Browse > Article

Optimal Guaranteed Cost Control of Linear Uncertain Systems with Input Constraints  

Yu Li (Department of Automation, Zhejiang University of Technology)
Han Qing-Long (Faculty of Informatics and Communication, Central Queensland University)
Sun Ming-Xuan (Department of Automation, Zhejiang University of Technology)
Publication Information
International Journal of Control, Automation, and Systems / v.3, no.3, 2005 , pp. 397-402 More about this Journal
Abstract
The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainties and input constraints is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure to guaranteed cost controllers is given. Furthermore, a convex optimization problem is formulated to determine the optimal guaranteed cost controller. An example is given to illustrate the effectiveness of the proposed results.
Keywords
Guaranteed cost control; input constraints; LMI; uncertain systems;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 8
연도 인용수 순위
1 S. S. L. Chang and T. K. C. Peng, 'Adaptive guaranteed cost control of systems with uncertain parameters,' IEEE Trans. on Automatic Control, vol. 17, no. 4, pp. 474-483, April 1972   DOI
2 D. S. Bernstein and W. M. Haddad, 'Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds,' Math. Contr. Signals and Systems, vol. 3, no. 2, pp. 139-163, June 1990   DOI
3 I. R. Petersen and D. C. McFarlane, 'Optimal guaranteed cost control and filtering for uncertain linear systems,' IEEE Trans. on Automatic Control, vol. 39, no. 9, pp. 1971-1977, September 1994   DOI   ScienceOn
4 L. Yu and F Gao, 'Optimal guaranteed cost control of discrete-time uncertain systems with both state and input delays,' Journal of the Franklin Institute, vol. 338, no. 1, pp. 101-110, January 2001   DOI   ScienceOn
5 L. Yu and J Chu, 'An LMI approach to guaranteed cost control of linear uncertain timedelay systems,' Automatica, vol. 35, no. 6, pp. 1155-1159, June 1999   DOI   ScienceOn
6 I. R. Petersen, D. C. McFarlane, and M. A. Rotea, 'Optimal guaranteed cost control of discrete-time uncertain linear systems,' International Journal of Robust & Nonlinear Control, vol. 8, no. 7, pp. 649-657, July 1998   DOI   ScienceOn
7 L. Yu, G. Chen, and M Yang, 'Optimal guaranteed cost control of linear uncertain systems: LMI approach,' Proc. of the 14th IFAC World Congress, vol. G, pp. 541-546, 1999
8 I. R. Petersen, 'A stabilization algorithm for a class of uncertain systems,' Systems & Control Letters, vol. 8, no. 3, pp. 181-188, 1987   DOI   ScienceOn
9 B. R. Barmish, 'Stabilization of uncertain systems via linear control,' IEEE Trans. on Automatic Control, vol. 28, no. 3, pp. 848-850, March 1983   DOI
10 P. P. Khargonekar, I. R. Petersen, and K. Zhou, 'Robust stabilization of uncertain linear systems: Quadratic stabilizability and $H_{\infty}$ control theory,' IEEE Trans. on Automatic Control, vol. 35, no. 3, pp. 356-361, March 1990   DOI   ScienceOn
11 A. Fishman, J. M. Dion, L. Dugard, and A. T. Neto, 'A linear matrix inequality approach for guaranteed cost control,' Proc. of the 13th IFAC World Congress, pp. 197-202, 1996