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In this paper, the repetitive control is considered for a class of linear discrete-time switched systems with arbitrary switching signals. The periodicity of the repetitive control system is exploited to establish a discrete 2D (two-dimensional) model that to describe the control and learning actions of the system. Then, by choosing an appropriate multiple Lyapunov function, LMI (linear-matrix-inequality)...
A method for order reduction of switched controllers is presented in this paper. The proposed technique is based on the generalized gramian framework for model reduction. To the best of our knowledge, there is no other reported result on switched controller reduction in the literature. The method is an LMI-based technique in which to avoid numerical instability and also to increase the numerical efficiency,...
In this article, stability of continuous-time switched linear systems in the singular perturbation form is investigated. We show that the stability of slow and fast switched subsystems is not a sufficient condition for stability of the corresponding two-time scale switched system, under an arbitrary switching law. Thus, LMI conditions to design a state-feedback control law stabilizing continuous-time...
In this paper, we study H-infinity performance for the switched systems with continuous-time and discrete-time subsystems. By using common quadratic Lyapunov function technology and LMI approach, the sufficient condition is given in form of LMI for the problem that such switched systems are stabilization with H?? disturbance attenuation level ?? via arbitrary switching. Finally, a numerical example...
This paper considers the stability and L2-gain for a class of switched neutral systems. Sufficient conditions for exponential stability criteria and L2-gain are developed for arbitrary switching signal with average dwell time.
This paper studies the problem of stability analysis and stabilization of switched discrete-time linear systems subject to actuator saturations. Switched saturation-dependent Lyapunov functions are exploited to derive new stability conditions. Furthermore, based on the new stability criterion, new methods for designing stabilizing state feedback controllers and the estimation of domain of attraction...
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