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

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 fi...

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Bibliographic Details
Published in:Nonlinear dynamics 2022-06, Vol.108 (4), p.3595-3604
Main Authors: Liu, Huawei, Zhao, Feng, Chen, Xiangyong, Hou, Huazhou, Qiu, Jianlong
Format: Article
Language:English
Subjects:
Automation
Automotive Engineering
Classical Mechanics
Control
Control systems design
Controllers
Design
Dynamical Systems
Engineering
H-infinity control
Laboratories
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Mechanical Engineering
Nonlinear control
Nonlinear systems
Original Paper
Sliding mode control
State observers
Vibration
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Summary: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 ∞ performance can be satisfied. The criteria for the finite-time bounded stability and H ∞ 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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-07411-9