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On Stability Analysis of Switched Systems and Its Applications

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Other Title
  • 切替システムの安定解析とその応用について
  • キリカエ システム ノ アンテイ カイセキ ト ソノ オウヨウ ニ ツイテ

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This paper is concerned with stability analysis of switched systems and its application for synthesis problems. For a class of switched systems, we propose a discontinuous Lyapunov-like function to derive a condition that guarantees exponential stability of switched systems. This condition is stated with LMIs for switched systems that have linear continuous dynamics and an output feedback switch-scheduled control design method is presented in terms of LMIs. These results are applied to control design of a class of nonholonomic systems in the time-state control form.


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