A verification-driven approach to control analysis and tuning

AIAA Guidance, Navigation and Control Conference and Exhibit

Volumn , Issue , 2008, Pages

  Crespo, Luis G ^a,c   Kenny, Sean P ^b   Giesy, Daniel P ^b  

^a NATIONAL INSTITUTE OF AEROSPACE   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

^c NASA LaRC ^*  (United States)

Author keywords

Control tuning; Control verification; Robustness; Uncertainty

Indexed keywords

CLOSED LOOP SYSTEMS; CONTROLLERS; LINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SPECIFICATIONS; UNCERTAINTY ANALYSIS;

CONTROL TUNING; FUNCTIONAL DEPENDENCY; HIGH-FIDELITY SIMULATIONS; MULTIPOINT APPROXIMATION; PROBABILISTIC UNCERTAINTY MODEL; ROBUST CHARACTERISTIC; UNCERTAIN PARAMETERS; UNCERTAINTY;

CLOSED LOOP CONTROL SYSTEMS;

EID: 78651074448     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2008-6340     Document Type: Conference Paper

References (20)

1. deGaston, R. and Sofonov, M., "Exact calculation of the multiloop stability margin," IEEE Transactions on Automatic Control, Vol. 33, No. 2, 1988, pp. 156-171.
2. Sideris, A. and Pena, R., "Robustness Margin Calculation with Dynamic and Real Parametric Uncertainties," Proceedings of the American Control Conference, 1988, pp. 1201-1206.
3. Barmish, B. R., "New Tools for Robustness Analysis," Proceedings of the 27th Conference on Decision and Control, Austin, Texas, 1988, pp. 1-6.
4. Boyd, S. L., Ghaoui, L. E., Feron, E., and Balakrishnan, V., Linear matrix inequalities in systems and control theory, SIAM, Philadelphia, PA, 1994.
5. Barmish, B. R. and Shcherbakov, P., "On avoiding vertexization of robustness problems: the approximate feasibility concept," IEEE Transactions on Automatic Control, Vol. 47, No. 5, 2002, pp. 819-824.
6. Barmish, B. R. and Shcherbakov, P. S., "A dilation method for robustness problems with nonlinear parameter dependence," Proceedings of the American Control Conference, Denver, Colorado, 2003, pp. 3834-3839.
7. Babayigit, A., Ross, B. R., and Shcherbakov, P. S., "On robust stability with nonlinear parameter dependence: some benchmark problems illustrating the dilation integral method," Proceedings of the 2004 American Control Conference, Boston, Massachusetts, 2004, pp. 2671-2673.
8. Bryson, A. E. and A. Mills, R., "Linear-Quadratic-Gaussian Controllers with Specified Parameter Robustness," AIAA Journal of Guidance, Control and Dynamics, Vol. 21, No. 1, 1998, pp. 11-18.
9. Tenne, D. and Singh, T., "Efficient Minimax Control Design for Prescribed Parameter Uncertainty," AIAA Journal of Guidance, Control and Dynamics, Vol. 27, No. 6, 2004, pp. 1009-1016.
10. Crespo, L. G. and Kenny, S. P., "Reliability-based control design for uncertain systems," AIAA Journal of Guidance, Control, and Dynamics, Vol. 28, No. 4, 2005.
11. Darligton, J., Pantelides, C., Rustem, B., and Tanyi, B., "An algorithm for constrained nonlinear optimization under uncertainty," Automatica, Vol. 35, 1999, pp. 217-228.
12. Wang, Q. and Stengel, R. F., "Robust control of nonlinear systems with parametric uncertainty," Automatica, Vol. 38, 2002, pp. 1591-1599.
13. Wang, Q. and Stengel, R. F., "Robust Nonlinear Flight Control of a High Performance Aircraft," IEEE Transactions on Automatic Control, Vol. 13, No. 1, 2005, pp. 15-26.
14. Crespo, L. G., Kenny, S. P., and Giesy, D. P., "Figures of Merit for Control Verification," AIAA Guidance Navigation and Control Conference, Honolulu, Hawaii, USA, August 18-21 2008, p. TBD.
15. Crespo, L. G., Giesy, D. P., and Kenny, S. P., "Robust Analysis and Robust Design of Uncertain Systems," AIAA Journal, Vol. 46, No. 2, 2008.
16. Giesy, D. P., Crespo, L. G., and Kenny, S. P., "Approximation of Failure Probability using Conditional Sampling," 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, Canada, 10-12 September 2008, p. TBD.
17. Wie, B. and Bernstein, D., "A Benchmark Problem for Robust Control Design," Proceedings of the 1990 American Control Conference, Vol. 1, San Diego, CA, USA, 1990, pp. 961-962.
18. Stengel, R. F. and Morrison, C., "Robustness of Solutions to a Benchmark Control Problem," AIAA Journal of Guidance, Control and Dynamics, Vol. 15, No. 5, 1992, pp. 1060-1067.
19. Wie, B., Liu, Q., and Byun, K.-W., "Robust H-infinity control synthesis method and its application to Benchmark problems," AIAA Journal of Guidance, Control, and Dynamics, Vol. 15, No. 5, 1992, pp. 1140-1148.
20. Braatz, R. and Morari, M., "Robust Control for a Noncollocated Spring-Mass System," Journal of Guidance, Control and Dynamics, Vol. 15, No. 5, 1992, pp. 1103-110.