International Journal of Control, Automation and Systems 2016; 14(6): 1464-1474
Published online October 25, 2016
https://doi.org/10.1007/s12555-015-0141-9
© The International Journal of Control, Automation, and Systems
This paper proposes a robust sliding mode-H∞ control design methodology for a class of nonlinear systems with unmatched parametric uncertainty and external disturbance. The design procedure combines the high robustness of the sliding mode control (SMC) with the H∞ norm performance. First, based on linear matrix inequalities (LMI) technique and multiple Lyapunov functions approach, the sliding surface design problem is formulated as a H∞ state-feedback control for a reduced uncertain nonlinear system with polytopic representation. Then, a sliding mode controller that drives the system states to the sliding surface in finite time and maintains a sliding mode is constructed. Finally, a comparative study is done to prove the effectiveness of the results."
Keywords H∞ control, poly-quadratic Lyapunov function, sliding mode control, unmatched uncertainties.
International Journal of Control, Automation and Systems 2016; 14(6): 1464-1474
Published online December 1, 2016 https://doi.org/10.1007/s12555-015-0141-9
Copyright © The International Journal of Control, Automation, and Systems.
Wajdi Saad*, Anis Sellami, and Germain Garcia
TUNIS University
This paper proposes a robust sliding mode-H∞ control design methodology for a class of nonlinear systems with unmatched parametric uncertainty and external disturbance. The design procedure combines the high robustness of the sliding mode control (SMC) with the H∞ norm performance. First, based on linear matrix inequalities (LMI) technique and multiple Lyapunov functions approach, the sliding surface design problem is formulated as a H∞ state-feedback control for a reduced uncertain nonlinear system with polytopic representation. Then, a sliding mode controller that drives the system states to the sliding surface in finite time and maintains a sliding mode is constructed. Finally, a comparative study is done to prove the effectiveness of the results."
Keywords: H&infin, control, poly-quadratic Lyapunov function, sliding mode control, unmatched uncertainties.
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