Fast Switching Analysis of Linear Switched Systems Using Exponential Splitting

نویسندگان

  • Maurizio Porfiri
  • D. Gray Roberson
  • Daniel J. Stilwell
چکیده

Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2008