Second-Order Sliding Mode Control Design Subject to an Asymmetric Output Constraint

In this brief, a novel second-order sliding mode (SOSM) control method is developed to solve the asymmetric output constraint problem by using a power integrator and barrier Lyapunov function (BLF). The new BLF is first constructed based on the asymmetric constraint condition. A novel SOSM algorithm...

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Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 68; no. 4; pp. 1278 - 1282
Main Authors Liu, Lu, Ding, Shihong, Yu, Xinghuo
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
adding a power integrator
Algorithms
Asymmetry
barrier Lyapunov function
Circuits and systems
Closed loop systems
Control design
Control methods
Escape systems
Feedback control
finite-time stability
Liapunov functions
Lyapunov methods
Nonlinear systems
output constraint
Pendulums
Second-order sliding mode
Sliding mode control
Stability analysis
Trajectory
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Abstract In this brief, a novel second-order sliding mode (SOSM) control method is developed to solve the asymmetric output constraint problem by using a power integrator and barrier Lyapunov function (BLF). The new BLF is first constructed based on the asymmetric constraint condition. A novel SOSM algorithm is then constructed for the nonlinear systems with an asymmetric output constraint. Under the proposed SOSM algorithm, the output of the resulting closed-loop system will never escape from the asymmetric constraint. Finally, a pendulum system is adopted to verify the validity of the theoretical results.
AbstractList In this brief, a novel second-order sliding mode (SOSM) control method is developed to solve the asymmetric output constraint problem by using a power integrator and barrier Lyapunov function (BLF). The new BLF is first constructed based on the asymmetric constraint condition. A novel SOSM algorithm is then constructed for the nonlinear systems with an asymmetric output constraint. Under the proposed SOSM algorithm, the output of the resulting closed-loop system will never escape from the asymmetric constraint. Finally, a pendulum system is adopted to verify the validity of the theoretical results.
Author Ding, Shihong
Liu, Lu
Yu, Xinghuo
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SubjectTerms adding a power integrator
Algorithms
Asymmetry
barrier Lyapunov function
Circuits and systems
Closed loop systems
Control design
Control methods
Escape systems
Feedback control
finite-time stability
Liapunov functions
Lyapunov methods
Nonlinear systems
output constraint
Pendulums
Second-order sliding mode
Sliding mode control
Stability analysis
Trajectory
Title Second-Order Sliding Mode Control Design Subject to an Asymmetric Output Constraint
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Volume 68
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