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- Title
Perturbation Observer-Based Robust Control Using a Multiple Sliding Surfaces for Nonlinear Systems with Influences of Matched and Unmatched Uncertainties.
- Authors
Thanh, Ha Le Nhu Ngoc; Vu, Mai The; Mung, Nguyen Xuan; Nguyen, Ngoc Phi; Phuong, Nguyen Thanh
- 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.
- Subjects
NONLINEAR systems; CLOSED loop systems; SLIDING mode control; UNCERTAINTY; ALGORITHMS; ROBUST control
- Publication
Mathematics (2227-7390), 2020, Vol 8, Issue 8, p1371
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math8081371