In this article, the problems of robust reliable H_∞ optimization control for discrete‐time nonlinear systems with or without time‐delay subject to faults are investigated. A static state feedback controller is explored for Takagi–Sugeno fuzzy systems against nonlinear dynamics, exogenous disturbances, and model uncertainties. In contrast to the design of conventional controllers, the proposed controller is easier and more flexible. The Lyapunov function is utilized to assure the stability of the closed‐loop systems. Besides, linear matrix inequalities are utilized to derive the sufficient conditions by MATLAB toolbox. Finally, two simulation examples are shown to validate the feasibility of the suggested approach.

中文翻译：

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具有时变时滞的不确定离散Takagi-Sugeno模糊系统的鲁棒可靠H∞优化控制

在本文中，鲁棒可靠的问题ħ _∞离散时间非线性系统有或没有时间延迟受故障优化控制进行了研究。针对Takagi–Sugeno模糊系统，研究了针对非线性动力学，外源性干扰和模型不确定性的静态反馈控制器。与常规控制器的设计相比，所提出的控制器更容易，更灵活。利用李雅普诺夫（Lyapunov）功能来确保闭环系统的稳定性。此外，利用线性矩阵不等式可通过MATLAB工具箱导出足够的条件。最后，显示了两个仿真示例，以验证所建议方法的可行性。