We present a novel predictor-feedback gain-scheduled control synthesis method for discrete-time Takagi–Sugeno (TS) fuzzy descriptor systems with unknown time-varying input delays. The goal is to reduce the computational complexity in the control design by keeping the descriptor form whilst improving the closed-loop robust performance. It is worth mentioning the following aspects: 1) our approach easily allows dealing with parametric uncertainties on the descriptor matrix, which are generally difficult to handle via matrix inversion; and 2) the control design problem is casted into linear matrix inequality conditions by using nonquadratic Lyapunov functions, the Projection Lemma, and small gain theory. Finally, three examples are provided to show the effectiveness of the proposed method.

中文翻译：

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具有时变输入延迟的离散时间 TS 模糊描述符系统的增强型基于预测器的控制合成

我们提出了一种新颖的预测器反馈增益调度控制合成方法，用于具有未知时变输入延迟的离散时间 Takagi – Sugeno (TS) 模糊描述符系统。目标是通过保持描述符形式同时提高闭环鲁棒性能来降低控制设计中的计算复杂度。值得一提的是以下几个方面：1）我们的方法很容易处理描述符矩阵上的参数不确定性，这通常很难通过矩阵求逆来处理；2) 利用非二次李雅普诺夫函数、投影引理和小增益理论，将控制设计问题转化为线性矩阵不等式条件。最后，提供了三个例子来证明所提出方法的有效性。