Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input

Tianqi Yu; Lei Liu; Yan-Jun Liu; Tianqi Yu; Lei Liu; Yan-Jun Liu

doi:10.3934/mbe.2023123

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 2: 2628-2650. doi: 10.3934/mbe.2023123

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Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input

College of Science, Liaoning University of Technology, Jinzhou 121001, China

Academic Editor: Xiaodi Li

Received: 18 October 2022 Revised: 12 November 2022 Accepted: 16 November 2022 Published: 25 November 2022

This paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more general in practical systems. Furthermore, a fuzzy approximator based adaptive backstepping algorithm is designed and an adaptive state observer with time-varying functional constraints (TFC) is constructed to estimate the unmeasurable states of the control system. Relying on the relevant knowledge of dead zone slopes, the issue of non-smooth dead-zone input is successfully solved. The time-varying integral barrier Lyapunov functions (iBLFs) are employed to guarantee that the states of the system remain within the constraint interval. By Lyapunov stability theory, the adopted control approach can ensure the stability of the system. Finally, the feasibility of the considered method is conformed via a simulation experiment.
- fuzzy state observer,
- time-varying functional constraints (TFC),
- dead-zone input,
- adaptive fuzzy control,
- backstepping algorithm
Citation: Tianqi Yu, Lei Liu, Yan-Jun Liu. Observer-based adaptive fuzzy output feedback control for functional constraint systems with dead-zone input[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 2628-2650. doi: 10.3934/mbe.2023123

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Abstract

This paper develops an adaptive output feedback control for a class of functional constraint systems with unmeasurable states and unknown dead zone input. The constraint is a series of functions closely linked to state variables and time, which is not achieved in current research results and is more general in practical systems. Furthermore, a fuzzy approximator based adaptive backstepping algorithm is designed and an adaptive state observer with time-varying functional constraints (TFC) is constructed to estimate the unmeasurable states of the control system. Relying on the relevant knowledge of dead zone slopes, the issue of non-smooth dead-zone input is successfully solved. The time-varying integral barrier Lyapunov functions (iBLFs) are employed to guarantee that the states of the system remain within the constraint interval. By Lyapunov stability theory, the adopted control approach can ensure the stability of the system. Finally, the feasibility of the considered method is conformed via a simulation experiment.

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