Fuzzy Dissipativity Design for Global Disturbance Rejection for the Nonlinear Benchmark Problem
نویسندگان
چکیده
Nonlinear Benchmark Problem Yi Guo , David J. Hill , Zhong-Ping Jiang Department of Electrical Engineering The University of Sydney, NSW 2006, AUSTRALIA Email: [email protected], [email protected], [email protected] Abstract| In this paper, we study the fuzzy dissipativity design method and apply it to the nonlinear benchmark problem. By representing the nonlinear system with a dynamical fuzzy model and then rendering each local subsystem dissipative, a global control law can be obtained by smooth aggregation of the local controllers. This method avoids solving the global nonlinear Hamilton-Jacobi inequality but achieves global disturbance rejection for the closed loop system.
منابع مشابه
DISTURBANCE REJECTION IN NONLINEAR SYSTEMS USING NEURO-FUZZY MODEL
The problem of disturbance rejection in the control of nonlinear systems with additive disturbance generated by some unforced nonlinear systems, was formulated and solved by {itshape Mukhopadhyay} and {itshape Narendra}, they applied the idea of increasing the order of the system, using neural networks the model of multilayer perceptron on several systems of varying complexity, so the objective...
متن کاملRobust Fuzzy Gain-Scheduled Control of the 3-Phase IPMSM
This article presents a fuzzy robust Mixed - Sensitivity Gain - Scheduled H controller based on the Loop -Shaping methodology for a class of MIMO uncertain nonlinear Time - Varying systems. In order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by Takagi and Sugeno’s (T - S) fuzzy approach. Both Loop - Shaping methodology and...
متن کاملGuaranteed-cost control of the nonlinear benchmark problem using model-based fuzzy systems
In this paper we design a state-feedback controller for the nonlinear benchmark problem. Our approach relies on the use of Takagi-Sugeno fuzzy models to approximate the nonlinear system. Once €he fuzzy model is obtained, we develop a guaranteed-cost framework to design the controller using Linear Matrix Inequality methods and recently obtained relaxed stability conditions. We show that our prop...
متن کاملA Dissipative Integral Sliding Mode Control Redesign Method
This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...
متن کاملA Comparison of Different Control Design Methods for the Linearized CSTR Temperature Model
Continuous Stirred Tank Reactor (CSTR) has particular importance in chemical industry. CSTR has usually a nonlinear behavior which makes it difficult to control. The reactor has two parameters: the concentration and temperature of mixture both of which are uncertain. This case of CSTR has large disturbance in domain. In order for disturbance rejection, a controller has to be designed. In this p...
متن کامل