In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...

This paper is concerned with the H∞ control problem for a class of non-minimum phase cascade switched nonlinear systems. The system under consideration is composed of two cascade-connected parts which are also switched systems. Sufficient conditions under which the H∞ control problem is solvable under an arbitrary switching law are presented. The Common Lyapunov function and the switched state ...

We consider digital feedback control systems with time-varying sampling periods consisting of an interconnection of a continuous-time nonlinear plant, a nonlinear digital controller and appropriate interface elements between the plant and controller (A/D and D/A converters). For such systems we study the stability properties of an equilibrium (in the Lyapunov sense) and apply these results in t...

This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...

Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...