Control of combustion oscillations via ℋ∞ loop-shaping, μ-analysis and Integral Quadratic Constraints

Automatica

Volumn 39, Issue 2, 2003, Pages 219-231

  Chu, Yun Chung ^a   Glover, Keith ^b   Dowling, Ann P ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

analysis; loop shaping; Closed loop fuel modulation; Combustion instabilities; Integral Quadratic Constraints; Pad approximation

Indexed keywords

COMBUSTION; COMPUTER SIMULATION; CONSTRAINT THEORY; OSCILLATIONS;

HEAT RELEASE;

CLOSED LOOP CONTROL SYSTEMS;

EID: 0037295221     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00226-1     Document Type: Article

References (24)

1. Annaswamy A.M., Fleifil M., Rumsey J.W., Prasanth R., Hathout J.-P., Ghoniem A.F. Thermoacoustic instability. Model-based optimal control designs and experimental validation IEEE Transactions on Control Systems Technology. 8(6):2000;905-918.
2. Baker G.A. Jr., Graves-Morris P. Padé approximants, Parts I and II. Encyclopedia of mathematics and its applications. Vol. 13 and 14:1981;Cambridge University Press, Cambridge.
3. Bloxsidge G.J., Dowling A.P., Langhorne P.J. Reheat buzz. An acoustically coupled combustion instability. Part 2. Theory Journal of Fluid Mechanics. 193:1988;445-473.
4. ∞ loop-shaping, μ -analysis and integral quadratic constraints. Technical Report CUED/F-INFENG TR. 377, Department of Engineering, University of Cambridge.
5. Dowling A.P. Nonlinear self-excited oscillations of a ducted flame. Journal of Fluid Mechanics. 346:1997;271-290.
6. Dowling A.P. A kinematic model of a ducted flame. Journal of Fluid Mechanics. 394:1999;51-72.
7. Evesque, S., Chu, Y. C., Dowling, A. P., & Glover, K. (1999). Feedback control of a premixed ducted flame. In Waltrup, P. J. (Ed.), Proceedings of the 14th international symposium on air breathing engines. AIAA, Florence, Italy.
8. Fleifil M., Annaswamy A.M., Ghoniem Z., Ghoniem A.F. Response of a laminar premixed flame to flow oscillations. A kinetic model and thermoacoustic instability results Combustion and Flame. 106:1996;487-510.
9. ∞ controllers to a VSTOL aircraft IEEE Transactions on Automatic Control. 38(7):1993;1021-1039.
10. Krstic M., Krupadanam A., Jacobson C. Self-tuning control of a nonlinear model of combustion instabilities. IEEE Transactions on Control Systems Technology. 7(4):1999;424-436.
11. ∞ -optimization - tutorial paper Automatica. 29(2):1993;255-273.
12. Langhorne P.J. Reheat buzz. An acoustically coupled combustion instability. Part 1. Experiment Journal of Fluid Mechanics. 193:1988;417-443.
13. Langhorne P.J., Dowling A.P., Hooper N. Practical active control system for combustion oscillations. Journal of Propulsion and Power. 6(3):1990;324-333.
14. McFarlane D.C., Glover K. Robust controller design using normalized coprime factor plant descriptions. Lecture Notes in Control and Information Sciences. Vol. 138:1990;Springer, Berlin.
15. ∞ synthesis IEEE Transactions on Automatic Control. 37(6):1992;759-769.
16. Megretski, A., Kao, C.-Y., Jonsson, U., & Rantzer, A. (1998). A guide to IQC β: Software for robustness analysis, Laboratory for Information and Decision systems, Massachusetts Institute Technology.
17. Megretski A., Rantzer A. System analysis via integral quadratic constraints. IEEE Transactions on Automatic Control. 42(6):1997;819-830.
18. Packard A., Doyle J.C. The complex structured singular value. Automatica. 29:1993;71-109.
19. Tierno, J. E., & Doyle, J. C. (1992). Multi mode active stabilization of a Rijke tube. In ASME winter annual meeting - active control of noise and vibration, DSC-Vol. 38. Anaheim, CA (pp. 65-68).
20. Vinnicombe G. Frequency-domain uncertainty and the graph topology. IEEE Transactions on Automatic Control. 38(9):1993;1371-1383.
21. Vinnicombe, G. (1993b). Measuring the robustness of feedback systems. Ph.D. thesis, University of Cambridge.
22. ∞ loop-shaping and the ν -gap metric:2001;Imperial College Press, London.
23. ∞ framework International Journal of Control. 59(3):1994;627-638.
24. Zhou K., Doyle J.C., Glover K. Robust and optimal control. 1995;Prentice-Hall, Englewood Cliffs, NJ.