Universal adaptive control for a class of nonlinear time-varying delay systems with unknown output function. (December 2021)

• Record Type: Journal Article
• Authors: Zhou, Hanqi; Zhai, Junyong
• Is Part Of: ISA transactions. Volume 118(2021)
• Page Start: 66
• Page End: 74
• Publication Date: 2021-12
• Subjects: Adaptive controller -- Output feedback control -- Time-delay; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2021.02.017
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper considers the stabilization problem for a class of nonlinear time-varying delay systems with unknown homogeneous growth rates and unknown output function. By introducing the dynamic gain into the system, an adaptive observer is designed. Then, combined with the Lyapunov–Krasovskii functional, an adaptive controller is proposed to guarantee the global stabilization of the closed-loop system. Two examples are provided to verify the effectiveness of the designed controller. Highlights: With homogeneous growth rate being unknown, a dynamic gain is introduced. Under the unknown output function, an adaptive law is creatively designed. An adaptive controller is constructed to stabilize the time-varying delay system.