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  5. Extended Dissipative Sliding-Mode Control for Discrete-Time Piecewise Nonhomogeneous Markov Jump Nonlinear Systems

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Article
English
2021

Extended Dissipative Sliding-Mode Control for Discrete-Time Piecewise Nonhomogeneous Markov Jump Nonlinear Systems

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English
2021
IEEE Transactions on Cybernetics
Vol 52 (9)
DOI: 10.1109/tcyb.2021.3052647

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Guanrong Chen
Guanrong Chen

City University Of Hong Kong

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Shanling Dong
Kan Xie
Guanrong Chen
+2 more

Abstract

This article analyzes the problem of the sliding-mode control (SMC) design for discrete-time piecewise nonhomogeneous Markov jump nonlinear systems (MJNSs) subject to an external disturbance with time-varying transition probabilities (TPs). A discrete-time asynchronous integral sliding surface is constructed, which yields matched-nonlinearity-free sliding-mode dynamics (SMDs). Then, by using the mode-dependent Lyapunov function technique, a sufficient condition is established for ensuring the stochastic stability of SMD with extended dissipation. The solution to designing controller gains is obtained. Moreover, an SMC law and an adaptive law are, respectively, derived for driving the system trajectories to move into a predetermined sliding-mode region with specified precision. Finally, the feasibility and effectiveness of the new design are verified and demonstrated by a simulation example.

How to cite this publication

Shanling Dong, Kan Xie, Guanrong Chen, Meiqin Liu, Zheng‐Guang Wu (2021). Extended Dissipative Sliding-Mode Control for Discrete-Time Piecewise Nonhomogeneous Markov Jump Nonlinear Systems. IEEE Transactions on Cybernetics, 52(9), pp. 9219-9229, DOI: 10.1109/tcyb.2021.3052647.

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Publication Details

Type

Article

Year

2021

Authors

5

Datasets

0

Total Files

0

Language

English

Journal

IEEE Transactions on Cybernetics

DOI

10.1109/tcyb.2021.3052647

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