This paper is devoted to output feedback H∞ control problem for continuous-time switched linear systems subject to actuator saturation. Using minimal switching rule, nonlinear output feedbacks, expressed in the form of quasi-linear parameter varying system are designed to satisfy a pre-specified disturbance attenuation level defined by the regional L2 gains over a class of energy-bounded distur...

This paper addresses the stabilization issues for a class of uncertain switched neutral systems with nonlinear perturbations. Based on new classes of piecewise Lyapunov functionals, the stability assumption on all the main operators or the convex combination of coefficient matrices is avoid, and a new switching rule is introduced to stabilize the neutral systems. The switching rule is designed ...

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...

This contribution considers the guaranteed cost control for a class of linear uncertain time-delay switched singular systems under arbitrary switching laws with a given quadratic performance index. Based on a Lyapunov function approach and a linear matrix inequality (LMI) technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which ensures t...

Sampled switched linear systems are governed by piecewise linear dynamics that are periodically sampled with a given period τ . At each sampling time, the “mode” of the system, i.e., the parameters of the linear dynamics, are switched according to a control rule. We give here a procedure for showing that a given area R of the state space has a “krecurrent decomposition”: such a decomposition in...

It is well known that the bilinear transform, or first order diagonal Padé approximation to the matrix exponential, preserves quadratic Lyapunov functions between continuous-time and corresponding discrete-time linear time invariant (LTI) systems, regardless of the sampling time. The analagous result also holds for switched linear systems. In this note we show that, for any sampling time, diago...

In this paper, we consider protection schemes for linear timeinvariant (LTI) controllers in switched systems. These controllers are often digital in nature and, as such, are subject to internal hardware malfunctions (faults). A discrete-time (DT) LTI system is usually protected against faults by embedding the state-space of the original system into the state-space of a higher dimensional redund...

A switched linear system is defined by a parameterized family of realizations {(Ap, Bp, Cp, Dp) : p ∈ P}, together with a family of piecewise constant switching signals S := {σ : [0,∞) → P}. Here, we consider switched systems for which all the matrices Ap, p ∈ P are Hurwitz. The corresponding switched system is represented by ẋ = Aσx+Bσu, y = Cσx+Dσu, σ ∈ S (28.1) and by a solution to (28.1), w...

This paper is concerned with the problem of robust l2–l∞ filter design for a class of uncertain switched time-delay systems based on a switched Lyapunov functional. The parametric uncertainties are assumed to be time varying but norm bounded. The purpose is to design a switched filter such that, for all admissible uncertainties, the resulting filtering error system is robustly stable and satisf...

We consider the control design for a class of single-input single-output (SISO) switched linear systems of arbitrary order. Our approach is motivated by applications in which the major design objective is to achieve similar behaviour of the closed-loop system in each system mode ensuring stability for arbitrary switching. We study the stability of the resulting closed-loop system and exploit th...