State feedback controller design for a class of hybrid systems with time-delay under input constraints

In this paper, we present an algorithm to design a state feedback controller for a class of hybrid systems with time-delay under input constraints to guarantee the asymptotic stability. First, the class of hybrid systems is modeled as a switched system with time-delay. Then, in succession algorithm is proposed which hinges on the use of common Lyapunov function and piecewise quadratic (PWQ) Lyapunov functions that can be computed as the solution of a set of linear matrix inequalities (LMIs). Furthermore, taking into account the constraints on the control action, the state feedback controller is synthesized. Finally, a numerical example is given to demonstrate th e effectiveness of the proposed approaches