Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties. Issue 12 (9th September 2016)

• Record Type: Journal Article
• Authors: Wu, Hansheng
• Is Part Of: International journal of systems science. Volume 47:Issue 12(2016)
• Page Start: 2816
• Page End: 2826
• Publication Date: 2016-09-09
• Subjects: decentralised control -- large-scale systems -- uncertainty -- time delay -- robust control -- adaptive control -- ultimate boundedness; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2015.1029569
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : The problem of decentralised robust stabilisation is considered for a class of uncertain large-scale time-delay interconnected dynamical systems. In the paper, the upper bounds of delayed state perturbations, uncertainties, interconnection terms, and external disturbances are assumed to be completely unknown, and the delays are assumed to be any non-negative constants. For such a class of uncertain large-scale time-delay interconnected systems, a new method is presented whereby a class of adaptation-free decentralised local robust state feedback controllers can be constructed. In addition, it is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed to be uniformly ultimately bounded. Finally, as an application to the practical mechanical systems, some simulations of a numerical example are provided to demonstrate the validity of the theoretical results.