TY - JOUR
A2 - Tsourdos, Antonios
AU - Wang, Yanyan
AU - Liu, Wei
PY - 2015
DA - 2015/09/02
TI - Integral Sliding Mode Control of Lurâ€™e Singularly Perturbed Systems
SP - 926762
VL - 2015
AB - 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.
SN - 1024-123X
UR - https://doi.org/10.1155/2015/926762
DO - 10.1155/2015/926762
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -