This paper proposes a finite-time observer-based controller for time-delay descriptor systems with time-varying disturbances, model uncertainties, and one-sided Lipschitz nonlinearities. For this purpose, first, a nonlinear descriptor observer is designed, and the observer error system is calculated. Then, the observer-based control law is proposed to provide the conditions for robust stabilization of the closed-loop descriptor system by selecting an appropriate Lyapunov–Krasovskii functional. According to the delay-dependent stability criterion, LMI-based sufficient conditions are derived and the gains of the controller and the observer are calculated. The proposed controller guarantees the finite-time boundedness and H∞ disturbance attenuation of the closed-loop descriptor system. Finally, the effectiveness of the proposed technique is investigated through computer simulations.

中文翻译：

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通过基于观测器的控制对具有状态延迟的非线性描述符系统进行有限时间 H∞ 控制的延迟相关方法

本文提出了一种基于有限时间观测器的控制器，用于具有时变扰动、模型不确定性和单边 Lipschitz 非线性的时滞描述符系统。为此，首先设计了非线性描述符观测器，并计算观测器误差系统。然后，提出了基于观测器的控制律，通过选择合适的 Lyapunov-Krasovskii 函数为闭环描述符系统的鲁棒稳定提供条件。根据时滞相关稳定性判据，推导出基于LMI的充分条件，并计算控制器和观测器的增益。所提出的控制器保证了闭环描述符系统的有限时间有界性和 H∞ 干扰衰减。最后，