Stabilization Control for Strict-Feedback Nonlinear Systems With Time Delays

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 12; pp. 7549 - 7560
• Main Authors: Li, Wenjie, Zhang, Zhengqiang, Ge, Shuzhi Sam
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Backstepping; Chemical reactors; Control systems; Control systems design; Controllers; Delay effects; Delays; Design parameters; Feedback control; Floating platforms; Lyapunov–Krasovkii functional; Nonlinear control; Nonlinear dynamical systems; Nonlinear systems; nonlinear time delay systems; Observers; Output feedback; output-feedback control; static gain; Time delay systems; Uncertain systems
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2022.3160209

In this article, the output-feedback control problem for a class of nonlinear time-delay systems has been considered. Unmeasured system states and the time-varying delays which appear in all state variables bring great challenges to the controller design. Novel Lyapunov-Krasovkii functionals with control gains are proposed for a delay-independent controller. The system is proved to be asymptotically stable driven by the controller with suitable design parameters. Finally, we apply the new control scheme to a two-stage chemical reactor system and the time-delay tension leg platform system, the effectiveness of the control scheme is illustrated in the simulation results.