Robust adaptive finite-time stabilization control for a class of nonlinear switched systems based on finite-time disturbance observer

Mirzaei, Mojtaba; Aslmostafa, Ehsan; Asadollahi, Mostafa; Badamchizadeh, Mohammad Ali

doi:10.1016/j.jfranklin.2021.02.010

Cited by 44 publications

(15 citation statements)

References 43 publications

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“…Besides the foregoing, it is vital to acknowledge that disturbances often prevail in real situations, which might lead to insufficient system performance and, in worst cases, could cause instability. To tackle this issue, various disturbance attenuation and rejection techniques has been developed by the researchers [31], [32], [33], [34], [35], [36]. In particular, the disturbance observer approach is one of the most often used disturbance rejection techniques for dealing with disturbances because of its ease of use, adaptability and effectiveness in doing so.…”

Section: Introductionmentioning

confidence: 99%

Disturbance Observer-Based Robust Control Design for Uncertain Periodic Piecewise Time-Varying Systems With Disturbances

Thilagamani¹,

Sakthivel

Annalakshmi

et al. 2023

IEEE Access

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With the aid of disturbance observer strategy, this article aims to investigate the disturbance rejection and stabilization problems for periodic piecewise time-varying systems that are subject to timevarying delays, parameter uncertainties, nonlinear perturbations and exogenous disturbances. To be more specific, the periodic piecewise time-varying systems are built by segmenting the fundamental period of periodic systems into a limited number of subintervals. Further, the disturbances engendered from an exogenous system are estimated by deploying the disturbance observer and subsequently, on the premise of disturbance that is esimated, a robust controller protocol is constructed for the considered system. Moreover, by bridging the time-varying periodic piecewise Lyapunov-Krasovskii functional with a matrix polynomial lemma, a set of adequate criteria is framed, which confirms the asymptotic stability of the system that is being addressed. Subsequently, on the premise of established criteria, the design of periodic piecewise gain matrices of devised controller and configured observer are presented. Eventually, the importance and potential of the presented theoretical concepts are evidenced through offering a numerical illustration with the simulation results.INDEX TERMS Periodic piecewise time-varying systems, disturbance observer, uncertainity, nonlinear perturbations, time-varying delay.

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Section: Introductionmentioning

confidence: 99%

Disturbance Observer-Based Robust Control Design for Uncertain Periodic Piecewise Time-Varying Systems With Disturbances

Thilagamani¹,

Sakthivel

Annalakshmi

et al. 2023

IEEE Access

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“…The advantages of the two control techniques were combined to yield a better dynamic performance. It is known that the system states will converge to the origin within a certain time when the stability of the system is guaranteed in terms of finite-time stability [38][39][40]. Asymptotic stability, in contrast to finite-time stability, indicates that the state of a system remains constant over an infinite value of setting times.…”

Section: Introductionmentioning

confidence: 99%

Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling

et al. 2022

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A capacitive micromachined ultrasonic transducer (CMUT) due to many benefits is being considered as an imaging and therapeutic technology recently. The critical challenge here is to stabilize the system beyond the pull-in voltage considering imposed perturbations. The CMUT system, on the other hand, has a low range of travel and it is intrinsically unstable, which can result in a pull-in phenomenon. Consequently, in order to use the CMUT systems in a variety of medical applications that require high tuning ratio, a closedloop control technique has been designed for these systems aims at increasing the maximum capacitance and enhancing tunability as well. In this study, using the closed-loop control, the resistance of micro plate against the pull-in phenomenon has been examined. Also, in the description of the system a more accurate nonlinear modeling has been considered in the presence of an under-actuated sliding model control strategy with finite convergence time. Beside, adaptive protocols with unknown upper bounds have been designed to compensate the effects of uncertainty, unmodeled dynamics and external disturbances. The performance of controller in terms of improving output pressure, stabilizing the CMUT and its robustness to imposed perturbations have been investigated. Finally, numerical simulations

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“…However, when the disturbance magnitude is very large, the process of disturbance rejection is relatively slow. Disturbance observer‐based finite‐time control, which uses an estimation of disturbance to compensate for its effects on the control, is presented in References 25‐29. However, the disturbance and/or its derivative are assumed to be bounded.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time disturbance rejection for nonlinear systems using an adaptive disturbance observer based on experience‐replay

Vahidi-Moghaddam

Modares

et al. 2022

Adaptive Control & Signal

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Control systems are inevitably affected by external disturbances, and a major challenge of control design approaches is to attenuate or eliminate their adverse effects on the system performance. This article presents a disturbance rejection control approach with two main improvements over existing results: (1) it relaxes the requirement of calculating or measuring the state derivatives, which are not available for measurement, and their calculation is corrupted by noise, and (2) it guarantees finite-time disturbance rejection and finite-time reference trajectory tracking when disturbances are generated from exosystem models with unknown dynamics. To this end, a filtered regressor form is leveraged to model the nonlinear system dynamics as well as the unknown disturbance dynamics. It is shown that the presented filtered regressor form allows us to estimate the disturbance using only measured state of the regressor and without requiring any state derivative measurements. First, an adaptive controller combined with the adaptive disturbance observer is presented for the case where the disturbance is bounded. Second, an adaptive controller combined with the experience-replay based adaptive disturbance observer is presented for the case where the disturbance can be unbounded. In both cases, it is guaranteed that the reference tracking error as well as the disturbance estimation error and its dynamic error converge to zero in finite time. A simulation example illustrates the effectiveness of the proposed approach.

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Robust adaptive finite-time stabilization control for a class of nonlinear switched systems based on finite-time disturbance observer

Cited by 44 publications

References 43 publications

Disturbance Observer-Based Robust Control Design for Uncertain Periodic Piecewise Time-Varying Systems With Disturbances

Disturbance Observer-Based Robust Control Design for Uncertain Periodic Piecewise Time-Varying Systems With Disturbances

Adaptive under-actuated control for capacitive micro-machined ultrasonic transducer based on an accurate nonlinear modeling

Finite‐time disturbance rejection for nonlinear systems using an adaptive disturbance observer based on experience‐replay

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