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Feedforward and feedback optimal control for linear time-varying systems with persistent disturbances
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作者 唐功友 郑师 +1 位作者 张宝琳 赵艳东 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第6期850-852,共3页
The optimal control problem was studied for linear time-varying systems,which was affected by external persistent disturbances with known dynamic characteristics but unknown initial conditions. To damp the effect of d... The optimal control problem was studied for linear time-varying systems,which was affected by external persistent disturbances with known dynamic characteristics but unknown initial conditions. To damp the effect of disturbances in an optimal fashion,we obtained a new feedforward and feedback optimal control law and gave the control algorithm by solving a Riccati differential equation and a matrix differential equation. Simulation results showed that the achieved optimal control law was realizable,efficient and robust to reject the external disturbances. 展开更多
关键词 linear time-varying systems persistent disturbances optimal control feedforward and feedback control
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Existence and Uniqueness of the Optimal Control in Hilbert Spaces for a Class of Linear Systems
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作者 M. Popescu 《Intelligent Information Management》 2010年第2期134-142,共9页
We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer problems. The sta... We analyze the existence and uniqueness of the optimal control for a class of exactly controllable linear systems. We are interested in the minimization of time, energy and final manifold in transfer problems. The state variables space X and, respectively, the control variables space U, are considered to be Hilbert spaces. The linear operator T(t) which defines the solution of the linear control system is a strong semigroup. Our analysis is based on some results from the theory of linear operators and functional analysis. The results obtained in this paper are based on the properties of linear operators and on some theorems from functional analysis. 展开更多
关键词 EXISTENCE and UNIQUENESS optimal control controlLABLE linear systems linear Operator
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Feedback Linearization Optimal Control Approach for Bilinear Systems in CSTR Chemical Reactor
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作者 Dexin Gao Qing Yang +1 位作者 Min Wang Yongmao Yu 《Intelligent Control and Automation》 2012年第3期274-277,共4页
This paper considers the optimal control problem for the bilinear system based on state feedback. Based on the concept of relative order of the output with respect to the input, first we change a bilinear system to a ... This paper considers the optimal control problem for the bilinear system based on state feedback. Based on the concept of relative order of the output with respect to the input, first we change a bilinear system to a pseudo linear system model through the coordinate transformation. Then based on the theory of linear quadratic optimal control, the optimal controller is designed by solving the Riccati equation and introducing state feedback with state prediction. At last, the simulation results in CSTR Chemical reactor show the effectiveness of the method. 展开更多
关键词 BIlinear System FEEDBACK linearIZATION optimal control
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Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization
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作者 Mohammad Hadi Noori Skandari Emran Tohidi 《Applied Mathematics》 2011年第5期646-652,共7页
In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, ... In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, in three phases. In the first phase, using linear combination property of intervals, changes nonlinear system to an equivalent linear system, in the second phase, using discretization method, the attained problem is converted to a linear programming problem, and in the third phase, the latter problem will be solved by linear programming methods. In addition, efficiency of our approach is confirmed by some numerical examples. 展开更多
关键词 linear and NONlinear optimal control linear Combination Property of INTERVALS linear Programming DISCRETIZATION Dynamical control systems
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Indefinite Linear Quadratic Optimal Control Problem for Singular Linear Discrete-time System: Krein Space Method
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作者 CUI Peng ZHANG Cheng-Hui 《自动化学报》 EI CSCD 北大核心 2007年第6期635-640,共6页
