Peak-to-peak gain minimization for uncertain linear discrete systems: A matrix inequality approach

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 33, Issue 7, 2007, Pages 753-756

  Ji, Xiao Fu ^a,b   Su, Hong Ye ^a   Chu, Jian ^a  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b JIANGSU UNIVERSITY   (China)

Author keywords

Peak to peak gain; Robust control; Uncertain linear discrete system

Indexed keywords

CLOSED LOOP SYSTEMS; CONTROL EQUIPMENT;

MATRIX INEQUALITY; PEAK TO PEAK GAIN; UNCERTAIN LINEAR DISCRETE SYSTEM;

ROBUST CONTROL;

EID: 34547979511     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.1360/aas-007-0753     Document Type: Article

References (9)

1. Vidyasagar M. Optimal rejection of persistent bounded disturbances. IEEE Transactions on Automatic Control, 1986, 31(6): 527-534.
2. 1 optimal controllers can be dynamic. Systems and Control Letters, 1992, 19(2): 87-93.
3. Diaz-Bobillo I J. The General L1 Optimal Multiblock Problem: Exact and Approximate Solutions [Ph. D. dissertation], Massachusetts Institute of Technology, 1992.
4. Bamieh B A, Dahleh M A, Pearson J B. Minimization of the L1-induced norm for sampled-data systems. IEEE Transactions on Automatic Control, 1993, 38(5): 717-732.
5. Dahleh M A, Pearson J B. Optimal rejection of persistent disturbances, robust stability and mixed sensitivity minimization. IEEE Transactions on Automatic Control, 1988, 33(8): 721-733.
6. Dahleh M A, Ohta Y. A necessary and sufficient condition for robust BIBO stability. Systems and Control Letters, 1988, 11(4): 271-275.
7. Abedor J, Nagpal K, Poolla K. A linear matrix inequality approach to peak-to-peak gain minimization. International Journal of Robust and Nonlinear Control, 1996, 6(9-10): 899-927.
8. Petersen I R. A stabilization algorithm for a class of uncertain linear systems. Systems and Control Letters, 1987, 8(4): 351-357.
9. Boyd S, Ghaoui L E, Feron E, Balakrishnan V. Linear matrix inequalities in system and control theory. SIAM Philadelphia, Philadelphia, PA: SIAM, 1994.