Observer-based finite-time H∞ sliding mode control of stochastic nonlinear singular systems and its applications

被引：0
|
作者：
Liu, Huawei [1 ]
Zhao, Feng [1 ]
Chen, Xiangyong [1 ]
Hou, Huazhou [2 ]
Qiu, Jianlong [1 ]
机构：
[1] Linyi Univ, Sch Automat & Elect Engn, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China
[2] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Peoples R China
来源：
NONLINEAR DYNAMICS | 2022年 / 108卷 / 04期
关键词：
Finite-time bounded stability; Stochastic nonlinear singular systems; State observer; Sliding mode function; MARKOVIAN JUMP SYSTEMS; ORDER;
D O I：
10.1007/s11071-022-07411-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The finite-time bounded problem for stochastic nonlinear singular systems is discussed in this paper. Firstly, the state observer independent of external disturbances and Brownian motions is designed. Next, the sliding mode function is constructed, which can not only ensure that the system is the finite-time bounded stability, but also its H-infinity performance can be satisfied. The criteria for the finite-time bounded stability and H-infinity finite-time bounded stability of the given system are obtained by Lyapunov function and linear matrix inequalities. Combined with the designed controller, the finite-time stability of the sliding mode function is guaranteed. Finally, the practicability of the control scheme designed is verified by two examples.
引用
收藏
页码：3595 / 3604
页数：10
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