Robust stabilization of discrete-Time switched systems with state delay and parametric uncertainty via model predictive control approach

This paper is devoted to investigating the robust stabilization of a class of nonlinear switched systems with state delay and uncertainties under arbitrary switching signals. For this purpose, a robust model predictive control (RMPC) method is developed for online optimization of an infinite horizon cost function. Sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to guarantee the robust stability of the closed-loop system. To reduce the computational load and the conservatism of the stability analysis, parametric uncertainties are considered. Numerical and practical examples are presented to demonstrate the effectiveness of the proposed method.