有限时间地平线不定线性二次(LQ ) 为单个线性分离变化时间的系统的最佳的控制问题被讨论。为单个系统的不定的 LQ 最佳的控制问题能在一个合理假设下面为标准州空间的系统被转变到那。不定的 LQ 最佳的控制问题对为向后的随机的系统的... 有限时间地平线不定线性二次(LQ ) 为单个线性分离变化时间的系统的最佳的控制问题被讨论。为单个系统的不定的 LQ 最佳的控制问题能在一个合理假设下面为标准州空间的系统被转变到那。不定的 LQ 最佳的控制问题对为向后的随机的系统的设计的双,这被显示出。因此,最佳的 LQ 控制器能被计算 Kalman 过滤器的获得矩阵获得。为不定的 LQ 问题保证一个唯一的答案的必要、足够的条件被给。这个问题的一个明确的解决方案以 Riccati 差别方程的答案被获得。 展开更多
关键词 模糊线性二次最佳控制 单次线性离散时间系统 有限时间 差异方程 KaLman过滤
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TIME AND NORM OPTIMAL CONTROLS:A SURVEY OF RECENT RESULTS AND OPEN PROBLEMS
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作者 H. O. Fattorini 《Acta Mathematica Scientia》 SCIE CSCD 2011年第6期2203-2218,共16页
We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin's maximum principle. In particular, we discus... We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin's maximum principle. In particular, we discuss optimality (or nonoptimality) of singular controls satisfying the maximum principle and smoothness of the costate in function of smoothness of the target. 展开更多
关键词 linear control systems in Banach spaces time optimal problem norm optimal problem
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Global robust optimal sliding mode control for uncertain affine nonlinear systems 被引量:5
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作者 Pang Haiping Chen Xia 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第4期838-843,共6页
The problem of robustifying linear quadratic regulators (LQRs) for a class of uncertain affine nonlinear systems is considered. First, the exact linearization technique is used to transform an uncertain nonlinear sy... The problem of robustifying linear quadratic regulators (LQRs) for a class of uncertain affine nonlinear systems is considered. First, the exact linearization technique is used to transform an uncertain nonlinear system into a linear one and an optimal LQR is designed for the corresponding nominal system. Then, based on the integral sliding mode, a design approach to robustifying the optimal regulator is studied. As a result, the system exhibits global robustness to uncertainties and the ideal sliding mode dynamics is the same as that of the optimal LQR for the nominal system. A global robust optimal sliding mode control (GROSMC) is realized. Finally, a numerical simulation is demonstrated to show the effectiveness and superiority of the proposed algorithm compared with the conventional optimal LQR. 展开更多
关键词 robust control optimal control sliding mode control nonlinear systems uncertain systems exact linearization.
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Optimal Control of Nonlinear Systems Using Experience Inference Human-Behavior Learning
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作者 Adolfo Perrusquía Weisi Guo 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2023年第1期90-102,共13页
Safety critical control is often trained in a simulated environment to mitigate risk.Subsequent migration of the biased controller requires further adjustments.In this paper,an experience inference human-behavior lear... Safety critical control is often trained in a simulated environment to mitigate risk.Subsequent migration of the biased controller requires further adjustments.In this paper,an experience inference human-behavior learning is proposed to solve the migration problem of optimal controllers applied to real-world nonlinear systems.The approach is inspired in the complementary properties that exhibits the hippocampus,the neocortex,and the striatum learning systems located in the brain.The hippocampus defines a physics informed reference model of the realworld nonlinear system for experience inference and the neocortex is the adaptive dynamic programming(ADP)or reinforcement learning(RL)algorithm that ensures optimal performance of the reference model.This optimal performance is inferred to the real-world nonlinear system by means of an adaptive neocortex/striatum control policy that forces the nonlinear system to behave as the reference model.Stability and convergence of the proposed approach is analyzed using Lyapunov stability theory.Simulation studies are carried out to verify the approach. 展开更多
关键词 Experience inference hippocampus learning system linear time-variant(LTV)systems neocortex/striatum learning systems nonlinear systems optimal control
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Optimal Control for Time-Delay Bilinear Systems with Sinusoidal Disturbances
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作者 Dexin Gao Min Wang Leilei Li 《Intelligent Control and Automation》 2013年第1期32-35,共4页
