Iterative design of the reduced-order weight and controller for the H∞ loop-shaping method under open-loop magnitude constraints for SISO systems

IEEE Transactions on Industrial Electronics

Volumn 56, Issue 10, 2009, Pages 3854-3863

  Katayama, Shu ^a   Yubai, Kazuhiro ^a   Hirai, Junji ^a  

^a MIE UNIVERSITY   (Japan)

Author keywords

H loop shaping method; Magnitude constraints; Open loop shaping; Reduced order weight design

Indexed keywords

CONTROL METHODS; FREQUENCY-DEPENDENT; GENERALIZED EIGENVALUES; HIGH-ORDER; ITERATIVE DESIGN; LOOP-SHAPING; MAGNITUDE CONSTRAINTS; MINIMIZATION PROBLEMS; OPEN LOOPS; OPEN-LOOP SHAPING; PARAMETER MATRICES; REDUCED ORDER; REDUCED-ORDER WEIGHT DESIGN; SISO SYSTEMS; TWO-MASS SYSTEM; WEIGHT DESIGN; WEIGHT STRUCTURE;

CONTROLLERS; DESIGN; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES;

WEIGHING;

EID: 70349611072     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2009.2017099     Document Type: Article

References (17)

1. D. C. McFarlane and K. Glover, "Robust stabilization of normalized coprime factor plant descriptions with H∞-bounded uncertainty," IEEE Trans. Autom. Control, vol. 34, no. 8, pp. 821-830, Aug. 1989.
2. D. C. McFarlane and K. Glover, "A loop-shaping design procedure using H∞ synthesis," IEEE Trans. Autom. Control, vol. 37, no. 6, pp. 759-769, Jun. 1992.
3. D. C. McFarlane and K. Glover, Robust Controller Design Using Normalized Coprime Factor Plant Descriptions, vol. 138. Berlin, Germany: Springer-Verlag, 1990.
4. R. A. Hyde and K. Glover, "The application of scheduled H∞ controllers to a VSTOL aircraft," IEEE Trans. Autom. Control, vol. 38, no. 7, pp. 1021-1039, Jul. 1993.
5. K. Yubai, K. Okuhara, and J. Hirai, "Stabilization of rotary inverted pendulum by gain-scheduling of weight and H∞ loop shaping," in Proc. 32nd Annu. Conf. IEEE Ind. Electron. Soc., 2006, pp. 288-293.
6. K. Yubai, K. Okuhara, and J. Hirai, "Gain-scheduling control of a rotary inverted pendulum by weight optimization and H∞ loop shaping," Elect. Eng. Jpn., vol. 163, no. 2, pp. 1504-1513, Jan. 2008.
7. G. Papageoriou and K. Glover, "H∞ loop-shaping: Why is it a sensible procedure for designing robust flight controllers?" presented at the AIAA Conf. and Guidance, Navigation and Control, Portland, OR, 1999, Paper 99-4272/3.
8. A. Lanzon, "Weight optimisation in H∞ loop-shaping," Automatica, vol. 41, no. 7, pp. 1201-1208, Jul. 2005.
9. K. Szabat and T. Orlowska-Kowalska, "Vibration suppression in a two-mass drive system using PI speed controller and additional feedbacks - Comparative study," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 1193-1206, Apr. 2007.
10. T. M. O'Sullivan, C. M. Bingham, and N. Schofield, "Observer-based tuning of two-inertia servo-drive systems with integrated SAW torque transducers," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 1080-1091, Apr. 2007.
11. W. Li and Y. Hori, "Vibration suppression using single neuron-based PI fuzzy controller and fractional-order disturbance observer," IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 117-126, Feb. 2007.
12. L. Rossignol, G. Scorletti, and V. Fromion, "Filter design under magnitude constraints is a finite dimensional convex optimization problem," in Proc. 40th IEEE Conf. Decision and Control, 2001, vol. 4, pp. 3575-3580.
13. L. Rossignol, G. Scorletti, and V. Fromion, "Filter design: A finite dimensional convex optimization approach," Int. J. Robust Nonlinear Control, vol. 13, no. 14, pp. 1317-1335, Oct. 2003.
14. B. A. Francis, A Course in H∞ Control Theory, vol. 88. Berlin, Germany: Springer-Verlag, 1987.
15. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. Natick, MA: Math Works Inc., 1995.
16. L. Ljung, System Identification Theory for the User, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1999.
17. K. Zhou and J. C. Doyle, Essentials of Robust Control. Upper Saddle River, NJ: Prentice-Hall, 1997.