State Feedback $$L_1$$-Gain Control of Positive 2-D Continuous Switched Delayed Systems Via State-Dependent Switching |
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| Authors: | Imran Ghous Shipei Huang Zhengrong Xiang |
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| Affiliation: | 1.School of Automation,Nanjing University of Science and Technology,Nanjing,People’s Republic of China;2.Department of Electrical Engineering,COMSATS Institute of Information Technology,Lahore,Pakistan |
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| Abstract: | This paper investigates the stability and \(L_1\)-gain control of two-dimensional (2-D) continuous positive switched delayed systems. Firstly, by constructing an appropriate co-positive Lyapunov–Krasovskii functional, a sufficient condition for asymptotical stability of the system under consideration is derived. Secondly, \(L_1\)-gain performance analysis of the underlying system is investigated. Thirdly, a design methodology for state feedback controller is proposed to ensure that the closed-loop system is asymptotically stable with \(L_1\)-gain performance. Finally, an example is provided to show the effectiveness of the proposed method. |
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