On Distributed Prescribed-Time Unknown Input Observers

被引:2
作者
Zhang, Jiancheng [1 ,2 ]
Zhao, Xudong [3 ]
Zheng, Gang [4 ]
Zhu, Fanglai [5 ]
Dinh, Thach Ngoc [6 ]
机构
[1] Guangxi Minzu Univ, Sch Math Sci, Nanning 530006, Peoples R China
[2] Guangxi Minzu Univ, Ctr Appl Math Guangxi, Nanning 530006, Peoples R China
[3] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
[4] Univ Lille, F-59650 Lille, France
[5] Tongji Univ, Coll Elect & Informat Engn, Shanghai 201804, Peoples R China
[6] Cedr Laetitia, Conservatoire Natl Arts & Mtiers CNAM, F-75141 Paris, France
基金
中国国家自然科学基金;
关键词
Observers; Convergence; Noise; Linear systems; Time measurement; Observability; Noise measurement; Vectors; Symbols; Robustness; Distributed unknown input observer (DUIO); existence conditions; linear time-invariant (LTI) system; prescribed-time observer; DESIGN; SYSTEMS;
D O I
10.1109/TAC.2025.3536856
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 article is concerned with the design of the distributed prescribed-time unknown input observer (DPTUIO) for a class of linear time-invariant systems, which we refer to as the target systems. Results on distributed unknown input observers in literature did not address the convergence time predefinition problem. To achieve fast estimation, this article uses weakly unobservable subspace decomposition and introduces a time-scale transformation technology to develop a novel DPTUIO. This design ensures that, for each node, the entire state of the target system can be estimated within a preassigned time, despite each node measuring only a small portion of the systems output. Detailed discussions on the existence conditions of the DPTUIO are provided. It is established that the observer matching condition, along with the jointly strongly observability condition and a strongly connected communication network, constitutes sufficient conditions for the existence of the DPTUIO. Moreover, the robustness of the developed DPTUIO against measurement and communication noise is analyzed in detail with rigorous deduction. Finally, a practical example is used to verify the effectiveness of the proposed methods.
引用
收藏
页码:4743 / 4750
页数:8
相关论文
共 27 条
[1]   Homogeneous approximation, recursive observer design, and output feedback [J].
Andrieu, Vincent ;
Praly, Laurent ;
Astolfi, Alessandro .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (04) :1814-1850
[2]   Distributed estimation for nonlinear systems [J].
Battilotti, Stefano ;
Mekhail, Matteo .
AUTOMATICA, 2019, 107 :562-573
[3]   UNKNOWN INPUT AND STATE ESTIMATION FOR UNOBSERVABLE SYSTEMS [J].
Bejarano, Francisco J. ;
Fridman, Leonid ;
Poznyak, Alexander .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (02) :1155-1178
[4]   Distributed Unknown Input Observer [J].
Cao, Ganghui ;
Wang, Jinzhi .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (12) :8244-8251
[5]   Sliding mode based prescribed-time consensus tracking control of second-order multi-agent systems [J].
Cui, Bing ;
Wang, Yujuan ;
Liu, Kun ;
Xia, Yuanqing .
AUTOMATICA, 2023, 158
[6]   A continuous-time observer which converges in finite time [J].
Engel, R ;
Kreisselmeier, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) :1202-1204
[7]   Fixed-Time Convergent Distributed Observer Design of Linear Systems: A Kernel-Based Approach [J].
Ge, Pudong ;
Li, Peng ;
Chen, Boli ;
Teng, Fei .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (08) :4932-4939
[8]   A Simple Approach to Distributed Observer Design for Linear Systems [J].
Han, Weixin ;
Trentelman, Harry L. ;
Wang, Zhenhua ;
Shen, Yi .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (01) :329-336
[9]   Completely Decentralized Design of Distributed Observer for Linear Systems [J].
Kim, Taekyoo ;
Lee, Chanhwa ;
Shim, Hyungbo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (11) :4664-4678
[10]   Theory and practice for autonomous formation flight of quadrotors via distributed robust sliding mode control protocol with fixed-time stability guarantee [J].
Mechali, Omar ;
Xu, Limei ;
Xie, Xiaomei ;
Iqbal, Jamshed .
CONTROL ENGINEERING PRACTICE, 2022, 123