Observer-feedback fuzzy control with passivity property for discrete-time affine Takagi-Sugeno fuzzy models

Abstract

By considering discrete-time affine Takagi-Sugeno fuzzy models, this paper presents an observer-feedback fuzzy control approach for achieving the passivity property of closed-loop systems. The passivity property of the system is used to deal with all external disturbances. The proposed observer-feedback fuzzy controller is developed based on the parallel distribution compensation technique. Also, an iterative linear matrix inequality algorithm is used to obtain a feasible solution for the proposed observer-feedback fuzzy control problem. Finally, two numerical simulations of discrete-time nonl-inear systems are presented that highlight the application of the proposed observer-feedback fuzzy controller design approach.