References
Ham F M, Brown R G. Observability, eigenvalues, and Kalman filtering. IEEE Trans Aerosp Electron Syst, 1983, 19: 269–273
Dong J, Mo B. The method of system observability analysis using pseudo-inverse of system observability matrix. In: Proceedings of the 32nd Chinese Control Conference, Xi’an, 2013. 55–59
Rotella F, Zambettakis I. A note on functional observability. IEEE Trans Automat Contr, 2016, 61: 3197–3202
Bianchin G, Frasca P, Gasparri A, et al. The observability radius of networks. IEEE Trans Automat Contr, 2017, 62: 3006–3013
William L B. Modern Control Theory. 3rd ed. Upper Saddle River: Prentice Hall, 1990
Zeng S, Ishii H, Allgower F. Sampled observability and state estimation of linear discrete ensembles. IEEE Trans Automat Contr, 2017, 62: 2406–2418
Ge Q, Ma J, Chen S, et al. Observable degree analysis to match estimation performance for wireless tracking networks. Asian J Control, 2017, 19: 1259–1270
Ma Y, Hu J. Counter examples for degree of obervarbility analysis method based on SVD theory. J Chin Interial Tech, 2008, 16: 448–452
Shuai P, Chen D, Jiang Y. Observable degree analysis method of integrated GPS/SINS navigation system. J Astronaut, 2004, 25: 219–224
Acknowledgements
This work was supported by Zhejiang Provincial Natural Science Foundation (Grant No. LR17F030005), National Natural Science Foundation of China (Grant Nos. 61773147, U1509203), and Open Project Program of the State Key Laboratory of Management and Control for Complex System in 2017.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ge, Q., Zhuo, P., He, H. et al. SVD based scale transform invariant observable degree for LTI system. Sci. China Inf. Sci. 64, 139205 (2021). https://doi.org/10.1007/s11432-018-9886-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-018-9886-8