This paper proposes the design of an interval observer-based approach for linear dynamic systems affected by both time-invariant and time-varying uncertainties. First, different interval observer schemes are compared and analysed when dealing with the different types of uncertainties. Then, an integrated interval observer is proposed in order to overcome the drawbacks of using the set-based approach, i.e. the non-preservation of the parameter uncertainty time dependency and the wrapping effect. Furthermore, performance is considered in order to compute the observer gain by using an LMI technique. Finally, a numerical example and a real case study based on a two-tank system are employed for both illustrating and analysing the effectiveness of the proposed approach.

中文翻译：

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具有时不变和时变不确定性的不确定系统的鲁棒区间观测器设计

本文针对受时不变和时变不确定性影响的线性动态系统提出了一种基于区间观测器的方法的设计。首先，在处理不同类型的不确定性时，对不同的区间观测器方案进行了比较和分析。然后，为了克服使用基于集合的方法的缺点，即不保留参数不确定性时间依赖性和包裹效应，提出了一种集成区间观测器。此外，为了通过使用 LMI 技术计算观测器增益，还考虑了性能。最后，一个数值例子和一个基于双罐系统的真实案例研究被用来说明和分析所提出方法的有效性。