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

Haiying Zhang and Zhengrong Xiang

International Journal of Systems Science, 2024, vol. 55, issue 1, 49-67

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.

Date: 2024
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DOI: 10.1080/00207721.2023.2268245

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