Adaptive output feedback control for p-normal nonlinear time-varying delay systems with unknown output function. Issue 9 (June 2022)

• Record Type: Journal Article
• Authors: Shen, Yingying; Zhai, Junyong
• Is Part Of: Journal of the Franklin Institute. Volume 359:Issue 9(2022)
• Page Start: 4097
• Page End: 4115
• Publication Date: 2022-06
• Subjects: Adaptive control -- p-Normal nonlinear systems -- Time-varying delays -- Unknown output function; Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2022.04.006
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper tackles the global adaptive output feedback control issue for a family of p -normal nonlinear time-delay systems with output function unknown. Firstly, an output feedback controller (OFC) is designed through adding a power integrator technique to stabilize the nominal system (without nonlinear terms) globally. Based on the above OFC, two novelly-designed dynamic gains and a Lyapunov-Krasovskii functional are constructed to deal with the uncertainties and time-varying delays, respectively. It can be proved that the p -normal nonlinear lower-triangular time-delay system is globally asymptotically stable (GAS) with bounded dynamic gains. Finally, a numerical example demonstrates the feasibility of the control strategy.