Novel delay-partitioning stabilization approach for networked control system via Wirtinger-based inequalities |
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Affiliation: | 1. School of Automation, China University of Geosciences, Wuhan, 430074, P R China;2. Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, P R China;1. School of Electrical Engineering and Automation, Xuzhou Normal University, Xuzhou 221116, PR China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;3. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, PR China;4. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;1. School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea;2. Center for Global Converging Humanities, Kyung Hee University, Yongin 17104, Republic of Korea;3. School of Electronics Engineering, Kyungpook National University, Daegu 41566, Republic of Korea |
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Abstract: | This paper studies the problems of stability analysis and state feedback stabilization for networked control system. By developing a novel delay-partitioning approach, the information on both the range of network-induced delay and the maximum number of consecutive data packet dropouts can be taken into full consideration. Various augmented Lyapunov–Krasovskii functionals (LKFs) with triple-integral terms are constructed for the two delay subintervals. Moreover, the Wirtinger-based inequalities in combination with an improved reciprocal convexity are utilized to estimate the derivatives of LKFs more accurately. The proposed approaches have improved the stability conditions without increasing much computational complexity. Based on the obtained stability criterion, a stabilization controller design approach is also given. Finally, four numerical examples are presented to illustrate the effectiveness and outperformance of the proposed approaches. |
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Keywords: | Networked control system Delay-partitioning approach Triple-integral terms Wirtinger-based inequalities |
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