Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

Wang, Chunxiao; Wu, Yuqiang; Zong, Guangdeng

doi:10.1007/s00034-016-0473-6

Cited by 6 publications

(1 citation statement)

References 22 publications

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“…Since Weiss and Infante (1965) proposed the concept of finite-time stability in Weiss and Infante (1965), the problem of adaptive finite-time tracking control has drawn considerable attentions (e.g. Bhat & Bernstein, 2000;Lu & Xia, 2013;Song, Niu, & Zou, 2017;Wang, Wu, & Zong, 2017;Yu et al, 2005;Zhu, Xia, & Fu, 2011). A rigorous foundation for the theory of finite-time stability of continuous autonomous systems was provided by Bhat and Bernstein (2000).…”

Section: Introductionmentioning

confidence: 99%

RETRACTED ARTICLE: Finite-time tracking control for strict-feedback nonlinear systems with time-varying output constraints

2018

International Journal of Systems Science

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This paper focuses on the adaptive finite-time tracking control for a class of strict-feedback nonlinear systems with parametric uncertainties and time-varying output constraint. Novel backstepping control scheme combined with tuning function is proposed, which not only can assure that the finitetime convergence of system output tracking error into a small set around zero but also can guarantee that the time-varying output constraint is not violated. More precisely, a tan-type Barrier Lyapunov Function is proposed to ensure the boundedness of output tracking error and a new tuning function is constructed to eliminate the effect of uncertainties. Finally, two examples which including one numerical example and a single-link robot are provided to demonstrate that the proposed approach can achieve the desired performance and the time-varying output constraint is never breached.

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