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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,...
This paper focuses on the problem of robust H∞ control for a class of non-minimum-phase switched nonlinear systems in lower triangular form under arbitrary switchings. The backstepping design technique is applied to construct a common Lyapunov function (CLF) and an H∞ feedback controller which guarantee that the closed-loop system is stability and the L2-gain from the disturbance input to the controlled...
This paper presents a MATLAB toolbox that computes stabilizing state feedback controllers for a class of switched systems where the system dynamics switch interchangeably between several subsystems. The subsystems considered here are restricted to second order linear systems. The toolbox finds controllers that stabilize the system under arbitrary switching, where this is ensured by first determining...
An approach to the modeling and regulation problem of a buck converter which relies on its hybrid nature is presented. The buck converter is modeled as a switched affine system. Then, using the stored energy in the inductor and the capacitor as the common Lyapunov function, switching rules and activation region of all the subsystems are defined to assess quadratic stability of the converter. Simulation...
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