This paper considers the optimal control problem for time-delay bilinear systems affected by sinusoidal disturbances with known frequency and measurable amplitude and phase. Firstly, using the differential homeomorphi... This paper considers the optimal control problem for time-delay bilinear systems affected by sinusoidal disturbances with known frequency and measurable amplitude and phase. Firstly, using the differential homeomorphism, a time-delay bilinear system affected by sinusoidal disturbances is changed to a time-delay pseudo linear system through the coordinate transformation. Then the system with time-delay in control variable is transformed to a linear controllable system without delay using model transformation. At last based on the theory of linear quadratic optimal control, an optimal control law which is used to eliminate the influence of the disturbances is derived from a Riccati equation and Matrix equations. The simulation results show the effectiveness of the method. 展开更多
关键词 TIME-DELAY BIlinear System FEEDBACK linearIZATION Sinusoidal Disturbances optimal control
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Optimal guaranteed cost control for fuzzy descriptor systems with time-varying delay 被引量:2
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作者 Tian Weihua1,2 & Zhang Huaguang3 1. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China 2. Dept. of Automatic Control, Shenyang Inst. of Engineering, Shenyang 110136, P. R. China 3. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China. (Received December 27, 2006) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期584-591,共8页
Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is... Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities (LMIs), and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller. 展开更多
关键词 fuzzy descriptor systems optimal guaranteed cost control time-varying delay linear matrix inequalities (LMIs).
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A new approach on designing l_1 optimal regulator with minimum order for SISO linear systems
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作者 Xiang LIU 《控制理论与应用(英文版)》 EI 2006年第2期155-158,共4页
For a SlSO linear discrete-time system with a specified input signal, a novel method to realize optimal l1 regulation control is presented. Utilizing the technique of converting a polynomial equation to its correspond... For a SlSO linear discrete-time system with a specified input signal, a novel method to realize optimal l1 regulation control is presented. Utilizing the technique of converting a polynomial equation to its corresponding matrix equation, a linear programming problem to get an optimal l1 norm of the system output error map is developed which includes the first term and the last term of the map sequence in the objective function and the right vector of its constraint matrix equation, respectively. The adjustability for the width of the constraint matrix makes the trade-off between the order of the optimal regulator and the value of the minimum objective norm become possible, especially for achieving the optimal regulator with minimum order. By norm scaling rules for the constraint matrix equation, the optimal solution can be scaled directly or be obtained by solving a linear programming problem with l1 norm objective. 展开更多
关键词 linear discrete-time systems l1 norm optimal control Matrix equation linear programming
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Mixed L_1/H-infinity control for uncertain linear singular systems
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作者 Xiaofu JI Yukun SUN +1 位作者 Yonghong HUANG Hongye SU 《控制理论与应用(英文版)》 EI 2009年第2期134-138,共5页
The mixed L1/H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach. The purpose is to design a state feedback control law such that the resultant ... The mixed L1/H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach. The purpose is to design a state feedback control law such that the resultant closed-loop system is regular, impulse-free, stable and satisfies some given mixed L1/H-infinity performance. A sufficient condition for the existence of such control law is given in terms of a set of matrix inequalities by the introduction of inescapable set and *-norm. When these matrix inequalities are feasible, an explicit expression of the desired state feedback control law is given. A numerical example is used to demonstrate the applicability of the proposed approach. 展开更多
关键词 Mixed L 1/H-infinity optimization Robust control Uncertain linear singular system Matrix inequality
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Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems 被引量:5
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作者 颜文俊 张森林 《Journal of Zhejiang University Science》 EI CSCD 2004年第7期827-834,共8页
