The Optimal Switched Law Methods Analysis and Research on Switched Linear Systems

The stable linear switched systems will converge to the balance Point. If different switched laws be chosen, the convergence Process will not be the same, so there is an optimal switched law. The issues of optimal switched law based on norm, convergence radius, convergence distance and convergence direction are respectively studied, and the optimal switched law is confirmed by solution of matrix equation. All kinds of instance have been considered synthetically, the synthetic optimal switched law is given, by which an optimal status of system in convergence process is reflected roundly. By calculate and simulation of practice examples and the using process of stability criterion is realized distinctly.