Finite-time stability analysis and controller synthesis for switched linear parameter-varying systems

Abstract

In this paper, the finite-time stability analysis and controller synthesis for switched linear parameter-varying (LPV) systems are discussed. First based on the average dwell-time approach and convexity principle, a finite-time stability condition is presented for the switched LPV system with affine linear structured uncertainty. Second based on the derived results, the state feedback controllers and a class of switching signals with average dwell-time are designed in detail to solve finite-time stabilization problem. The main results are proved by using the piecewise parameter dependent Lyapunov function. Finally, numerical examples are given to demonstrate the effectiveness and the superiority of the proposed results.