Observer‐based adaptive  control of uncertain stochastic singular systems via integral sliding mode technique

Liu, Zhen; Zhao, Lin; Gao, Cunchen

doi:10.1049/iet-cta.2016.0911

Cited by 16 publications

(7 citation statements)

References 36 publications

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“…Then a delay‐dependent robust stability criterion was established for all admissible uncertainties. But the method of designing integral sliding surface functional [22,23] was not suitable for the derivative term with time‐varying delays. Therefore, we introduce a sliding mode compensator in this integral sliding surface functional to solve this problem in this paper, which is our motivation for this study.…”

Section: Introductionmentioning

confidence: 99%

Robust control for a class of uncertain neutral‐type systems with time‐varying delays

Meng

Gao

Liu

et al. 2020

Asian Journal of Control

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This paper investigates the problem of robust H∞ asymptotic stabilization for a class of uncertain neutral‐type systems with time‐varying delays. A sufficient condition is obtained to ensure the considered system is robust asymptotic stabilization with disturbance attenuation level γ, which is based on the sliding mode observer framework. Meanwhile, a novel integral sliding surface function with the compensator is proposed to make sure the considered system can be stabilized. And the gain matrix is obtained by solving a strict linear matrix inequality. Finally, two numerical examples are provided to demonstrate the validity and potential of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Robust control for a class of uncertain neutral‐type systems with time‐varying delays

Meng

Gao

Liu

et al. 2020

Asian Journal of Control

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“…The adaptive SMC method ensures a dynamic adaptation of the control gain to be as small as possible whereas sufficient to counteract the uncertainties and perturbations. Generally speaking, the adaptive SMC approach has received growing attention during the recent years and significant algorithms have been developed for systems with unknown uncertainties (Cui et al, 2016; Guo et al, 2018; Kchaou et al, 2018; Li et al, 2016; Liu et al, 2017b, 2017c; Mobayen, 2018; Mobayen et al, 2017; Oucheriah and Guo, 2013; Utkin and Poznyak, 2013; Xu et al, 2019). To name a few, in Oucheriah and Guo (2013), a robust adaptive SMC is designed for boost converter with unknown resistive load and external input voltage.…”

Section: Introductionmentioning

confidence: 99%

“…The exponential stability of markovian jumping systems via adaptive SMC was discussed in Xu et al (2019). Indeed, the majority of adaptive SMC reports (Kchaou et al, 2018; Liu et al, 2017b, 2017c) as well as existing SMC design approaches (Chu and Li, 2018; Song et al, 2017; Zhang et al, 2013) are based on the assumption of Lipschitz continuity.…”

Section: Introductionmentioning

confidence: 99%

Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

Saad

Sellami

García

2019

Journal of Vibration and Control

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In this paper, the problem of adaptive sliding mode control for varied one-sided Lipschitz nonlinear systems with uncertainties is investigated. In contrast to existing sliding mode control design methods, the considered models, in the current study, are affected by nonlinear control inputs, one-sided Lipschitz nonlinearities, unknown disturbances and parameter uncertainties. At first, to design the sliding surface, a specific switching function is defined. The corresponding nonlinear equivalent control is extracted and the resulting sliding mode dynamic is given. Novel synthesis conditions of asymptotic stability are derived in terms of linear matrix inequalities. Thereafter, to ensure the reachability of system states and the occurrence of the sliding mode, the sliding mode controller is designed. Any knowledge of the upper bound on the perturbation is not required and an adaptation law is proposed. At last, two illustrative examples are introduced.

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“…It is sometimes very expensive to measure them, or they just have no practical sense in the realization of SMC. If so, the missing information of the states should be reconstructed, and the observer‐based SMC is wanted to evaluate the unknown states . The observer in related works whose estimation error diverges by a small disturbance during operation is regarded as nonresilient or fragile.…”

Section: Introductionmentioning

confidence: 99%

“…If so, the missing information of the states should be reconstructed, and the observer‐based SMC is wanted to evaluate the unknown states . The observer in related works whose estimation error diverges by a small disturbance during operation is regarded as nonresilient or fragile. In many practical applications, it is crucial to use a nonfragile observer that can tolerate the perturbation caused by the variation of the temperature or the aging of the component .…”

Section: Introductionmentioning

confidence: 99%

Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

Han

Kao

Park

2018

Intl J Robust & Nonlinear

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This paper is devoted to the robust ℋ ∞ sliding mode control issue for a type of switched discrete singular systems with time-varying delays under arbitrary switching. Since the system states are not available, the nonfragile observer strategy is used to generate the state estimation. By designing a novel sliding surface function, which is established on the estimation, new sufficient conditions via linear matrix inequalities are derived so that the closed-loop system is admissible with an ℋ ∞ disturbance attenuation level . Furthermore, sliding mode controllers are given to guarantee the reachability of the quasi-sliding mode and weaken the chattering. At last, examples are presented to verify the validity of our provided approach.

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Observer‐based adaptive control of uncertain stochastic singular systems via integral sliding mode technique

Cited by 16 publications

References 36 publications

Robust control for a class of uncertain neutral‐type systems with time‐varying delays

Robust control for a class of uncertain neutral‐type systems with time‐varying delays

Robust stabilization of one-sided Lipschitz nonlinear systems via adaptive sliding mode control

Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

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