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Zhang, Kang-Kang; Zhou, Bin; Duan, Guang-Ren
IEEE transactions on circuits and systems. I, Regular papers, 2022-Sept., Letnik: 69, Številka: 9Journal Article
This paper studies the prescribed-time input-to-state stabilization problem of normal nonlinear systems. With the help of some key properties of a class of parametric Lyapunov equations, the prescribed-time input-to-state stabilization problem of normal nonlinear systems under matched uncertainties is studied. Some bounded time-varying controllers are proposed. It is shown that the closed-loop systems are prescribed-time input-to-state stable. Finally, the effectiveness of the established methods is illustrated by two physical systems.
