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.
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
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.