Robust stability analysis of generalized interval systems using a structured singular value

International Journal of Systems Science

Volumn 29, Issue 2, 1998, Pages 199-206

  Lin, J L ^a   Chen, S J ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY;

GENERALIZED INTERVAL SYSTEMS; STRUCTURED SINGULAR VALUE;

CONTROL SYSTEM ANALYSIS;

EID: 0032002242     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729808929512     Document Type: Article

References (19)

1. Balas, G. J., Doyle, J. C., Glover, K., Packard, A., and Smith, R., 1993, μ-Analysis and Synthesis Toolbox (Natick, MA: Musyn and The Math Works).
2. Dai, L., 1989, Singular Control Systems. Lecture Notes in Control and Information Sciences, Vol. 118 (Berlin: Springer-Verlag).
3. Doyle, J. C., 1982, Analysis of control systems with structured uncertainties. IEE Proceedings, Part D, 133, 242-250;
4. Doyle, J. C., 1987, A review of μ for case studies in robust control. I FAC 10th World Congress on Automatic Control, Munich, 395-402.
5. Doyle, J. C., Packard, A., and Zhou, K., 1991, Review of LFTs, LMIs and;i. Proceedings of the 30th IEEE Conference on Decision and Control, pp. 1227-1232.
6. Doyle, J. C., Wall, J. E., and Stein, G., 1982, Performance and robustness analysis for structured uncertainty. Proceedings of the list IEEE Conference on Decision and Control, pp. 629-636
7. Fang, C. H., and Chang, F. R., 1993, Analysis of stability robustness for generalized state-space systems with structured perturbations. Systems and Control Letters, 21, 109-114
8. Fang, C. H., Lee, L., and Chang, F. R., 1994, Robust control analysis and design for discrete-time singular systems. Aulomatica, 30, 1731-1750.
9. Garofalo, F., Celentano, G., and Glielmo, L., 1994, Stability robustness of interval matrices via Lyapunov quadratic forms. IEEE Transactions on Automatic Control, 38, 281-284.
10. Lewis, F. L., 1986, A survey of linear singular systems. Journal of Circuits, System and Signal Processing, 5, 3-36.
11. Moore, R. E., 1966, Interval Analysis (Englewood Cliffs, NJ: Prentice-Hall).
12. Mansour, M., 1989, Robust stability of interval matrices. Proceedings of the 28th IEEE Conference on Decision and Control, pp. 46-51.
13. Qiu, L., and Davison, E. J., 1992, The stability robustness of generalized eigenvalues. IEEE Transactions on Automatic Control, 37, 886-891.
14. Redheffer, R., 1959, Inequalities for a matrix Riccati equation. Journal of Mathematics and Mechanics, 8, (3).
15. Sezer, M. E., and Siljak, D. D., 1994, On stability of interval matrices. IEEE Transactions on Automatic Control, 39, 368-371.
16. Verghese, G. C., Levy, B. C., and Kailath, T., 1981, A generalized state-space for singular systems. IEEE Transactions on Automatic Control, 26, 811-831.
17. Wang, K., Michel, A. N., and Liu, D., 1994, Necessary and sufficient conditions for Hunvitz and Schur stability of interval matrices. IEEE Transactions on Automatic Control, 39, 1251-1255.
18. Young, P. M., Newlin, M. P., and Doyle, J. C., 1991, μ analysis with real parametric uncertainty. Proceedings of the 30th IEEE Conference on Decision and Control, pp. 1251-1256;
19. Young, P. M., Newlin, M. P., and Doyle, J. C., 1992, Practical computation of the mixed μ problem. Proceedings of the American Control Conference, pp. 2190-2194.