This paper investigates the problem of switching performance optimal control for continuous-time controller switched systems. An extended bumpless switching technique is proposed via linear quadratic (LQ) optimal control and internal model principle. Then a sufficient condition for guaranteeing the switched closed-loop systems to be stable under bumpless switching is developed. Dwell-time and m...

This paper investigates the mean stability of a class of discrete-time stochastic switched linear systems using the Lp-norm joint spectral radius of the probability distributions governing the switched systems. First we prove a converse Lyapunov theorem that shows the equivalence between the mean stability and the existence of a homogeneous Lyapunov function. Then we show that, when p goes to ∞...

This paper deals with the stability analysis of a class of switched bond graphs where all the storage components remain unchanged and in integral causality under mode switching. These properties assure the existence of a unique energy function common to all the switching modes, and the non occurrence of state jumps or discontinuities in the switched system trajectories. A result on stability of...

In this article, we study the finite-time stability (FTS) and finite time stabilization problems for a class of switched impulsive systems evolving on an arbitrary domain. This problem is formulated using scale theory where domain can be continuous, discrete, union disjoint intervals with variable gaps lengths or any combination these. Using common Lyapunov-quadratic Lyapunov-like functions, es...

A robust hybrid control strategy, that coordinates feedback and switching, is proposed for a broad class of hybrid nonlinear processes with constrained inputs and uncertain dynamics. The proposed strategy involves the coordinated synthesis, via multiple Lyapunov functions, of a family of bounded robust nonlinear feedback controllers that stabilize the constituent modes of the hybrid system, tog...

In this paper, the design of switching rule for exponential stability of a class of uncertain switched systems with delays is studied. The systems to be considered are linear and the state delays are time-varying. Based on Lyapunov functional and average dwell time approach, condition on the derivative of time-delay functions are not need to design switching rule for the exponential stability o...

Abstract—This paper investigates the problem of H∞ filtering for discrete-time switched linear systems under arbitrary switching laws. New LMI-based conditions for the solvability of the problem are given via switched quadratic Lyapunov functions. By Finsler’s Lemma, two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guarantee...

In this paper, the co-design of continuous-variable controllers and discrete-event switching logics, both in state feedback form, for discrete-time switched linear control systems is investigated. Sufficient synthesis conditions for this co-design problem are proposed here in the form of bilinear matrix inequalities, which is based on the argument of multiple Lyapunov functions. The closed-loop...

In this paper, the disturbance attenuation properties in the sense of uniformly ultimate boundedness are investigated for a class of switched linear systems with parametric uncertainties and exterior disturbances. The aim is to characterize the conditions under which the switched system can achieve a finite disturbance attenuation level. First, arbitrary switching signals are considered, and a ...