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Passivity-based Finite-time Bounded Stabilization of Nonlinear Singularly Perturbed Systems with Time Delays: An Iterative Solving Algorithm

Shuhan Wang, Sai Zhou, Jun Song*, Xinyu Lv, and Yugang Niu*
International Journal of Control, Automation, and Systems, vol. 20, no. 11, pp.3606-3613, 2022

Abstract : A finite-time passive controller is developed in this paper for Lipschitz nonlinear systems subject to singular perturbation, time-delays, and parameter uncertainties. Based on the singular perturbation theory and passive control theory, a robust passive controller is drafted for the finite-time interval though the unknown and bounded exogenous disturbances. Some sufficient conditions are obtained for the existence of finite-time robust passive controller, which ensures the resulting closed-loop system is finite-time bounded for all allowable uncertainties. A simulation example is provided to illustrate the validity of the proposed controller.

Keyword : Finite-time boundedness, passivity, singularly perturbed system, time-delays.

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