Global finite-time stabilisation for a class of nonlinear systems in the p-normal form via output feedback

Abstract

In this paper, a finite-time output feedback control scheme is presented for a class of nonlinear systems in the p-normal form. The nonlinear functions in the systems are assumed to be bounded by both low-order and high-order nonlinearities multiplied by a polynomial-type output-dependent growth rate, which are able to cover a more general ones. A reduced-order observer is constructed to estimate unmeasurable states, and a finite-time output feedback controller is proposed for the considered system by constructing a new Lyapunov function and using the adding a power integration technique. Two simulation examples are given to verify the effectiveness of the proposed scheme.

Keywords:

• Finite-time stabilisation
• reduced-order observer
• output feedback control
• homogeneous approach

Acknowledgements

This work was supported by the National Natural Science Foundation of China [grant number 61673219,61873128] and in part by the Jiangsu Key Research and Development Plan under Grant BE2018004-3.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [Grant Numbers 61673219, 61873128] and in part by the Jiangsu Key Research and Development Plan under Grant Number BE2018004-3.

Notes on contributors

Xuhuan Wang

Xuhuan Wang received the M.S. degree from Guangxi University for Nationalities, Nanning, China, in 2012. He is currently pursuing the Ph.D. degree in control theory and control engineering from the Nanjing University of Science and Technology, Nanjing, China. His current research interests include finite-time control and nonlinear systems.

Zhengrong Xiang

Zhengrong Xiang received his Ph.D. degree in Control Theory and Control Engineering at Nanjing University of Science and Technology, Nanjing, China, in 1998. Since 1998 he has been faculty member and is currently a full professor at Nanjing University of Science and Technology. He was appointed as a lecturer in 1998 and associate professor in 2001 at Nanjing University of Science and Technology. He is a member of the IEEE and member of the Chinese Association for Artificial Intelligence. His main research interests include switched systems, nonlinear control, robust control and networked control systems.