Design and Simulation of Sliding Mode Controllers for Fractional-Order Singular Systems with Uncertainties

doi:10.12068/j.issn.1005-3026.2022.11.001

Abstract

Abstract: In this paper， sliding mode control is studied for a class of fractional-order singular systems with external disturbances， and an improved exponential reaching law is proposed to eliminate chattering in theory. The integral sliding surface is used to eliminate the approaching phase of sliding mode movement. Kronecker product and LMI method are used to design the gain matrix in order to stabilize the sliding mode equation in both cases: 0<α<1 and 1<α<2. In the design of sliding mode controller， the performance of exponential reaching law is improved， and the sign function is replaced by the designed continuous function， so that when the state approaches the sliding mode， the smooth transition can be achieved with the sliding mode. Finally， the simulation experiments of sliding mode control are established by Simulink to verify the effectiveness of the algorithm in both cases: 0<α<1and 1<α<2.

Key words: sliding mode control; exponential reaching law; fractional-order systems; singular systems; integral sliding surface; LMI

CLC Number:

TP13

LI Xi-xiao， YANG Dong-mei. Design and Simulation of Sliding Mode Controllers for Fractional-Order Singular Systems with Uncertainties[J]. Journal of Northeastern University(Natural Science), 2022, 43(11): 1521-1528.

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