In this paper, a model reference control strategy is proposed in order to perform trajectory tracking in Takagi–Sugeno–Lipschitz (TSL) systems. Since the state vector is assumed not to be completely available for measurement, a proportional observer is added to the control scheme in order to apply an estimate‐feedback control action instead of a state‐feedback one. The overall design of both the controller and the observer gains are performed using a Lyapunov‐based quadratic boundedness specification, in order to improve the robustness against unknown exogenous disturbances. It is shown that the conditions that ensure convergence within ellipsoidal regions of the tracking and estimation errors can be expressed in the form of a linear matrix inequality (LMI) formulation. The effectiveness of the developed control strategy is demonstrated by means of simulation results.

中文翻译：

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使用二次有界性的受干扰影响的Takagi–Sugeno–Lipschitz系统基于观察者的模型参考控制

在本文中，为了在Takagi–Sugeno–Lipschitz（TSL）系统中执行轨迹跟踪，提出了一种模型参考控制策略。由于假定状态向量不能完全用于测量，因此将比例观察器添加到控制方案中，以应用估计反馈控制动作，而不是状态反馈控制动作。控制器和观测器增益的整体设计均使用基于Lyapunov的二次有界规范进行，以提高抵抗未知外来干扰的鲁棒性。结果表明，确保跟踪和估计误差的椭圆形区域内收敛的条件可以用线性矩阵不等式（LMI）公式表示。