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This paper is devoted to discuss the role of the minimum residence time in the stabilization of dynamic discrete switched systems. It is found that it can be obviated if the sampling period is sufficiently large even without imposing the requirement in the continuous-time case that the various switched parameterizations (referred to often as “ configurations”) possess a common Lyapunov function. However,...
The stabilization of switched nonlinear systems with pre-specified average dwell time is studied in this paper. An approach to controllers design using control Lyapunov function is proposed, the proposed switched controllers can stabilize the switched nonlinear systems with the pre-specified average dwell time. Furthermore, if there exists disturbances in switched systems, the proposed approach can...
In this paper, the problem of minimum dwell time for the stability and stabilization of switched linear systems is considered. First, using the method of multiple Lyapunov functions, we obtain an estimate for the minimum dwell time(MDT), which assures the exponential stability of switched linear systems. Using the stability result obtained for free system, we then investigate the problem of MDT for...
In this work, a predictive control framework is proposed for the constrained stabilization of switched nonlinear systems that transit between their constituent modes at prescribed switching times. The main idea is to, design a Lyapunov-based predictive controller for each constituent mode in which the switched system operates, and incorporate constraints in the predictive controller design to ensure...
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