Global output tracking by state feedback for high-order nonlinear systems with time-varying delays. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Alimhan, Keylan; Mamyrbayev, Orken; Erdenova, Aigerim; Akmetkalyeva, Almira
• Editors: Pham, Duc
• Is Part Of: Cogent engineering. Volume 7:Issue 1(2020)
• Publication Date: 2020-01-01
• Subjects: practical output tracking -- time-varying delay nonlinear systems -- state feedback -- homogeneous domination technique; Engineering -- Periodicals; Technology -- Periodicals; Engineering; Technology; Periodicals; 620
• DOI: 10.1080/23311916.2020.1711676
• Languages: English
• ISSNs: 2331-1916

Abstract

Abstract: This paper focuses on the problem of global practical output tracking for a class of high-order non-linear systems with time-varying delays (via state feedback). Under mild growth conditions on the system nonlinearities involving time-varying delays, we construct a state feedback controller with an adjustable scaling gain. With the aid of a Lyapunov–Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by the growth conditions and make the tracking error arbitrarily small while all the states of the closed-loop system remain to be bounded. Finally, a simulation example is given to illustrate the effectiveness of the tracking controller.