro-fuzzy control is investigated for a class of non-affine nonlinear systems.To do so,rigorous description and quantification of the approximation error of the neuro-fuzzy controller are firstly discuss... An adaptive neuro-fuzzy control is investigated for a class of non-affine nonlinear systems.To do so,rigorous description and quantification of the approximation error of the neuro-fuzzy controller are firstly discussed.Applying this result and Lyapunov stability theory,a novel updating algorithm to adapt the weights,centers,and widths of the neuro-fuzzy controller is presented.Consequently,the proposed design method is able to guarantee the stability of the closed-loop system and the convergence of the tracking error.Simulation results illustrate the effectiveness of the proposed adaptive neuro-fuzzy control scheme. 展开更多
关键词 adaptive control neuter fuzzy systems nona f fine nonlinear systems
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Fuzzy Static Output Feedback H_∞ Control for Nonlinear Systems Subject to Parameter Uncertainties 被引量:4
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作者 ZHAO Tao DIAN Songyi 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2018年第2期343-371,共29页
This study is concerned with the stabilization issue of nonlinear systems subject to parameter uncertainties. An interval type-2 T-S fuzzy model is used to represent the nonlinear systems subject to parameter uncertai... This study is concerned with the stabilization issue of nonlinear systems subject to parameter uncertainties. An interval type-2 T-S fuzzy model is used to represent the nonlinear systems subject to parameter uncertainties. An interval type-2 fuzzy static output feedback controller is designed to synthesize the interval type-2 T-S fuzzy systems. The membership-function-dependent stability conditions are derived by utilizing the information of upper and lower membership functions. The proposed stability conditions are presented in the form of linear matrix inequalities(LMIs). LMI-based stability conditions for interval type-2 fuzzy static output feedback H_∞ control synthesis are also developed.Several simulation examples are given to show the superiority of the proposed approach. 展开更多
关键词 Interval type-2 fuzzy controller parameter uncertainties static output feedback control T-S fuzzy systems.
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