TITLE

# Integral Sliding Mode Control of Lurâ€™e Singularly Perturbed Systems

AUTHOR(S)
Wang, Yanyan; Liu, Wei
PUB. DATE
September 2015
SOURCE
Mathematical Problems in Engineering;9/2/2015, Vol. 2015, p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
This paper investigates the integral sliding mode control problem for Lurâ€™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.
ACCESSION #
109471103

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