A New Second-Order Sliding Mode and Its Application to Nonlinear Constrained Systems

This note considers the second-order sliding-mode (SOSM) control of nonlinear constrained systems. A new state-saturated-like SOSM algorithm has been constructed by using the saturation technique and the backstepping-like method. The finite-time stability of the closed-loop SOSM dynamics has been ve...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 6; pp. 2545 - 2552
Main Authors Ding, Shihong, Mei, Keqi, Li, Shihua
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Control systems
Dynamic stability
Finite-time stability
Heuristic algorithms
Lyapunov analysis
Manifolds
Nonlinear control
Nonlinear dynamical systems
Nonlinear systems
Pendulums
second-order sliding mode (SOSM)
Sliding mode control
Stability analysis
state constraints
Uncertainty
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Summary:This note considers the second-order sliding-mode (SOSM) control of nonlinear constrained systems. A new state-saturated-like SOSM algorithm has been constructed by using the saturation technique and the backstepping-like method. The finite-time stability of the closed-loop SOSM dynamics has been verified by Lyapunov analysis. The advantage of the proposed SOSM algorithm lies in that it will provide the maximum domain of attraction under the preset state constraints. An example of a pendulum control system has been given to verify the effectiveness of the proposed method.
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content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2867163