Finite-time robust adaptive stabilisation of input saturated time-delay nonlinear systems

Abstract

The problem of finite-time robust adaptive stabilisation for a class of input saturated time-delay nonlinear systems with unknown parameters is studied in this article. Firstly, by applying the orthogonal decomposition method, a finite-time adaptive stabilisation controller is designed for the system. Then the finite-time robust adaptive stabilisation result for the system with external disturbance is obtained. Finally, a practical system example is presented to demonstrate the effectiveness of the proposed control scheme.

Keywords:

• Finite-time robust adaptive stabilisation
• Hamilton functional method
• orthogonal decomposition method
• input saturated system

Disclosure statement

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

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61873128].