Abstract
The concept of finite-time boundedness for linear discrete singular system is induced in this paper. Finite-time control problem is considered for linear discrete singular systems with exogenous disturbances, of which the disturbance satisfies a dynamical system. By Lyapunov functional method and linear matrix inequality (LMI) technique, the sufficient conditions of finite -time boundedness (FTB) via state feedback controller for linear discrete singular systems are provided. Then, the conditions are translated to feasibility problems involving restricted linear matrix inequalities (LMIs). Finally, an example is given showing the effectiveness of the proposed method.
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
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Dorato, P.: Short time stability in linear time-varying systems. In: Schrank, H.E. (ed.) IRE International Convention Record, Part 4., pp. 83–87. The Institute of Radio Engineers, Incopcrated, New York (1961)
Amato, F., Ariola, M., Abdallah, C.T., et al.: Dynamic output feedback finite-time control of LTI systems subject to parametric uncertainties and disturbances. In: Proc. European Control Conference, pp. 1176–1180. Springer, Berlin (1999)
Amato, F., Ariola, M., Dorato, P.: Finite-time control of linear systems subject to parameteric uncertainties and disturbances. Automatica 37, 1459–1463 (2001)
Amato, F., Ariola, M.: Finite-time control of discrete-time linear system. IEEE Trans on Automatic Control 50(5), 724–729 (2005)
Amato, F., Ariola, M., Dorato, P.: Finite-time stabilization via dynamic output feedback. Automatic 42, 337–342 (2006)
Feng, J.-E., Wu, Z., Sun, J.: Finite-time control of linear singular systems with parametric uncertainties and disturbances. Acta Automatica Sinica 31(4), 634–637 (2005)
Sun, J., Cheng, Z.: Finite-Time Control for One Kind of Uncertain Linear Singular Systems Subject to Norm Bounded Uncertainties. In: Proceedings of the 5th World Congress on Intelligent Control and Automation, vol. 6, pp. 980–984. Zhejiang University Press, Hangzhou (2004)
Sun, J., Cheng, Z.: Finite-time control for one kind of uncertain linear singular systems. Journal of Shandong University: Natural Science 39(2), 1–6 (2004)
Yang, D., Zhang, Q., Yao, B.: Descriptor Systems. Science Press, Beijing (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lin, Y., An, F. (2011). Finite-Time Control of Linear Discrete Singular Systems with Disturbances. In: Jin, D., Lin, S. (eds) Advances in Multimedia, Software Engineering and Computing Vol.1. Advances in Intelligent and Soft Computing, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25989-0_91
Download citation
DOI: https://doi.org/10.1007/978-3-642-25989-0_91
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25988-3
Online ISBN: 978-3-642-25989-0
eBook Packages: EngineeringEngineering (R0)