This paper is concerned with interval state estimation for a class of Linear Parameter-Varying systems with parametric uncertainties. Firstly, sufficient conditions to guarantee both the cooperativity and stability of observation error dynamics are presented in terms of parameterized matrix inequality formulations. Secondly, a novel method for scheduled controller law design is proposed in the framework of interval observer design. Under the assumptions that scheduled parameters have a polytopic structure property, the problems of the existence conditions of observers and scheduled controller design are transformed into finite linear matrix inequalities ones, which can be solved by convex optimization algorithms. The validity of the proposed state estimation methods is illustrated through a simple example.

中文翻译：

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一类具有参数不确定性的线性变参数系统的状态估计

本文涉及一类具有参数不确定性的线性参数变化系统的区间状态估计。首先，根据参数化矩阵不等式公式，给出了保证观测误差动力学的协同性和稳定性的充分条件。其次，在区间观测器设计的框架内，提出了一种新的调度控制器律设计方法。在调度参数具有多面结构性质的假设下，将观测器存在条件问题和调度控制器设计问题转化为有限线性矩阵不等式，可以通过凸优化算法求解。通过一个简单的例子说明了所提出的状态估计方法的有效性。