Dissipativity inequalities for continuous-time descriptor systems with applications to synthesis of control gains

Systems and Control Letters

Volumn 55, Issue 2, 2006, Pages 158-164

  Masubuchi, Izumi ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Descriptor systems; Dissipativity; LMIs

Indexed keywords

CONTROL THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; SYSTEM THEORY; SYSTEMS SCIENCE;

CONTROL GAINS; DESCRIPTOR SYSTEMS; DISSIPATIVITY; LMI;

CONTROL SYSTEMS;

EID: 28544435101     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.06.007     Document Type: Article

References (14)

1. B.D.O. Anderson A system theory criterion for positive real matrices SIAM J. Control 5 1967 171 182
2. R.W. Freund, and F. Jarre An extension of the positive real lemma to descriptor systems Optimization Methods and Software 18 2004 69 87
3. T. Iwasaki, S. Hara, Generalized KYP lemma: unified characterization of frequency domain inequalities with applications to system design. Mathematical Engineering Technical Reports, Graduate School of Information Science and Technology, the University of Tokyo, METR 2003-27. http://www.keisu.t.u-tokyo. ac.jp/Research/METR/2003/METR03-27.pdf, 2003.
4. F.L. Lewis A survey of linear singular systems Circuits Systems Signal Process. 5 1 1986 3 36
5. I. Masubuchi, Dissipativity inequality for continuous-time descriptor systems: a realization-independent condition, Proceedings of the IFAC Symposium on Large Scale Systems, 2004, pp. 417-420.
6. I. Masubuchi, Y. Kamitane, A. Ohara, and N. Suda H ∞ control for descriptor systems: a matrix inequalities approach Automatica 33 4 1997 669 673
7. A. Rantzer On the Kalman-Yakubovich-Popov lemma Systems Control Lett. 28 1996 7 10
8. A. Rehm, and F. Allgöwer Self-scheduled H ∞ output feedback control of descriptor systems Computers and Chemical Engineering 24 2000 279 284
9. K. Takaba, N. Morihira, T. Katayama, H ∞ control for descriptor systems - A J-spectral factorization approach, in: Proceedings of the 33rd Conference on Decision and Control, 1994, pp. 2251-2256.
10. K. Takaba, N. Morihira, and T. Katayama A generalized Lyapunov theorem for descriptor system Systems Control Lett. 24 1995 49 51
11. E. Uezato, M. Ikeda, Strict condition for stability, robust stabilization, H ∞ control of descriptor systems, in: Proceedings of the 38th Conference on Decision and Control, 1999, pp. 4092-4097.
12. H.-S. Wang, C.-F. Yung, and F.-R. Chang Bounded real lemma and H ∞ control for descriptor systems IEE Proceedings D: Control Theory and Applications 145 1998 316 322
13. J.C. Willems Least squares stationary optimal control and the algebraic Riccati equation IEEE Trans. Automat. Control 16 6 1971 621 634
14. L. Zhang, J. Lam, and S. Xu On positive realness of descriptor systems IEEE Trans. Circuits and Systems I 49 2002 401 407