The quadratic stability of a discrete-timesystem with structured uncertainties

International Journal of Control

Volumn 72, Issue 16, 1999, Pages 1427-1435

  Li, Yangchun ^a   Xu, Xiaoming ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DYNAMIC PROGRAMMING; MATRIX ALGEBRA; PROBLEM SOLVING; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES (LMI); QUADRATIC STABILITY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0033364185     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071799220083     Document Type: Article

References (16)

1. Apakarian, P., 1997, On the discretization of LMI-synthe-sized linear parameter-varying controllers. Automatica, 33, 655-661.
2. Doyle, J. C., Packard, A., and Zhou, K., 1991, Review of LFTs, LMIs and . Proceedings of the Conference on Decision and Control, Brighton, UK, pp. 1227-1232.
3. Gahinet, P., Nemirovskii, A., Laub, A. J., and Chilali, M., 1994, The LMI control Toolbox. Proceedings of the Conference on Decision and Control, pp. 2038-2041.
4. Garcia, G. Bernussou, J., and Arzelier, D., 1994, Robust stabilization of discrete-time linear system with norm-bounded time-varying uncertainty, System &Control Letters, 22, 327-339.
5. 1-norm model predictive control. AIChE, 39, 1954-1965.
6. Iwasaki, T, and Skelton, R. E., 1993, A complete solution to the general H control problem: LMI existence conditions and state space formulas. Proceedings of the American Control Conference, pp. 605-609.
7. Iwasaki, T, and Skelton, R. E., 1994, All controllers for the general H control problem: LMI existence conditions and state space formulas, Automatica, 30, 1307-1317.
8. Kqin, G., Zohdy, M. A., and Loh, N. K., 1990, Necessary and sufficient conditions of quadratic stability of uncertain linear system. IEEE Transactions on Automatic Control, 35, 601-604.
9. Khargoneckar, P. P., Petersen, I. R., and Zhou, K., 1990, Robust stabilization of uncertain linear systems: quadratic stabilizablity and H control theory. IEEE Transactions on Automatic Control, 30, 356-361.
10. Kothare, M. V., Balakrishnan, V., and Morari, M., 1996, Robust constrained model predictive control using linear matrix inequalities. Automatica, 32, 1361-1379.
11. Kwakernaak, H., and Sivan, R., 1972, Linear Optimal Control Systems (New York: Wiley-Interscience).
12. Lee, J. H., 1996, Quadratic stability and stabilization of linear system with Forbenium norm-bounded uncertainties. IEEE Transactions on Automatic Control, 41, 453-456.
13. Nemirovskii, A., and Gahinet, P., 1994, The projective method for solving linear matrix inequalities. Proceedings of the American Conference, Baltimore, pp. 840-844.
14. Nicolao, G. D., MAgNi, L., and Scattolini, R., 1996, On the robustness of receding-horizon control with terminal constraints. IEEE Transactions on Automatic Control, 41, 451-453
15. Packard, A., Zhou, K., Pandey, P., and Becker, G., 1991, A collection of robust control problems leading to LMIs. Proceedings of the Conference on Decision and Control, Brighton, UK, pp. 1245-1250.
16. Petersen, I. R., PiCKERiNg, M. R., 1996, An algorithm for the quadratic stabilization of uncertain system with structured uncertainty of One-Block type. Dynamics and Control, 6, 111-130.