NDLI: Robust stabilisation of uncertain time-delay dynamical systems with unknown bounds of uncertainties: a non-linear control method

Content Provider	IET Digital Library
Author	Wu, Hansheng
Abstract	In this study, the problem of robust stabilisation is considered for a class of uncertain dynamical systems with state delays. Here, it is assumed that the upper bounds of the delayed state perturbations, uncertainties and external disturbances are completely unknown. For such a class of uncertain time-delay dynamical systems, a novel design method is presented in which a class of continuous memoryless robust stabilising controllers is constructed. In particular, by making use of the presented method, it is not required to introduce some adaptive schemes to update the unknown upper bounds, which makes the control schemes simpler than adaptive robust control schemes reported in the control literature. Moreover, such a control scheme proposed in this study will be called adaptation-free robust control scheme. It is also shown that the solutions of the resulting closed-loop time-delay dynamical systems can be guaranteed to be uniformly ultimately bounded. Finally, the simulations of some numerical examples are provided to demonstrate the validity of the theoretical results.
Starting Page	2039
Ending Page	2046
Page Count	8
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 13, Aug (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/13
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.1153
Journal	IET Control Theory & Applications
Publisher Date	2015-06-09
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptation-free Robust Control Scheme Closed Loop System Closed-loop Time-delay Dynamical System Continuous Memoryless Robust Stabilising Controller Control System Analysis Control System Synthesis Delay Delayed State Perturbations Distributed Parameter Control System External Disturbances Nonlinear Control Method Nonlinear Control System Robust Control Robust Stabilisation Stability in Control Theory State Delay Synthesis Method Uncertain System Uncertain Time-delay Dynamical System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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