Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustne...

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Autores principales: Amin Taghieh, Ardashir Mohammadzadeh, Jafar Tavoosi, Saleh Mobayen, Thaned Rojsiraphisal, Jihad H. Asad, Anton Zhilenkov
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
LMI
Acceso en línea:https://doaj.org/article/32203cb3cda7486cb1b1fa340f450e6a
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Sumario:This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.