Finite-time robust adaptive simultaneous stabilisation of nonlinear time-delay systems with actuator saturation

Abstract

This paper focuses on finite-time robust adaptive simultaneous stabilisation for nonlinear time-delay systems, taking into account actuator saturation and unknown parameters. Firstly, by employing adaptive control strategies and finite-time stability theory, a finite-time adaptive simultaneous stabilisation scheme for the nonlinear time-delay systems is developed. Secondly, utilising the orthogonal decomposition method, a finite-time robust adaptive simultaneous stabilisation scheme for nonlinear time-delay systems with external disturbances is proposed. Finally, simulations demonstrate the effectiveness of the provided control scheme.

Keywords:

• Finite-time simultaneous stabilisation
• robust adaptive control
• actuator saturation
• nonlinear systems
• time delay

Disclosure statement

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

Data availability statement

The data that support the findings of this study are available from the corresponding author, [Z. Xiang], upon reasonable request.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 62373191].