Finite-time H∞ control synthesis for nonlinear switched systems using T–S fuzzy model

Finite-time boundedness (FTB) concerns with the quantitative properties of system parameters during a finite time interval, in presence of external noise. In this paper, the problem of designing H∞H∞ controllers ensuring FTB for continuous-time nonlinear switched systems is presented. Sufficient conditions for FTB based on average dwell time method are proposed, and the parallel distributed compensation (PDC) scheme is employed to design switched fuzzy controllers from the corresponding T-S fuzzy models. In our investigation, design procedure is presented in the form of linear matrix inequalities (LMIs). Several numerical examples are given to illustrate the effectiveness of the proposed results.