Active disturbance rejection and Lyapunov redesign approaches for robust boundary control of plate vibration

Tavasoli, Ali; Enjilela, Vali

doi:10.1080/00207721.2017.1280553

Cited by 19 publications

(5 citation statements)

References 28 publications

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“…Tavasoli and Enjilela utilized Lyapunov redesign to stabilize the vibration of a boundarycontrolled flexible rectangular plate in the presence of exogenous disturbances [3]. Xu et al, applied output-feedback Lyapunov redesign to control a magnetic suspension system [4].…”

Section: Introductionmentioning

confidence: 99%

Design of Optimal Controllers for Unknown Dynamic Systems through the Nelder–Mead Simplex Method

Tsai

Fuh

et al. 2021

Mathematics

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This paper presents an efficient method for designing optimal controllers. First, we established a performance index according to the system characteristics. In order to ensure that this performance index is applicable even when the state/output of the system is not within the allowable range, we added a penalty function. When we use a certain controller, if the state/output of the system remains within the allowable range within the preset time interval, the penalty function value is zero. Conversely, if the system state/output is not within the allowable range before the preset termination time, the experiment/simulation is terminated immediately, and the penalty function value is proportional to the time difference between the preset termination time and the time at which the experiment was terminated. Then, we used the Nelder–Mead simplex method to search for the optimal controller parameters. The proposed method has the following advantages: (1) the dynamic equation of the system need not be known; (2) the method can be used regardless of the stability of the open-loop system; (3) this method can be used in nonlinear systems; (4) this method can be used in systems with measurement noise; and (5) the method can improve design efficiency.

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Section: Introductionmentioning

confidence: 99%

Design of Optimal Controllers for Unknown Dynamic Systems through the Nelder–Mead Simplex Method

Tsai

Fuh

et al. 2021

Mathematics

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“…In the past few years, many methods and theories have been proposed for distributed parameter system, including the boundary control method with which is constructed based on the original partial differential equations [9]- [11]. In [12], both the Lyapunov redesign and active disturbance rejection control approach were employed for boundary control of a flexible rectangular plate when existing exogenous disturbances. In [13], robust boundary control was proposed to stabilize the beam and reject the vibration.…”

Section: Introductionmentioning

confidence: 99%

Asymmetrical Barrier Function-Based Adaptive Vibration Control for Nonlinear Flexible Cantilever Beam With Obstacle Restriction

Lin

2021

IEEE Access

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In this paper, a novel adaptive asymmetrical barrier function-based vibration control law is proposed for the nonlinear flexible cantilever beam system with obstacle restriction, model uncertainties, and distributed disturbances. Firstly, by employing the Hamilton's principle and the Galerkin projection method, the dynamic of the nonlinear flexible cantilever beam with the piezoelectric actuator is constructed in partial differential equations and simplified to nonlinear ordinary differential equations for the control law design. Then, by introducing the fast nonsingular terminal sliding mode surface, a novel asymmetrical barrier function based sliding mode control law is proposed, in which by means of a novel asymmetrical barrier Lyapunov function is used to guarantee the finite time stability with the obstacle restriction. Further, to deal with the model uncertainties, an adaptive updating law is incorporated with the fast nonsingular terminal sliding mode control law based on asymmetrical barrier function, stability proof shows that the proposed control law can ensure the distributed disturbance rejection and the model uncertainties compensation simultaneously. Finally, the effectiveness of the proposed control laws is demonstrated by the numerical simulations.

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“…(2017)], [Madoński & Herman (2015)], [Polóni et coll. (2018)], [Tavasoli & Enjilela (2017)], [Vincent et coll. (2011)], [Wu & coll.…”

Section: Introductionmentioning

confidence: 99%

Deux améliorations concurrentes des PID

Fliess¹,

Join²

2018

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Aujourd'hui, « commande sans modèle », ou « MFC », et « commande par rejet actif de perturbations », ou « ADRC », sont les approches les plus en vue pour préserver les avantages des PID, si populaires dans l'industrie, tout en atténuant leurs carences. Après un bref rappel sur MFC et ADRC, plusieurs exemples démontrent la supériorité du sans-modèle car permettant d'embrasser une classe beaucoup plus vaste de systèmes. ABSTRACT. In today's literature Model-Free Control, or MFC, and Active Disturbance Rejection Control, or ADRC, are the most prominent approaches in order to keep the benefits of PID controllers, that are so popular in the industrial world, and in the same time for attenuating their severe shortcomings. After a brief review of MFC and ADRC, several examples show the superiority of MFC, which permits to tackle most easily a much wider class of systems. MOTS-CLÉS. PID, commande sans modèle, commande par rejet actif des perturbations, commande par platitude.

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Active disturbance rejection and Lyapunov redesign approaches for robust boundary control of plate vibration

Cited by 19 publications

References 28 publications

Design of Optimal Controllers for Unknown Dynamic Systems through the Nelder–Mead Simplex Method

Design of Optimal Controllers for Unknown Dynamic Systems through the Nelder–Mead Simplex Method

Asymmetrical Barrier Function-Based Adaptive Vibration Control for Nonlinear Flexible Cantilever Beam With Obstacle Restriction

Deux améliorations concurrentes des PID

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