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

AbstractThis 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 stabilisationrobust adaptive controlactuator saturationnonlinear systemstime delay Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementThe data that support the findings of this study are available from the corresponding author, [Z. Xiang], upon reasonable request.Additional informationFundingThis work was supported by the National Natural Science Foundation of China [grant number 62373191].