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

被引：44
作者：
Dong, Shanling [1 ]
Xie, Kan [2 ,3 ]
Chen, Guanrong [4 ]
Liu, Meiqin [1 ]
Wu, Zheng-Guang [5 ]
机构：
[1] Zhejiang Univ, Coll Elect Engn, Hangzhou 310027, Peoples R China
[2] Guangdong Univ Technol, Minist Educ China, Joint Int Res Lab Intelligent Informat Proc & Sys, Guangzhou 510006, Peoples R China
[3] Guangdong HongKong Macao Joint Lab Smart Discrete, Guangzhou 510006, Peoples R China
[4] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
[5] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 09期
关键词：
Markov processes; Nonlinear systems; Trajectory; Brain modeling; Uncertain systems; Sliding mode control; Stability criteria; Discrete-time integral sliding surface; Markov jump nonlinear system; piecewise nonhomogeneous transition probability; sliding-mode control (SMC); DYNAMICAL-SYSTEMS; LINEAR-SYSTEMS; VARYING DELAYS; OUTPUT;
D O I：
10.1109/TCYB.2021.3052647
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：9219 / 9229
页数：11
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