Adaptive Sliding Mode Control of Multi-Input Nonlinear Systems With Perturbations to Achieve Asymptotical Stability

2009 ◽  
Vol 54 (12) ◽  
pp. 2863-2869 ◽  
Author(s):  
Yaote Chang
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Asymptotical Stability ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control

Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

2019 ◽  
Vol 26 (7-8) ◽  
pp. 399-412
Author(s):  
Wajdi Saad ◽  
Anis Sellami ◽  
Germain Garcia
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Linear Matrix ◽  
Switching Function ◽  
Parameter Uncertainties ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Lipschitz Nonlinear Systems

In this paper, the problem of adaptive sliding mode control for varied one-sided Lipschitz nonlinear systems with uncertainties is investigated. In contrast to existing sliding mode control design methods, the considered models, in the current study, are affected by nonlinear control inputs, one-sided Lipschitz nonlinearities, unknown disturbances and parameter uncertainties. At first, to design the sliding surface, a specific switching function is defined. The corresponding nonlinear equivalent control is extracted and the resulting sliding mode dynamic is given. Novel synthesis conditions of asymptotic stability are derived in terms of linear matrix inequalities. Thereafter, to ensure the reachability of system states and the occurrence of the sliding mode, the sliding mode controller is designed. Any knowledge of the upper bound on the perturbation is not required and an adaptation law is proposed. At last, two illustrative examples are introduced.

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