Finite-time fuzzy output-feedback control for $ p $-norm stochastic nonlinear systems with output constraints

Liandi Fang; Li Ma; Shihong Ding; Liandi Fang; Li Ma; Shihong Ding

doi:10.3934/math.2021136

AIMS Mathematics

2021, Volume 6, Issue 3: 2244-2267. doi: 10.3934/math.2021136

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Research article

Finite-time fuzzy output-feedback control for $ p $-norm stochastic nonlinear systems with output constraints

1.
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, 212013, China
2.
College of Mathematics and Computer Science, Tongling University, Tongling, 244000, China

Received: 06 September 2020 Accepted: 19 November 2020 Published: 11 December 2020
MSC : 37F15, 34D09

This paper investigates the finite-time control problem of $ p $-norm stochastic nonlinear systems subject to output constraint. Combining a tan-type barrier Lyapunov function (BLF) with the adding a power integrator technique, a fuzzy state-feedback controller is constructed. Then, an output-feedback controller design scheme is developed by the constructed state-feedback controller and a reduce-order observer. Finally, both the rigorous analysis and the simulation results demonstrate that the designed output-feedback controller not only guarantees that the output constraint is not violated, but also ensures that the system is semi-global finite-time stable in probability (SGFSP).
- finite-time control,
- stochastic nonlinear systems,
- output constraint,
- output-feedback controller,
- barrier Lyapunov function
Citation: Liandi Fang, Li Ma, Shihong Ding. Finite-time fuzzy output-feedback control for $ p $-norm stochastic nonlinear systems with output constraints[J]. AIMS Mathematics, 2021, 6(3): 2244-2267. doi: 10.3934/math.2021136

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Abstract

This paper investigates the finite-time control problem of $ p $-norm stochastic nonlinear systems subject to output constraint. Combining a tan-type barrier Lyapunov function (BLF) with the adding a power integrator technique, a fuzzy state-feedback controller is constructed. Then, an output-feedback controller design scheme is developed by the constructed state-feedback controller and a reduce-order observer. Finally, both the rigorous analysis and the simulation results demonstrate that the designed output-feedback controller not only guarantees that the output constraint is not violated, but also ensures that the system is semi-global finite-time stable in probability (SGFSP).

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