Filter design for feedback-loop trade-off of L1 adaptive controller: A linear matrix inequality approach

AIAA Guidance, Navigation and Control Conference and Exhibit

Volumn , Issue , 2008, Pages

  Li, Dapeng ^a,d   Hovakimyan, Naira ^a,d   Cao, Chengyu ^b,d   Wise, Kevin A ^c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF CONNECTICUT   (United States)

^c BOEING COMPANY   (United States)

^d Department of Mechanical Science and Engineering ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONVEX OPTIMIZATION; ECONOMIC AND SOCIAL EFFECTS; LINEAR MATRIX INEQUALITIES;

ADAPTIVE CONTROLLERS; CONVEX OPTIMIZATION METHODS; DELAY MARGIN; FEED-BACK LOOP; FILTER DESIGNS; LINEAR MATRIX INEQUALITY APPROACH; TRADE OFF;

FEEDBACK;

EID: 78651081760     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-6280     Document Type: Conference Paper

References (14)

1. 1 Adatpive Control Architecture with Guaranteed Transient Performance," IEEE Transactions on Automatic Control, Vol. 53, 2008, pp. 586-591. (Pubitemid 351493897)
2. 1 Adatpive Output Feedback Controller for Systems of Unknown Dimension," IEEE Transactions on Automatic Control, Vol. 53, 2008, pp. 815-821.
3. 1 Adaptive Controller: Part II," American Control Conference, June 2007, pp. 3931-3936.
4. Li, D., Patel, V. V., Cao, C., Hovakimyan, N., and Wise, K., "Optimization of the time-delay margin of [script L] 1 adaptive controller via the design of the underlying filter," Vol. 3 of Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007, American Institute of Aeronautics and Astronautics, Hilton Head, SC, United States, 2007, pp. 2836-2843.
5. 1-Optimal Feedback Controllers for Mimo Discrete-Time-Systems," IEEE Transactions on Automatic Control, Vol. 32, No. 4, 1987, pp. 314-322.
6. Dahleh, M. A. and Pearson, J. B., "L1-Optimal Compensators for Continuous-Time Systems," IEEE Transactions on Automatic Control, Vol. 32, No. 10, 1987.
7. Abedor, J., Nagpal, K., and Poolla, K., "A linear matrix inequality approach to peak-to-peak gain minimization," International Journal of Robust and Nonlinear Control, Vol. 6, No. 9-10, 1996, pp. 899-927.
8. Zhang, J. R., Knopse, C. R., and Tsiotras, P., "Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions," IEEE Transactions on Automatic Control, Vol. 46, No. 3, 2001, pp. 482-486.
9. Gu, K. Q. and Niculescu, S. I., "Survey on recent results in the stability and control of time-delay systems," Journal of Dynamic Systems Measurement and Control-Transactions of ASME, Vol. 125, No. 2, 2003, pp. 158-165.
10. de Souza, C. E. and Li, X., "Delay-dependent robust H-infinity control of uncertain linear state-delayed systems," Automatica, Vol. 35, No. 7, 1999, pp. 1313-1321.
11. Boyd, S. P., Linear matrix inequalities in system and control theory, Society for Industrial and Applied Mathematics, 1994.
12. Pomet, J. and Praly, L., "Adaptive nonlinear regulation: Estimation from the Lyapunov equation," IEEE Trans. Autom. Contr., Vol. 37(6), June 1992, pp. 729-740.
13. Nazin, S. A., Polyak, B. T., and Topunov, M. V., "Rejection of bounded exogenous disturbances by the method of invariant ellipsoids," Automation and Remote Control, Vol. 68, No. 3, 2007, pp. 467-486.
14. Venkatesh, S. R. and Dahleh, M. A., "Does star norm capture the L1 norm?" Vol. 1 of Proceedings of the American Control Conference, Seattle, WA, USA, 1995, pp. 944-945.