Interval Estimation for Discrete-Time Linear Parameter-Varying System with Unknown Inputs

被引:1
作者
Chevet, Thomas [1 ,2 ]
Thach Ngoc Dinh [1 ]
Marzat, Julien [2 ]
Raissi, Tarek [1 ]
机构
[1] Conservatoire Natl Arts & Metiers CNAM, Cedr Laetitia, 292 Rue St Martin, F-75141 Paris, France
[2] Univ Paris Saclay, ONERA, DTIS, F-91123 Palaiseau, France
来源
2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2021年
关键词
Linear parameter-varying system; Unknown input observer; Interval observer; Discrete-time systems; STATE ESTIMATION; OBSERVER DESIGN;
D O I
10.1109/CDC45484.2021.9683335
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper proposes a new interval observer for joint estimation of the state and unknown inputs of a discrete-time linear parameter-varying (LPV) system with an unmeasurable parameter vector. This system is assumed to be subject to unknown inputs and unknown but bounded disturbances and measurement noise, while the parameter-varying matrices are elementwise bounded. Considering the unknown inputs as auxiliary states, the dynamics are rewritten as discrete-time LPV descriptor dynamics. A new structure of interval observer is then used, providing more degrees of freedom than the classical change of coordinates-based structure. The observer gains are computed by solving linear matrix inequalities derived from cooperativity condition and L-infinity norm. Numerical simulations are run to show the efficiency of the proposed observer.
引用
收藏
页码:4002 / 4007
页数:6
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