A New Interval Observer Design Method with Application to Fault Detection

Author(s):  
Liliang Li ◽  
Zhijie Shao ◽  
Rui Niu ◽  
Gang Liu ◽  
Zhenhua Wang
2019 ◽  
Vol 13 (15) ◽  
pp. 2407-2415 ◽  
Author(s):  
Xiuhua Liu ◽  
Jian Han ◽  
Xinjiang Wei ◽  
Huifeng Zhang ◽  
Xin Hu

2020 ◽  
Vol 14 (8) ◽  
pp. 1082-1090 ◽  
Author(s):  
Jun Huang ◽  
Xiang Ma ◽  
Xudong Zhao ◽  
Haochi Che ◽  
Liang Chen

Author(s):  
Dinh Cong Huong ◽  
Dao Thi Hai Yen

In this study, we consider the problem of designing functional interval observers for a class of singular fractional-order systems. The goal of this work is to design not a full state interval observer for singular fractional-order systems, but to design an observer for state functions of this kind of systems. Conditions for the existence of such functional interval observers are given and an effective algorithm for computing unknown observer matrices is provided in this study. Two numerical examples and simulation results are provided to illustrate the effectiveness of the proposed design method.


2015 ◽  
Vol 23 ◽  
pp. 26-35 ◽  
Author(s):  
Denis Efimov ◽  
Andrey Polyakov ◽  
Jean-Pierre Richard

2020 ◽  
Vol 53 (2) ◽  
pp. 3683-3688
Author(s):  
Erik Hildebrandt ◽  
Julia Kersten ◽  
Andreas Rauh ◽  
Harald Aschemann

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1434 ◽  
Author(s):  
Wonhee Kim ◽  
Sangmin Suh

For several decades, disturbance observers (DOs) have been widely utilized to enhance tracking performance by reducing external disturbances in different industrial applications. However, although a DO is a verified control structure, a conventional DO does not guarantee stability. This paper proposes a stability-guaranteed design method, while maintaining the DO structure. The proposed design method uses a linear matrix inequality (LMI)-based H∞ control because the LMI-based control guarantees the stability of closed loop systems. However, applying the DO design to the LMI framework is not trivial because there are two control targets, whereas the standard LMI stabilizes a single control target. In this study, the problem is first resolved by building a single fictitious model because the two models are serial and can be considered as a single model from the Q-filter point of view. Using the proposed design framework, all-stabilizing Q filters are calculated. In addition, for the stability and robustness of the DO, two metrics are proposed to quantify the stability and robustness and combined into a single unified index to satisfy both metrics. Based on an application example, it is verified that the proposed method is effective, with a performance improvement of 10.8%.


2020 ◽  
Vol 53 (2) ◽  
pp. 688-693
Author(s):  
Weixin Han ◽  
Harry L. Trentelman ◽  
Bin Xu

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