Output Feedback Stabilization Of Discrete-Time Fuzzy Systems
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)(2016)
摘要
This paper is concerned with output feedback control design for a discrete-time Takagi-Sugeno fuzzy system where the premise variable is not necessarily measurable. The Takagi-Sugeno fuzzy system generally describes nonlinear systems by employing local linear system representations, and a fuzzy system to be considered in this paper describes even a wider class of nonlinear systems. For a fuzzy system, a design method of a stabilizing output feedback controller is proposed by employing a fuzzy multiple Lyapnunov functional and descriptor system approach. These techniques reduce the conservatism in stabilizing controller design conditions. Such conditions are given in terms of a set of linear matrix inequalities(LMIs), which are easily numerically solvable. In addition, a relaxation method is used to further reduce the conservatism in design conditions. A proposed controller can be of reduced-order, which is practically useful for large-scale systems. Finally, numerical examples are given to illustrate our nonlinear control design and to show the effectiveness over other existing results.
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关键词
output feedback stabilization,output feedback control design,discrete-time Takagi-Sugeno fuzzy system,nonlinear systems,linear system representation,fuzzy multiple Lyapnunov functional,descriptor system approach,controller design condition,linear matrix inequalities,LMI,relaxation method,large-scale systems
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