IJSER Home >> Journal >> IJSER
International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 4    
Website: http://www.ijser.org
scirp IJSER >> Volume 2, Issue 4, April 2011 Edition
Robust Impulse Eliminating Internal Model Control of Singular Systems
Full Text(PDF, 3000)  PP.  
Author(s)
M.M. Share Pasand, H.D. Taghirad
KEYWORDS
singular systems, Impulsive behavior, internal model control, Model based control, robust control, tracking problem, impulse elimination.
ABSTRACT
The problem of model based internal control of singular systems is investigated and the limitations of directly extending the control schemes for normal systems to singular ones were analyzed in this paper. A robust approach is proposed in order to establish the control scheme for singular systems, and moreover, to present a framework for robust control of singular systems in presence of modeling uncertainties. The theory is developed through a number of theorems, and several simulation examples are included and their physical interpretations are given to verify the proof of concept.
References
[1] Mertzios, B.G. and F. Lewis, “Fundamental matrix of discrete singular systems”, Journal of circuits, systems and signal processing, vol.8, NO.3, 1989.

[2] Dai, L. “Singular control systems”, Springer verlag, 1989.

[3] Campbell, S.L, R. Nikoukhah and B.C. Levy, “Kalman filtering for general discrete time linear systems”, IEEE transactions on automatic control, vol.44, NO.10, pp. 1829-1839,1999.

[4] Luenberger, D. “Dynamic equations in descriptor form”,IEEE transactions on automatc control, vol.AC.22, NO.3, June, 1977

[5] Syrmos, V.L. and F.L. Lewis, “Robust eigen value assignment in generalized systems”Proceedings of the 30th conference on decision and control, England, 1991.

[6] Fang, C.H., L.Lee and F.R. Chang, “Robust control analysis and design for discrete time singular systems”, Automatica, Vol.30, NO.11, pp.1741- 1750, 1994.

[7] Xu, S. , C. Yang, Y. Neu and J. Lam, “Robust stabilization for uncertain discrete singular systems”, Automatica, Vol.37, pp.769-774, 2001.

[8] Mukundan, R. and W. Dayawansa, “Feedback control of singular systems- proportional and derivative feedback of the state”, International journal of systems science, vol.14, NO.6, pp.615-632, 1983.

[9] Chu, D.L., H.C. Chan and D.W. Ho, “ Regularization of singular systems by derivative and proportional output feedback”, Siam journal of matrix nalysis and applications, vol.19, NO.1, pp.21-38, January, 1998.

[10] Xu, S. and J. Lam, ” Robust stability and stabilization of discrete singular systems: An equivalent characterization”, IEEE transaction on automatic control, vol.49, NO.4, April 2004.

[11] Hou, M. “Controllability and elimination of impulsive modes in descriptor systems”, IEEE transactions on automatic control, vol.49, NO.10, 2004.

[12] Morari, M. and E. Zafiriou, “Robust process control”, Prentice Hall, 1989.

Untitled Page