This paper proposes a new approach for multi-objective robust control. The approach extends the standard generalized l2 (Gl2) and generalized H2 (GH2) conditions to a set of new linear matrix inequality (LMI) constra... This paper proposes a new approach for multi-objective robust control. The approach extends the standard generalized l2 (Gl2) and generalized H2 (GH2) conditions to a set of new linear matrix inequality (LMI) constraints based on a new stability condition. A technique for variable parameterization is introduced to the multi-objective control problem to preserve the linearity of the synthesis variables. Consequently, the multi-channel multi-objective mixed Gl2/GH2 control problem can be solved less conservatively using computationally tractable algorithms developed in the paper. 展开更多
关键词 Mixed Gl2/GH2 synthesis Multi-objective optimization Robust control Discrete linear time-invariant systems G-shaping paradigm
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Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System 被引量:2
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作者 Yan Song Haifeng Lou Shuai Liu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI 2015年第4期374-381,共8页
This paper is concerned with the distributed model predictive control (MPC) problem for a class of discrete-time Markovian jump linear systems (MJLSs) subject to actuator saturation and polytopic uncertainty in system... This paper is concerned with the distributed model predictive control (MPC) problem for a class of discrete-time Markovian jump linear systems (MJLSs) subject to actuator saturation and polytopic uncertainty in system matrices. The global system is decomposed into several subsystems which coordinate with each other. A set of distributed controllers is designed by solving a min-max optimization problem in terms of the solutions of linear matrix inequalities (LMIs). An iterative algorithm is developed to achieve the online computation. Finally, a simulation example is employed to show the effectiveness of the proposed algorithm. © 2014 Chinese Association of Automation. 展开更多
关键词 Actuators ALGORITHMS Iterative methods linear matrix inequalities linear systems Markov processes Matrix algebra Model predictive control Optimization Predictive control systems Robustness (control systems)
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Optimization problems for switched systems with impulsive control 被引量:1
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作者 JunhaoHU HuayouWANG +1 位作者 XinzhiLIU BmLIU 《控制理论与应用(英文版)》 EI 2005年第1期93-100,共8页
By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impu... By using Impulsive Maximum Principal and three stage optimization method,this paper discusses optimization problems for linear impulsive switched systems with hybridcontrols, which includes continuous control and impulsive control. The linear quadratic optimizationproblems without constraints such as optimal hybrid control, optimal stability and optimalswitching instants are addressed in detail. These results are applicable to optimal control problemsin economics,mechanics, and management. 展开更多
关键词 impulsive control switched systems OPTIMIZATION linear quadratic maximumprincipal
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Design of Discrete-time Repetitive Control System Based on Two-dimensional Model 被引量:1
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作者 Song-Gui Yuan Min Wu +1 位作者 Bao-Gang Xu Rui-Juan Liu 《International Journal of Automation and computing》 EI 2012年第2期165-170,共6页
This paper presents a novel design method for discrete-time repetitive control systems (RCS) based on two-dimensional (2D) discrete-time model. Firstly, the 2D model of an RCS is established by considering both th... This paper presents a novel design method for discrete-time repetitive control systems (RCS) based on two-dimensional (2D) discrete-time model. Firstly, the 2D model of an RCS is established by considering both the control action and the learning action in RCS. Then, through constructing a 2D state feedback controller, the design problem of the RCS is converted to the design problem of a 2D system. Then, using 2D system theory and linear matrix inequality (LMI) method, stability criterion is derived for the system without and with uncertainties, respectively. Parameters of the system can be determined by solving the LMI of the stability criterion. Finally, numerical simulations validate the effectiveness of the proposed method. 展开更多
关键词 linear systems learning control discrete-time repetitive control two-dimensional (2D) systems linear matrix inequality.
