Strong Structural Input and State Observability of LTV Network Systems with Multiple Unknown Inputs

作者: Sebin Gracy , Federica Garin , Alain Y. Kibangou

DOI: 10.1016/J.IFACOL.2017.08.1496

关键词:

摘要: This paper studies linear time-varying (LTV) network systems affected by multiple unknown inputs. The goal is to reconstruct both the initial state and input. main result a characterization of strong structural input observability, i.e., conditions under which whole can be reconstructed for all system matrices that share common zero/non-zero pattern. in terms observability suitably-defi ned time-invariant (LTI) subsystem.

参考文章(13)
Maguy Trefois, Jean-Charles Delvenne, Zero forcing number, constrained matchings and strong structural controllability Linear Algebra and its Applications. ,vol. 484, pp. 199- 218 ,(2015) , 10.1016/J.LAA.2015.06.025
R. Kalman, On the general theory of control systems Ire Transactions on Automatic Control. ,vol. 4, pp. 110- 110 ,(1959) , 10.1109/TAC.1959.1104873
Peter K. Kitanidis, Unbiased minimum-variance linear state estimation Automatica. ,vol. 23, pp. 775- 778 ,(1987) , 10.1016/0005-1098(87)90037-9
Fabio Pasqualetti, Florian Dorfler, Francesco Bullo, Control-Theoretic Methods for Cyberphysical Security: Geometric Principles for Optimal Cross-Layer Resilient Control Systems IEEE Control Systems Magazine. ,vol. 35, pp. 110- 127 ,(2015) , 10.1109/MCS.2014.2364725
Yao Liu, Peng Ning, Michael K. Reiter, False data injection attacks against state estimation in electric power grids ACM Transactions on Information and System Security. ,vol. 14, pp. 13- ,(2011) , 10.1145/1952982.1952995
Hirokazu Mayeda, Takashi Yamada, Strong Structural Controllability SIAM Journal on Control and Optimization. ,vol. 17, pp. 123- 138 ,(1979) , 10.1137/0317010
T. Boukhobza, F. Hamelin, S. Martinez-Martinez, Brief paper: State and input observability for structured linear systems: A graph-theoretic approach Automatica. ,vol. 43, pp. 1204- 1210 ,(2007) , 10.1016/J.AUTOMATICA.2006.12.004
Sze Zheng Yong, Minghui Zhu, Emilio Frazzoli, A unified filter for simultaneous input and state estimation of linear discrete-time stochastic systems Automatica. ,vol. 63, pp. 321- 329 ,(2016) , 10.1016/J.AUTOMATICA.2015.10.040
Chien-Shu Hsieh, Robust two-stage Kalman filters for systems with unknown inputs IEEE Transactions on Automatic Control. ,vol. 45, pp. 2374- 2378 ,(2000) , 10.1109/9.895577