Adaptive Fixed-Time Control of Strict-Feedback High-Order Nonlinear Systems

Yang Li; Jianhua Zhang; Xiaoyun Ye; Cheng Siong Chin

doi:10.3390/e23080963

Adaptive Fixed-Time Control of Strict-Feedback High-Order Nonlinear Systems

Entropy (Basel). 2021 Jul 27;23(8):963. doi: 10.3390/e23080963.

Authors

Yang Li¹, Jianhua Zhang¹, Xiaoyun Ye¹, Cheng Siong Chin²

Affiliations

¹ School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, China.
² Faculty of Science, Agriculture, and Engineering, Newcastle University Singapore, Singapore 599493, Singapore.

Abstract

This paper examines the adaptive control of high-order nonlinear systems with strict-feedback form. An adaptive fixed-time control scheme is designed for nonlinear systems with unknown uncertainties. In the design process of a backstepping controller, the Lyapunov function, an effective controller, and adaptive law are constructed. Combined with the fixed-time Lyapunov stability criterion, it is proved that the proposed control scheme can ensure the stability of the error system in finite time, and the convergence time is independent of the initial condition. Finally, simulation results verify the effectiveness of the proposed control strategy.

Keywords: adaptive fixed-time control; neural network control; strict-feedback high-order nonlinear systems.