Linear output-feedback-based semi-global stabilization for switched nonlinear time-delay systems |
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| Authors: | Zhenhua Li Lijun Long Jun Zhao |
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| Institution: | 1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China;2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China |
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| Abstract: | This paper focuses on the problem of semi-global output-feedback stabilization for a class of switched nonlinear time-delay systems in strict-feedback form. A switched state observer is first constructed, then switched linear output-feedback controllers for individual subsystems are designed. By skillfully constructing multiple Lyapunov–Krasovskii functionals and successfully solving several troublesome obstacles, such as time-varying delay and switching signals and nonlinearity in the design procedure, the switched linear output-feedback controllers designed can render the resulting closed-loop switched system semi-globally stabilizable under a class of switching signals with average dwell time. Furthermore, under some milder conditions on nonlinearities, the semi-global output-feedback stabilization problem for switched nonlinear time-delay systems is also studied. Simulation studies on two examples, which include a continuous stirred tank reactor, are carried out to demonstrate the effectiveness of the proposed approach. |
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| Keywords: | Corresponding author at: State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang 110819 China |
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