Adaptive Regulation of Time-Delay Cascade Systems with Parameter Uncertainty *. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Zhang, Xu; Lin, Wei; Lin, Yan
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 723
• Page End: 728
• Publication Date: 2017-07
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.230
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Under a suitable condition on the zero-dynamics with time-delay, we prove that global state regulation can be achieved by a partial state adaptive controller for certain time-delay cascade systems with unknown parameters. A delay-independent, partial state adaptive control scheme is developed based on a dynamic gain-based design, the idea of changing supply rate and the feedback domination approach. With the help of appropriate Lyapunov-Krasovskii functionals, it is shown that the resulting closed-loop system is globally bounded and all the states of the time-delay cascade system converge to the origin.