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On the Solutions of the Matrix Equations in Optimal Stochastic Control
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作者 Deng, Feiqi Hu, Gang +1 位作者 Liu, Yongqing Feng, Zhaoshu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1999年第3期38-43,共6页
In this paper, the matrix algebraic equations involved in the optimal control problem of time-invariant linear Ito stochastic systems, named Riccati- Ito equations in the paper, are investigated. The necessary and suf... In this paper, the matrix algebraic equations involved in the optimal control problem of time-invariant linear Ito stochastic systems, named Riccati- Ito equations in the paper, are investigated. The necessary and sufficient condition for the existence of positive definite solutions of the Riccati- Ito equations is obtained and an iterative solution to the Riccati- Ito equations is also given in the paper thus a complete solution to the basic problem of optimal control of time-invariant linear Ito stochastic systems is then obtained. An example is given at the end of the paper to illustrate the application of the result of the paper. 展开更多
关键词 Computational methods control system analysis control system synthesis Iterative methods linear control systems Matrix algebra optimal control systems Riccati equations
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EXACT LINEARIZATION BASED MULTIPLE-SUBSPACE ITERATIVE RESOLUTION TO AFFINE NONLINEAR CONTROL SYSTEM
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作者 徐自祥 周德云 邓子辰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第12期1665-1671,共7页
To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structura... To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control, multiple-substructure method was inducted to solve the optimal control problem which was linearized. And finally the solution to the original nonlinear system was found. Compared with the classical linearizational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region. 展开更多
关键词 affine nonlinear system precise linearization multiple-substructure optimal control
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Optimal Rate Control for Transporting VBR Video over QoS-assured Channels
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作者 LI Chun-Wen ZHU Peng 《自动化学报》 EI CSCD 北大核心 2007年第1期32-36,共5页
In this paper we discuss how to select appropriate source and channel rate for transporting variable bit-rate (VBR) compressed video over QoS (quality of service)-assured channels. We first formulate it as an optimal ... In this paper we discuss how to select appropriate source and channel rate for transporting variable bit-rate (VBR) compressed video over QoS (quality of service)-assured channels. We first formulate it as an optimal control problem of discrete linear time-delay system. Then the discrete maximum principle is used to get the optimal control. Compared to traditional solutions, the proposed algorithm is designed for the coder with continuous output rate, and can work without special requirements for the encoder and decoder buffer sizes. Theoretical analysis and experimental results show that the proposed algorithm has lower space and time complexity. Our solution can be used in both off-line and on-line coding. 展开更多
关键词 电视录象 最大原则 控制原理 问题规律
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Design of Soft Computing Based Optimal PI Controller for Greenhouse System
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作者 A. Manonmani T. Thyagarajan +1 位作者 S. Sutha V. Gayathri 《Circuits and Systems》 2016年第11期3431-3447,共17页
Greenhouse system (GHS) is the worldwide fastest growing phenomenon in agricultural sector. Greenhouse models are essential for improving control efficiencies. The Relative Gain Analysis (RGA) reveals that the GHS con... Greenhouse system (GHS) is the worldwide fastest growing phenomenon in agricultural sector. Greenhouse models are essential for improving control efficiencies. The Relative Gain Analysis (RGA) reveals that the GHS control is complex due to 1) high nonlinear interactions between the biological subsystem and the physical subsystem and 2) strong coupling between the process variables such as temperature and humidity. In this paper, a decoupled linear cooling model has been developed using a feedback-feed forward linearization technique. Further, based on the model developed Internal Model Control (IMC) based Proportional Integrator (PI) controller parameters are optimized using Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) to achieve minimum Integral Square Error (ISE). The closed loop control is carried out using the above control schemes for set-point change and disturbance rejection. Finally, closed loop servo and servo-regulatory responses of GHS are compared quantitatively as well as qualitatively. The results implicate that IMC based PI controller using PSO provides better performance than the IMC based PI controller using GA. Also, it is observed that the disturbance introduced in one loop will not affect the other loop due to feedback-feed forward linearization and decoupling. Such a control scheme used for GHS would result in better yield in production of crops such as tomato, lettuce and broccoli. 展开更多
关键词 Greenhouse System Feedback-Feed Forward linearization and Decoupling IMC Based PI controller Genetic Algorithm Particle Swarm Optimization Nonlinear System
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