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This work is concerned with the design of an observer for Switched Linear Systems (SLS) subject to an unknown switching signal. The convergence of the proposed SLS observer is proved, based on observability results for SLS, for the following two cases. First, it is shown that if the discrete state of the SLS is observable, then the observer estimates the switching signal, even though the individual...
The problem of robust and guaranteed stabilization is addressed for switched affine systems using sampled state feedback controllers. Based on the existence of a control Lyapunov function for a relaxed system, we propose three sampled-data controls. Global attracting sets, computed by solving a sequence of optimization problems, guarantee practical and global asymptotic stabilization for the whole...
In this paper, an improved combined switching law is proposed for a class of continuous-time switched linear system with two subsystems. Under this switching law, the Lyapunov-like function is not necessarily to be decreasing in both time-driven and state-driven mechanisms. This remarkably reduces the switching frequency. Under suitable assumptions on the system dynamics, the switched system is exponentially...
A state feedback stabilizing switching law with dwell time is developed for switched discrete-time linear systems. Compared with the switching laws without time-driven switching laws, the proposed switching laws can reduce the switching frequency. In addition, it is also shown that the system state is bounded under the proposed switching laws if the considered system is perturbed by a bounded perturbation.
In this paper we present a strategy to design stabilizing switching sequence for switched system in which no subsystem is stable. By developing the conic switching law, a more general method is obtained to design the switching law. The conditions under which the switching law can make the system asymptotically stable are given. The presented method and results are illustrated by examples.
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