H∞-Adaptive Variable Structure Control Based on Markov Jump Systems

doi:10.12068/j.issn.1005-3026.2021.02.002

Abstract

Abstract: The control problem for a class of nonlinear generalized delay Markov jump systems with generally uncertain transition rate is studied. First， a hybrid controller composed of a linear controller and an adaptive controller is designed for the unknown nonlinear parameters in the system， and a Lyapunov functional is constructed to make the trajectory of the system approach to the state space surface and the closed-loop system is admissible， satisfying H_∞criteria γ. Furthermore， considering the characteristics of the generally uncertain transition rates matrices， a strict linear matrix inequality is constructed to make the conclusion more general. Finally， the effectiveness and feasibility of this control method are verified by numerical examples and image simulation.

Key words: Markov jump system; singular system; adaptive variable structure control; H_∞performance

CLC Number:

YANG Dong-mei， LU Di. H_∞-Adaptive Variable Structure Control Based on Markov Jump Systems[J]. Journal of Northeastern University(Natural Science), 2021, 42(2): 160-165.

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H_∞-Adaptive Variable Structure Control Based on Markov Jump Systems

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