This paper investigates the finite-time robust passive control of nonlinear discrete time-delay systems via static output feedback. The considered discrete time-delay system has uncertain terms which are due to parametric uncertainties and exogenous disturbances. The disturbances are unknown time-varying signals with known upper bounds. In order to design the suitable control law, some sufficient conditions (in terms of some matrix inequalities) should be satisfied. These conditions are derived using the Lyapunov–Krasovskii functional approach. The passivity property of the closed-loop system is also presented in the form of matrix inequalities. These conditions are then converted to linear matrix inequalities (LMIs), and the gain of the controller is obtained from the feasibility testing of the resulting LMIs. Finally, the efficiency of the proposed controller is demonstrated through computer simulations for numerical and practical (Chua’s circuit) examples.

中文翻译：

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使用输出反馈对不确定离散时延系统进行有限时间鲁棒无源控制：在蔡氏电路上的应用

本文研究了通过静态输出反馈对非线性离散时滞系统进行有限时间鲁棒无源控制。所考虑的离散时滞系统由于参数不确定性和外生干扰而具有不确定项。扰动是具有已知上限的未知时变信号。为了设计合适的控制律，需要满足一些充分条件（就一些矩阵不等式而言）。这些条件是使用 Lyapunov-Krasovskii 泛函方法推导出来的。闭环系统的被动性也以矩阵不等式的形式表示。然后将这些条件转换为线性矩阵不等式 (LMI)，控制器的增益通过对结果 LMI 的可行性测试获得。最后，