Nonlinear feedback design for fixed-time tracking of a class of nonlinear systems

ABSTRACT

Fixed-time control is more preferable than finite-time control in practical applications since the settling time is independent of the system initial condition in a fixed-time control problem. Moreover, systems in real world usually suffer from unfavourable factors, such as unknown control coefficients and external disturbance. In this paper, we consider the fixed-time tracking control for a class of nonlinear systems by considering the aforementioned two points. A strategy for specifying the control input is established by the method of adding a power integrator. The designed control law guarantees that the reference signal can be followed in a fixed time. As an application, the bank-to-turn missile system is used to show the efficiency of the proposed fixed-time tracking scheme.

KEYWORDS:

• Nonlinear system
• fixed-time stable
• trajectory tracking
• settling time estimate
• adding a power integrator

2010 AMS SUBJECT CLASSIFICATIONS:

• 03C65
• 13M10
• 34D20
• 37C75

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 61273091, 61403227, 61403228], the Project of Taishan Scholar of Shandong Province of China, the Ph.D. Programs Foundation of Ministry of Education of China, the Natural Science Foundation of Jiangsu Province of China [grant number BK20130989] and the Graduate Student Innovation Foundation of Jiangsu Province of China [grant number KYLX15_0116].