## Journal

International Journal of Control

2577-2595

93

## Number

11

https://doi.org/10.1080/00207179.2020.1773526

## File

### Abstract

This paper proposes the design of an interval observer-based approach for linear dynamic systems aected by both time-invariant and time-varying uncertainties. First, dierent interval observer schemes are compared and analyzed when dealing with the dierent type 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, ${H}_{\mathrm{\infty }}$ 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 analyzing the effectiveness of the proposed approach.

### Categories

automation, control theory, observability.

### Author keywords

Uncertain dynamic system, interval observers, time-invariant and time-varying uncertainties, LMI technique, Hinf performance

### Scientific reference

M. Pourasghar, V. Puig and C. Ocampo-Martínez. On robust interval observer design for uncertain systems subject to both time-invariant and time-varying uncertainties. International Journal of Control, 93(11): 2577-2595, 2020.