Abstract:
In this paper control of high index or even non-regular linear descriptor systems subject to general quadratic constraints is considered. This setup especially includes t...Show MoreMetadata
Abstract:
In this paper control of high index or even non-regular linear descriptor systems subject to general quadratic constraints is considered. This setup especially includes the H∞ control problem and the design for strict passivity. In a previous paper [9] this problem was addressed by a linearizing change of variables approach under a certain assumption on the structure of the algebraic equations within the system description. This restriction is overcome in the paper at hand. By means of a modified linearizing change of variables approach the synthesis conditions (given as linear matrix inequalities (LMIs)) not only become structurally simpler, but, in contrast to [9], also include the case without algebraic constraints. The approach is constructive: controller parameterizations can be computed on the basis of the solution of the LMI synthesis conditions.
Published in: 2001 European Control Conference (ECC)
Date of Conference: 04-07 September 2001
Date Added to IEEE Xplore: 27 April 2015
Print ISBN:978-3-9524173-6-2
References is not available for this document.
Contents Select All
1.
L. Dai. Singular Control Systems, volume 118 of Lecture Notes in Control and Information Sciences. Springer, Berlin, 1989.
2.
P. Gahinet, A. Nemirowskii, A.J. Laub, and M. Chilali. The LMI control toolbox. In Proc. 33rd IEEE Conf. Decision Contr., pages 2038–2041, Lake Buena Vista, FL, 1994.
3.
A. Kumar and P. Daoutidis Control of nonlinear differential algebraic equation systems: An overview. In C. Kravaris R. Berber, editor, Nonlinear Model Based Process Control, Nato ASI Series E, Vol. 353, pages 311–344. Kluwer Academics, 1998.
4.
F. L. Lewis. A tutorial on the geometric analysis of linear time-invariant implicit systems. Automatica, 28 ( 1 ): 119–137, 1992.
5.
D. J. Luenberger. Nonlinear descriptor systems. J. Economics Dynamics and Control, 1 219–242, 1979.
6.
I. Masubuchi, Y. Kamitane, A. Ohara, and N. Suda. H∝ control for descriptor systems: A matrix inequalities approach. Automatica, 33 ( 4 ): 669–673, 1997.
7.
P. C. Muller Optimal control of descriptor systems. In E.P. Hofer, editor, The 7th German-Japanse Seminar on Nonlinear Problems in Dynamical Systems-Theory and Applications, pages 41–54. Universitat Ulm, 1996.
8.
A. Rehm. Control of Descriptor Systems: An Inequality Approach. PhD thesis, Universität Stuttgart, 2000.
9.
A. Rehm and F. Allgöwer. An LMI approach towards general quadratic performance analysis and synthesis of descriptor systems. In American Control Conference, San Diego, CA, June 2-4, pages 1299–1303, 1999.
10.
A. Rehm and F. Allgöwer. An LMI approach towards H∝ control of descriptor systems. In IFAC International Symposium on Advanced Control of Chemical Processes (AD-CHEM 2000), June 14-16, Pisa, Italy, volume 1, pages 57–62 2000.
11.
C. W. Scherer, P. Gahinet, and M. Chilali. Multiobjective output-feedback control via LMI op-timization. IEEE Trans. Automat. Contr., AC-42 ( 7 ): 896–911, 1997.
12.
R. Schüpphaus. Regelungstechnische Analyse und Synthese von Mehrkörpersystemen in Deskriptorform. Fortschr. -Ber. VDI Reihe 8 Nr. 478, VDI Verlag, Düsseldorf 1995.
