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Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model

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3 Author(s)
Lam, H.K. ; DEpt. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China ; Leung, F.H.F. ; Tam, P.K.S.

This paper presents the stability analysis of a fuzzy-model-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the nonlinear gains of the controller. The nonlinear plant is represented by a fuzzy model having p rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition is reduced to p linear matrix inequalities. An application example on stabilizing a mass-spring-damper system will be given

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Fuzzy Systems, IEEE Transactions on  (Volume:9 ,  Issue: 4 )