Design of variable structure control for fuzzy nonlinear systems
In this paper, the variable structure control problem is presented for TakagiSugeno fuzzy systems with uncertainties and external disturbances. The sliding surfaces for the TS fuzzy system are proposed by using a Lyapunov function and a fuzzy Lyapunov function, respectively. And we design the variable structure controllers such that the global TS fuzzy system confined on the sliding surfaces is asymptotically stable. Two examples are given to illustrate the effectiveness of our proposed methods.
variable structure control nonlinear system fuzzy system sliding mode control linear matrix inequality (lmis)