References
Kokotović P V, Khalil H K, O’Reilly J. Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986
O’Reilly J. Full-order observers for a class of singularly perturbed linear time-varying systems. Int J Control, 1979, 30: 745–756
Zou C, Manzie C, Nešić D, et al. Multi-time-scale observer design for state-of-charge and state-of-health of a lithium-ion battery. J Power Sources, 2016, 335: 121–130
Gao Y B, Luo W S, Liu J X, et al. Integral sliding mode control design for nonlinear stochastic systems under imperfect quantization. Sci China Inf Sci, 2017, 60: 120206
Javid S H. Observing the slow states of a singularly perturbed system. IEEE Trans Automat Contr, 1980, 25: 277–280
Kazantzis N, Huynh N, Wright R A. Nonlinear observer design for the slow states of a singularly perturbed system. Comput Chem Eng, 2005, 29: 797–806
Demetriou M A, Kazantzis N. Natural observer design for singularly perturbed vector second-order systems. J Dyn Sys Meas Control, 2005, 127: 648–655
Abdelrahim M, Postoyan R, Daafouz J. Eventtriggered control of nonlinear singularly perturbed systems based only on the slow dynamics. Automatica, 2015, 52: 15–22
Shen H, Li F, Xu S Y, et al. Slow state variables feedback stabilization for semi-Markov jump systems with singular perturbations. IEEE Trans Automat Contr, 2018, 63: 2709–2714
Acknowledgments
This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61573111, 61633011) and Guangxi Natural Science Foundation (Grant No. 2018JJD170015).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Y., Chen, WH. & Lu, X. Slow state estimation for singularly perturbed systems with discrete measurements. Sci. China Inf. Sci. 64, 129202 (2021). https://doi.org/10.1007/s11432-018-9657-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-018-9657-3