Finite-time \(\varvec{H_{\infty }}\) control for linear systems with semi-Markovian switching

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• 作者：Xinghua Liu ; Xinghuo Yu ; Xiaojun Zhou ; Hongsheng Xi
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：85
• 期：4
• 页码：2297-2308
• 全文大小：645 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：85

文摘

Finite-time \(H_{\infty }\) control problem is a fascinating and hot issue in the field of control science. This paper presents a novel framework for finite-time \(H_{\infty }\) stabilization of semi-Markovian switching system. By employing Lyapunov–Krasovskii functional and matrix inequality techniques, together with properties of semi-Markovian process, sufficient conditions are proposed to guarantee finite-time boundedness, \(H_{\infty }\) finite-time boundedness and finite-time \(H_{\infty }\) state feedback stabilization for semi-Markovian switching system. At the same time, a state feedback controller is provided to ensure that the proposed closed-loop system is finite-time \(H_{\infty }\) stabilization. Finally, a numerical example and simulations are given to show the correctness and effectiveness of the proposed results.KeywordsSemi-Markovian switching systemFinite-time boundedFinite-time \(H_{\infty }\) stabilizationFeedback controller