Perturbation Observer-Based Robust Control Using a Multiple Sliding Surfaces for Nonlinear Systems with Influences of Matched and Unmatched Uncertainties

Ha Le Nhu Ngoc Thanh, Mai The Vu, Nguyen Xuan Mung, Ngoc Phi Nguyen and Nguyen Thanh Phuong
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Ha Le Nhu Ngoc Thanh: School of Intelligent Mechatronics Engineering, Sejong University, Seoul 143-747(05006), Korea
Mai The Vu: School of Intelligent Mechatronics Engineering, Sejong University, Seoul 143-747(05006), Korea
Nguyen Xuan Mung: Faculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 143-747(05006), Korea
Ngoc Phi Nguyen: Faculty of Mechanical and Aerospace Engineering, Sejong University, Seoul 143-747(05006), Korea
Nguyen Thanh Phuong: HUTECH Institute of Engineering, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City 700000, Vietnam

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: This paper presents a lumped perturbation observer-based robust control method using an extended multiple sliding surface for a system with matched and unmatched uncertainties. The fundamental methodology is to apply the multiple surfaces to approximate the unknown lumped perturbations simultaneously influencing on a nonlinear single input–single output (SISO) system. Subsequently, a robust controller, based on the proposed multi-surface and the approximated values, is designed to highly improve the control performance of the system. A general stability of the lumped perturbation observer and closed-loop control system is obtained through the Lyapunov theory. Results of a numerical simulation of an illustrative example demonstrate the soundness of the proposed algorithm.

Keywords: sliding mode control; lumped perturbation observer; multiple surfaces; robust control; unmatched system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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