Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach
Amin Taghieh,
Ardashir Mohammadzadeh,
Jafar Tavoosi,
Saleh Mobayen,
Thaned Rojsiraphisal,
Jihad H. Asad,
Anton Zhilenkov
Affiliations
Amin Taghieh
Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 5166616471, Iran
Ardashir Mohammadzadeh
Electrical Engineering Department, University of Bonab, Bonab 5551395133, Iran
Jafar Tavoosi
Department of Electrical Engineering, Ilam University, Ilam 69315516, Iran
Saleh Mobayen
Future Technology Research Center, National Yunlin University of Science and Technology, Douliu 64002, Taiwan
Thaned Rojsiraphisal
Advanced Research Center for Computational Simulation, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Jihad H. Asad
Department of Physics, Faculty of Applied Sciences, Palestine Technical University, Tulkarm P.O. Box 7, Palestine
Anton Zhilenkov
Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia
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 H∞ performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.
