正线性间隔连续时间系统的正状态定界观测器设计

Positive State-bounding Observer for Positive Linear Interval Continuous-Time System

本文主要讨论关于正线性间隔连续时间系统的正状态观测器设计。鉴于观测器正性的要求,所以设计了可一直估计正系统状态的一对正观测器。关于状态定界观测器存在的充要条件也给出并予以了证明,而且过程中也通过线性矩阵不等式(LMIs)方法得到了观测器矩阵并通过迭代得到最优化观测矩阵。最后,通过一个例子验证了本文的结论。

This paper is concerned with the design of positive state-bounding observer for positive linear interval continu- ous-time systems. Due to the positivity requirement on the observes, a pair of positive observers is proposed to estimate the state of positive systems at all times can be given, and the desired observer matrices can be constructed easily through the so- lutions of linear matrix inequalities （LMIs）. Finally, a illustrative example is provided to show the effectiveness and applic- ability of the theoretical results.