Integral Sliding Mode Control for Singularly Perturbed Systems with Mismatched Disturbances

2018 ◽  
Vol 38 (4) ◽  
pp. 1561-1582 ◽  
Author(s):  
Chunyu Yang ◽  
Zhiyuan Che ◽  
Linna Zhou
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Perturbed Systems ◽  
Mismatched Disturbances

scholarly journals Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Yanyan Wang ◽  
Wei Liu
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Singularly Perturbed ◽  
Matrix Inequality ◽  
Singularly Perturbed Systems ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Perturbed Systems ◽  
Sliding Manifold

This paper investigates the integral sliding mode control problem for Lur’e singularly perturbed systems with sector-constrained nonlinearities. First, we design a proper sliding manifold such that the motion of closed-loop systems with a state feedback controller along the manifold is absolutely stable. To achieve this, we give a matrix inequality-based absolute stability criterion; thus the above problem can be converted into a matrix inequality feasibility problem. In addition, the gain matrix can also be derived by solving the matrix inequality. Then, a discontinuous control law is synthesized to force the system state to reach the sliding manifold and stay there for all subsequent time. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.

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