On the computation of the robust viability kernel for switched systems

Abstract

AbstractThis paper presents an algorithm of computing the robust viability kernel for discrete‐time switched systems with arbitrary switching rule and bounded disturbance based on the robust one‐step set and Pontryagin difference. The algorithm can be implemented by performing the relevant set computations using polyhedral algebra and computational geometry software when switched systems are linear. In addition, we propose a method of computing inner approximation of the robust viability kernel for switched systems based on the set theory. The convergence of the iterative algorithm is proved using a null controllable set. Finally, two examples are provided to show the effectiveness of the proposed method.