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Sampling and control of switched linear systems. (English) Zbl 1064.94566
Summary: We address the sampling and control issues for switched linear systems. Under synchronous switching and piecewise constant control, a continuous-time switched system is naturally related to a discrete-time sampled-data system. We prove that, with almost any sampling rate, the controllable subspace will be preserved for a switched linear system. We also investigate the possibility of achieving controllability using regular switching mechanisms. We show that, to achieve controllability for a switched linear system, it is sufficient to use cyclic and synchronous switching paths and constant control laws.
MSC:
94C10Switching theory, application of Boolean algebra; Boolean functions
93C05Linear control systems