Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays

Hamid Ghadiri, Hamed Khodadadi, Saleh Mobayen, Jihad H. Asad, Thaned Rojsiraphisal and Arthur Chang
Additional contact information
Hamid Ghadiri: Faculty of Electrical, Biomedical and Mechatronics Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
Hamed Khodadadi: Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
Saleh Mobayen: Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan
Jihad H. Asad: Department of Physics, Faculty of Applied sciences, Palestine Technical University, P.O. Box 7, Tulkarm, Palestine
Thaned Rojsiraphisal: Advanced Research Center for Computational Simulation, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Arthur Chang: Bachelor Program in Interdisciplinary Studies, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan

Mathematics, 2021, vol. 9, issue 19, 1-20

Abstract: In this study, the challenges of the controller design of a class of Uncertain Switched Neutral Systems (USNSs) in the presence of discrete, neutral, and time-varying delays are considered by using a robust observer-based control technique. The cases where the uncertainties are normbounded and time-varying are emphasized in this research. The adopted control approach reduces the prescribed level of disturbance input on the controlled output in the closed-loop form and the robust exponential stability of the control system. The challenge of parametric uncertainty in USNSs is solved by designing a robust output observer-based control and applying the Yakubovich lemma. Since the separation principle does not generally hold in this research, the controller and observer cannot be designed separately, sufficient conditions are suggested. These conditions are composed of applying the average dwell time approach and piecewise Lyapunov function technique in terms of linear matrix inequalities, which guarantees robust exponential stability of the observer-based output controller. Finally, two examples are given to determine the effectiveness of the proposed method.

Keywords: neutral systems; switched system; uncertainty; dwell time; observer design; H ? control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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