Reduction of matched and unmatched uncertainties for a class of nonlinear perturbed systems via robust control

2019 ◽  
Vol 29 (8) ◽  
pp. 2510-2524 ◽  
Author(s):  
Patricio Ordaz ◽  
Mario Ordaz ◽  
Carlos Cuvas ◽  
Omar Santos
Keyword(s):  
Robust Control ◽  
Perturbed Systems ◽  
Unmatched Uncertainties ◽  
Matched And Unmatched Uncertainties

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

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1371 ◽  
Author(s):  
Ha Le Nhu Ngoc Thanh ◽  
Mai The Vu ◽  
Nguyen Xuan Mung ◽  
Ngoc Phi Nguyen ◽  
Nguyen Thanh Phuong
Keyword(s):  
Robust Control ◽  
Control Method ◽  
Lyapunov Theory ◽  
Loop Control ◽  
Single Input Single Output ◽  
Single Output ◽  
Closed Loop Control System ◽  
Loop Control System ◽  
Unmatched Uncertainties ◽  
Matched And Unmatched Uncertainties

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.

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