Abstract
In this chapter, some results on the state estimation of impulsive systems have been conducted. This problem is rarely tackled for this class of systems by researchers and they have designed an observer in the case of autonomous impulsive linear systems. Indeed, only E. A. Medina considered in [1], and [2] an observer in the case of autonomous impulsive linear systems, under the condition of strong observability.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Medina, E.A.: Linear impulsive control systems: a geometric approach. Ph.D. thesis, Ohio University, School of Electrical Engineering and Computer Science (2007)
Medina, E.A., Lawrence, D.A.: State estimation for linear impulsive systems. ACC’09. In: Proceedings of the 2009 Conference on American Control Conference (2009)
Liu, X.: Stability of impulsive control systems with time delay. Math. Comput. Model. 39, 511–519 (2004)
Teel, A.R.: Robust hybrid control systems: an overview of some recent results. In: Lect. Notes Control Inf. Sci. 353, 279–302 (2007)
Yuan, R., Jing, Z., Chen, L.: Uniform asymptotic stability of hybrid dynamical systems with delay. IEEE Trans. Autom. Control 48(2), 344–348 (2003)
Ellouze, I., Vivalda, J.C., Hammami M.A.: A separation principle for linear impulsive systems. Eur J Control, 20, 105–110 (2014)
Gauthier, J.P., Bornard, G.: Observability for any u(t) of a class of nonlinear systems. IEEE Trans. Autom. Control 26(4), 922-926 (1981)
Guan, Z.H., Qian, T.H., Yu, X.: On controllability and observability for a class of impulsive systems. Syst. Control Lett. 47(3), 247–257 (2002)
Medina, E.A., Lawrence, D.A.: Reachability and observability of linear impulsive systems. Automatica 44(5), 1304–1309 (2008)
Xie, G., Wang, L.: Controllability and observability of a class of linear impulsive systems. J. Math. Anal. Appl. 304(1), 36–355 (2005)
Zhaoa, S., Sun, J.: Controllability and observability for a class of time-varying impulsive systems. Nonlinear Anal. Real World Appl. 10(3), 1370–1380 (2009)
Misawa, E.A., Hedrick, J.K.: Nonlinear observers-a state of the art survey. J. Dyn. Syst. Meas. Control 111, 344–352 (1989)
Walcott, B.L., Corless, M.J., Zak, S.K.: Comparative study of nonlinear state obser- vation techniques. Int. J. Control 45(6), 2109–2132 (1987)
Imen Ellouze. Etude de la stabilité et de la stabilisation des systèmes à retard et des systèmes impulsifs. Optimisation et contrôle [math.OC]. Université Paul Verlaine - Metz; Université de Sfax, 2010. Français
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ghanmi, B. (2022). Luenberger Observer of Impulsive Systems: A Survey. In: Naifar, O., Ben Makhlouf, A. (eds) Advances in Observer Design and Observation for Nonlinear Systems. Studies in Systems, Decision and Control, vol 410. Springer, Cham. https://doi.org/10.1007/978-3-030-92731-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-92731-8_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92730-1
Online ISBN: 978-3-030-92731-8
eBook Packages: EngineeringEngineering (R0)