Exponential output feedback control for a class of strict-feedback nonlinear systems with different time-delay states

Abstract

In this paper, the output feedback control scheme is developed to investigate the exponential stabilisation problem for a class of strict-feedback nonlinear systems subject to different time-delay states. First of all, the memoryless full-order observer and output feedback controller which depend on the same designed parameter are provided respectively. And then, by tactfully introducing the suitable Lyapunov–Krasovskii functional and selecting the applicable parameter to be designed, the exponential stability of the closed-loop system can be achieved. Finally, a numerical example is used to illustrate the effectiveness of the proposed control scheme.

Keywords:

• Exponential stability
• strict-feedback nonlinear systems
• different time-delay states
• output feedback control

Data availability statement

The authors confirm that the data supporting the findings of this study are available within the article.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Young Taishan Scholar Project of Shandong Province of China [grant number tsqn202211132], the National Natural Science Foundation of China [grant number 61773073] and the Natural Science Foundation of Liaoning Province [grant number 2021MS313].

Notes on contributors

Liang Liu

Liang Liu received the M.S. degree in systems analysis and integration, and the Ph.D. degree in applied mathematics from Qufu Normal University, Qufu, China, in 2010 and 2013, respectively. He is currently a professor with the Institute of Automation, Qufu Normal University. His research interests include nonlinear system control, adaptive control, stochastic system control and their applications.

Mengru Kong

Mengru Kong received the B.E. degree in Mathematics and Applied Mathematics from Qufu Normal University, Qufu, China, in 2020. She is pursuing for the M.S. degree in Mathematics in Qufu Normal University, Qufu, China. Her research interests include nonlinear system control and stochastic system control.