Adaptive control based on Barrier Lyapunov function for a class of full-state constrained stochastic nonlinear systems with dead-zone and unmodeled dynamics

Shen, Fei; Xin-jun, Wang; Yin, Xinghui

doi:10.1177/0142331220985637

Cited by 6 publications

(8 citation statements)

References 45 publications

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“…[34] to handle nonconstrained systems. In summary, the nonlinear coordinate transformation function (15) can not only cope with the systems with and without state constraints under the unchanged controller but also successfully circumvent the continuous requirement of the virtual controllers based on the piecewise asymmetric BLF-based methods [31,32,51]. Therefore, the coordinate transforming method (15) proposed in this paper is more appropriate to devise the desired backstepping controller combing with the finite-time stabilization techniques.…”

Section: Nonlinear Error-dependent Conversion Functionmentioning

confidence: 95%

“…Concerning investigating the constrained PMSM control systems, plenty of valuable technologies have been employed to handle them. Barrier Lyapunov functions are frequently considered an elite method to narrow down the monitoring errors into a predefined set of origins [31,32]. Two types of asymmetric and symmetric barrier Lyapunov functions are utilized to finite time confine the trace error to a narrow region of the initial point [31].…”

Section: Introductionmentioning

confidence: 99%

“…Barrier Lyapunov functions are frequently considered an elite method to narrow down the monitoring errors into a predefined set of origins [31,32]. Two types of asymmetric and symmetric barrier Lyapunov functions are utilized to finite time confine the trace error to a narrow region of the initial point [31]. An integral-interval barrier Lyapunov function is proposed to deal with the output-restrained-based feasibility conditions [32].…”

Section: Introductionmentioning

confidence: 99%

“…It directly addresses arbitrary asymmetric constraints and can be extended to constrained and unconstrained scenarios without changing the controller. It also relaxes the continuous requirement of the virtual controller inherent within the standard BLF-based solutions [31,32]. 2.…”

Section: Introductionmentioning

confidence: 99%

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Disturbance‐observer‐based adaptive finite‐time dynamic surface control for PMSM with time‐varying asymmetric output constraint

Zhang

et al. 2023

Asian Journal of Control

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This article presents a disturbance‐observer‐based adaptive finite‐time dynamic surface control scheme, capable of guaranteeing transient behavior for the PMSM with arbitrary asymmetric time‐varying output constraint and unmatched external disturbance. The major challenge of this paper is devising efficient strategies to tackle the nonsymmetric output restraints with arbitrary characteristics and unmatched external perturbation for the system under the finite‐time backstepping framework. Given this, a nonlinear transformation function is adopted to coordinate from the output‐constrained dynamic model to an uncontained one, and a finite‐time disturbance observer is introduced to evaluate the unmatched external perturbation. Then, a dynamic surface control approach having adaptive properties for PMSM is conceived by combing a neural network to evaluate the nonlinear functions and a first‐order filter to handle the “explosion of complexity.” Additionally, it is proved that the signals in the closed‐loop system can narrow down to a bounded region and the tracking error can merge in a limited time to tiny vicinity of zero by employing a fast finite‐time stability principle. Eventually, simulation cases and contrast results reveal the tracking performance and immunity to the disturbance of the devised controller.

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Section: Nonlinear Error-dependent Conversion Functionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Disturbance‐observer‐based adaptive finite‐time dynamic surface control for PMSM with time‐varying asymmetric output constraint

Zhang

et al. 2023

Asian Journal of Control

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“…Due to the physical constraints of actuators and components aging, the dead-zone input inevitably exists in many actual systems, and it has negative effects on system performance (Shen et al, 2021; Wan et al, 2022). Therefore, scholars were committed to dealing with the influence of dead-zone input on control systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive output feedback asymptotic tracking for uncertain nonlinear systems with dead-zone input

Duan

Wei

Zhang

et al. 2023

Transactions of the Institute of Measurement and Control

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In this paper, the adaptive output feedback asymptotic tracking problem is investigated for nonlinear systems with dead-zone input and unknown nonlinearities, where only system output is available. First, an observer is constructed to estimate unavailable states. Then, by the observer and barrier Lyapunov function, an adaptive output feedback controller is designed, which compensates the influence of dead-zone input and unknown nonlinearities. Furthermore, based on the proposed controller and tuning function, the global boundedness of all signals in closed-loop system is achieved, and the tracking error can asymptotically converge to zero. Particularly, it should be noted that there is no need to calculate the derivatives of virtual control laws in controller design, thus reducing the computational complexity. Finally, two numerical examples are taken to verify the effectiveness of the designed controller.

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Adaptive fixed‐time fault‐tolerant fuzzy control of AUVs with asymmetric output constraints

Li,

Qin,

Guo

et al. 2024

IET Intelligent Trans Sys

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The fast and safe formation tracking problem for multiple autonomous underwater vehicle (AUV) systems (MAUVS) with asymmetric output constraints and actuator faults is studied in this article. Actuator faults are composed of loss of effectiveness and time‐varying unknown bias faults, an adaptive fixed‐time fault‐tolerant controller (AFFTC) is designed by employing fixed‐time stable theory and fuzzy logic systems. Under the designed control algorithm, the MAUVS can be practically fixed‐time stable, the tracking errors among the follower AUVs and the virtual leader AUV can converge to a small area near the origin within the fixed time, and the settling time is unaffected by the initial state of the system. To enhance the safety of MAUVS, a novel asymmetric barrier function is utilized to constrain the trajectory tracking errors within the prescribed range. Finally, the simulation results demonstrate the effectiveness of the proposed control algorithm.

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Adaptive control based on Barrier Lyapunov function for a class of full-state constrained stochastic nonlinear systems with dead-zone and unmodeled dynamics

Cited by 6 publications

References 45 publications

Disturbance‐observer‐based adaptive finite‐time dynamic surface control for PMSM with time‐varying asymmetric output constraint

Disturbance‐observer‐based adaptive finite‐time dynamic surface control for PMSM with time‐varying asymmetric output constraint

Adaptive output feedback asymptotic tracking for uncertain nonlinear systems with dead-zone input

Adaptive fixed‐time fault‐tolerant fuzzy control of AUVs with asymmetric output constraints

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