On the dissipativity of nonlinear systems: Fuzzy control approach

doi:10.1016/j.fss.2005.05.006

Fuzzy Sets and Systems

Volume 156, Issue 2, 1 December 2005, Pages 185-207

https://doi.org/10.1016/j.fss.2005.05.006 Get rights and content

Abstract

A controller with large dissipativity is designed and implemented. The stability margin is increased in order to tolerate the uncertainties and the disturbance in the nonlinear system. In this study, the dissipativity of a nonlinear system is facilitated via fuzzy control method. First, the nonlinear system is represented by an Takagi and Sugeno fuzzy model. If the state variables of the nonlinear system are available, then a state feedback fuzzy control is developed to guarantee that the nonlinear control system is dissipative. This design problem becomes a linear matrix inequality (LMI) problem. The maximum dissipativity design is obtained by solving an eigenvalue problem (EVP). If the state variables are not available, a fuzzy observer-based state feedback controller will be used to solve the dissipative problem of the nonlinear system. Simulation examples are given to illustrate the design procedures and performances of the proposed method.

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On the dissipativity of nonlinear systems: Fuzzy control approach

Abstract

Fuzzy Sets and Systems

Fuzzy sets and Systems

Automatica

Fuzzy Sets and Systems

Systems Control Lett.

System Contr. Lett.

Linear Matrix Inequalities in System and Control Theory

Analysis and design for a class of complex control systems, part I: fuzzy modeling and identification

Automatica

Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

IEEE Trans. Fuzzy Systems

H∞ design with pole placement constraints: An LMI approach

IEEE Trans. Automat. Control

LMI Control Toolbox, The MathWorks

Dissipative H2/H∞ controller synthesis

IEEE Trans. Automat. Control

Dissipative LQG control systems

IEEE Trans. Automat. Control

Mixed $H_{2} / H_{\infty}$ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

$H_{\infty}$ design with pole placement constraints: An LMI approach

Dissipative $H_{2} / H_{\infty}$ controller synthesis