Abstract
In this paper, passive analysis and control are discussed for descriptor systems. By means of linear matrix inequality (LMI), the conditions for the system to be admissible and passive with dissipation η are proposed in the cases of state feedback control and observer-based feedback control. To obtain the maximum dissipation, the design procedures are given respectively. Simulation examples are given to show the validity and applicability of the proposed methods.
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.
References
Chen, X.R., Liu, C.X.: Passive control on a unified chaotic system. Nonlinear Analysis: Real World Applications 11, 683–687 (2010)
Castanos, F., Ortega, R.: Energy-balancing passivity-based control is equivalent to dissipation and output invariance. Systems & Control Letters 58, 553–560 (2009)
Yang, C.Y., Zhang, Q.L., Zhou, L.N.: Strongly absolute stability problem of descriptor systems: Circle criterion. Journal of the Franklin Institute 345, 437–451 (2008)
Camlibel, M.K., Frasca, R.: Extension of Kalman-Yakubovich-Popov lemma to descriptor systems. Systems & Control Letters 12, 795–803 (2009)
Virnik, E.: Stability analysis of positive descriptor systems. Linear Algebra and its Applications 429, 2640–2659 (2008)
Dong, X.Z., Zhang, Q.L., Guo, K.: Passive control for singular systems with time-varying uncertainties. Control Theory & Application 21(4), 517–520 (2004) (in Chinese)
Dong, X.Z., Zhang, Q.L.: Passive control of linear singular systems via output feedback. Journal of Northeastern University (Natural Science) 25(4), 310–313 (2004) (in Chinses)
Chen, F.X., Zhang, W.D., Wang, W.: Robust passive control for uncertain singular systems with state delay. In: Proceedings of 2006 American Control Conference, Minneapolis, Minnesota, USA, June 14-16, pp. 1535–1538 (2006)
Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia (1994)
Uang, H.J.: On the dissipativity of nonlinear systems: fuzzy control approach. Fuzzy Sets and Systems 156, 185–207 (2005)
Liu, F., Su, H.Y., Chu, J.: Synthesis of guaranteed dissipation controller for uncertain time-delay systems. In: Proceedings of the IEEE Conference on Decision and Control, Orlando, Florida, USA, pp. 3216–3217 ( December 2001)
Masubuchi, I., Kamitane, Y., Ohara, A., Suda, N.: H ∞ control for descriptor systems: a matrix inequalities approach. Automatica 33(4), 669–673 (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ding, C., Li, Q., Zhang, Y. (2010). Passive Analysis and Control for Descriptor Systems. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_62
Download citation
DOI: https://doi.org/10.1007/978-3-642-16336-4_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16335-7
Online ISBN: 978-3-642-16336-4
eBook Packages: Computer ScienceComputer Science (R0)