where { fα(.) : α ∈ Ω}, is a family of functions that is parameterized by some index set Ω, and α(·) ∈ Ω depending on the system state in each time is a switching rule/signal. The set Ω is typically a finite set. Switched systems arise in many practical models in manufacturing, communication networks, automotive engine control, chemical processes, and so on; see for example (D. Liberzon, 2003; ...

1 Abstract—Utilizing model reference adaptive control approach and multiple Lyapunov functions method, we propose a switched adaptive controller for uncertain switched linear systems in control canonical form. These systems exist naturally in many practical applications, such as variable capacity hydraulic pump involving discrete changes that are specified by the valve position. We show that th...

In this paper, we consider quadratic stabilizability via state feedback for both continuous-time and discrete-time switched linear systems that are composed of polytopic uncertain subsystems. By state feedback, we mean that the switchings among subsystems are dependent on system states. For continuous-time switched linear systems, we show that if there exists a common positive definite matrix f...

* 0-7803-7952-7/03/$17.00  2003 IEEE. Abstract Uniform ultimate boundedness of a new class of switched linear systems is considered. A switched linear system in this class consists of m subsystems, and none of the individual subsystems need to be stabilizable. The switched linear system is shown to be uniformly ultimately bounded for any pre-given bound if the combination of controllable compo...

In this paper two disturbance decoupling problems without stability and with quadratic stability via dynamic output feedback for switched linear systems are investigated. Firstly, simultaneous (C,A,B)-pair which incorporates both the concept of simultaneous (A,B)-invariant subspace and its dual simultaneous (C,A)-invariant subspace for a family of linear systems are investigated. Secondly, dist...

This paper addresses the computation of the L2induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential inequalities on a finitely parametrized common storage function, one for each system being switched. The motivation for computing the induced gain of a switched system is the applicati...

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...

In this paper, sufficient conditions are proposed to investigate the robust stability of arbitrary switched linear systems with uncertain parameters belongs to the known intervals. In addition, a method is then established to determine the maximum intervals of parameters' variations which guarantee robust exponential stability of uncertain switched linear systems under arbitrary switching. In t...

This paper investigates the problem of uniformly asymptotical stability (UAS) and stabilisation of planar switched linear systems using LaSalle’s invariance principle of switched systems. First, we show that a common weak quadratic Lyapunov function (WQLF) is enough to assure the UAS of a switched linear system with stable modes. Then the necessary and sufficient conditions for the existence of...

In this paper, switched linear discrete-time systems are considered. We propose a method to design an observer-based switched control which guarantees that the switched system is asymptotically stable. The contribution of this paper is twofold. We propose a method to design a switched control which allows to place the poles of each subsystem in desired locations and which guarantee that the swi...