2017
DOI: 10.1155/2017/7202584
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Disturbance Observer‐Based Input‐Output Finite‐Time Control of a Class of Nonlinear Systems

Abstract: This paper is concerned with disturbance observer-based input-output finite-time control of a class of nonlinear systems with one-sided Lipschitz condition, as well as multiple disturbances. Firstly, a disturbance observer is constructed to estimate the disturbance generated by an exogenous system. Secondly, by integrating the estimation of disturbance with a classical state feedback control law, a composite control law is designed and sufficient conditions for input-output finite-time stability (IO-FTS) of th… Show more

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Cited by 4 publications
(3 citation statements)
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“…Define Ŵ as an estimation of W * , the estimation error is W = W * − Ŵ . Therefore, the following controller is designed (24) with the adaptive law:…”
Section: A Position Controller Designmentioning
confidence: 99%
“…Define Ŵ as an estimation of W * , the estimation error is W = W * − Ŵ . Therefore, the following controller is designed (24) with the adaptive law:…”
Section: A Position Controller Designmentioning
confidence: 99%
“…Recently, the finite-time control has received much attention (Ding and Li, 2009; Li and Tian, 2003; Mobayen and Javadi, 2017; Polyakov et al, 2016; Wei and Zhang, 2009; Zhang et al, 2019), and some new results have been presented, such as finite-time stability (Ding and Li, 2009; Li et al, 2011; Liu et al, 2017; Polyakov et al, 2015; Wang et al, 2020; Zhang and Wei, 2021), input-to-state finite-time stability (Hong et al, 2008) and so on (Hu et al, 2021; Nie et al, 2021; Xi and Liu, 2021; Zhu et al, 2021). In Liu et al (2009), a finite-time control technique is proposed for permanent magnet synchronous motor position servo system by using backstepping method, where the external and internal disturbances are modelled as an equivalent disturbance.…”
Section: Introductionmentioning
confidence: 99%
“…However, these design results can only realize disturbance attenuation but not disturbance rejection. In order to improve closed-loop control performance, the disturbance observerbased control [23][24][25][26][27][28][29][30][31] and active disturbance rejection control [32][33][34][35][36][37][38][39] have been developed for drag-free satellite to pursue more ideal control system performance [25,[40][41][42][43][44][45][46][47][48][49][50]. However, how to design a suitable observer to estimate the disturbances more precisely is still an open and attractive problem [51].…”
Section: Introductionmentioning
confidence: 99%