科研之友
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摘要
In this article we propose novel linear matrix inequality (LMI) conditions for the stability and l(2) gain performance analysis of discrete-time linear periodically time-varying (LPTV) systems These LMIs are convex with respect to all of the coefficient matrices of the LPTV systems and this property is promising when we deal with several control system analysts and synthesis problems For example we can apply those LMIs straightforwardly to robust performance analysis problems of LPTV systems that are affected by polytopic-type uncertainties Even though our approach for robust performance analysis is conservative in general we can reduce the conservatism gradually by artificially regarding the original N-periodic system as pN periodic and increasing p In addition thanks to the simple structure of the LMI conditions we can readily derive a viable test to verify the exactness of the computation results
- 出版日期2010-10
