Robust PID Control Using Generalizes KYP Synthesis: Direct Open-Loop Shaping in Multiple Frequency Ranges

IEEE Control Systems

Volumn 26, Issue 1, 2006, Pages 80-91

  Hara, Shinji ^a   Iwasaki, Tetsuya ^a   Shiokata, Daisuke ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DIGITAL CONTROL SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; OPTIMIZATION;

FREQUENCY-DOMAIN INEQUALITIES; GENERALIZED KALMAN-YAKUBOVICH-POPOV (GKYP) SYNTHESIS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; OPEN-LOOP PID SHAPING; PROPORTIONAL-INTEGRAL-DERIVATIVE (PID) CONTROL;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 31944445158     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2006.1580156     Document Type: Article

References (29)

1. Y. Nishikawa, N. Sannomiya, T. Ohta, and H. Tanaka, “A method for auto-tuning of PID control parameters,” Automatica, vol. 20, no. 3, pp. 321-332,1984.
2. P. Gawthrop, “Self-tuning PID controllers: Algorithms and implementation,” IEEE Trans. Automat. Contr., vol. 31, no. 3, pp. 201-209,1986.
3. W. Ho, C. Hang, and L. Cao, “Tuning of PID controllers based on gain and phase margin specifications,” Automatica, vol. 31, no. 3, pp. 497-502,1995.
4. A. Zolotas and G. Halikias, “Optimal design of PID controllers using the QFT method,” IEEE Proc. Contr. Theory Appl., vol. 146, no. 6, pp. 585-589,1999.
5. ∞ loop shaping,” Int. J. Robust Nonlin. Contr., vol. 10, no. 15, pp. 1249–1261, 2000.
6. E. Grassi, K. Tsakalis, S. Dash, S. Gaikwad, W. MacArthur, and G. Stein, “Integrated system identification and PID controller tuning by frequency loop-shaping,” IEEE Trans. Contr. Syst. Technol., vol. 9, no. 2, pp. 285-294,2001.
7. ∞ specifications,” IEEE Trans. Automat. Contr., vol. 48, no. 5, pp. 736–740, 2004.
8. P. Suchomski, “Robust PI and PID controller design in delta domain,” Proc. Inst. Elec. Eng., vol. 148, no. 5, pp. 350–354, 2001.
9. L. Keel, J. Rego, and S. Bhattacharyya, “A new approach to digital PID controller design,” IEEE Trans. Automat. Contr., vol. 48, no. 4, pp. 687-692,2003.
10. M. Mattei, “Robust multivariable PID control for linear parameter varying systems,” Automatica, vol. 37, no. 12, pp. 1997–2003, 2001.
11. M. Ho and C. Lin, “PID controller design for robust performance,” IEEE Trans. Automat. Contr., vol. 48, no. 8, pp. 1404–1409, 2003.
12. K. Astrom, P. Albertos, and J. Quevedo, “PID control,” Contr. Eng. Pract., vol. 9, no. 11, pp. 1159- 1161, 2001.
13. T. Iwasaki, G. Meinsma, and M. Fu, “Generalized S-procedure and finite frequency KYP lemma,” Math. Prob. Eng. [Online]. vol. 6, pp. 305–326, 2000. Available: http://mpe.hindawi.com/volume6/S1024123X00001368.html
14. T. Iwasaki, S. Hara, and H. Yamauchi, “Dynamical system design from a control perspective: Finite frequency positive-realness approach,” IEEE Trans. Automat. Contr., vol. 48, pp. 1337–1354, Aug. 2003.
15. T. Iwasaki and S. Hara, “Generalized KYP lemma: Unied frequency domain inequalities with design applications,” IEEE Trans. Automat. Contr., vol. 50, pp. 41–59, Jan. 2005.
16. T. Iwasaki and S. Hara, “Generalized KYP lemma: Unied characterization of frequency domain in equalities with applications to system design,” Univ. Tokyo, Tech. Rep., vol. METR2003-27 [Online]. Aug. 2003. Available: http://www.keisu.t.u-tokyo.ac.jp/Research/techrep.0.html
17. B. Anderson, “A system theory criterion for positive real matrices,” SIAM J. Contr., vol. 5, no. 2, pp. 171-182,1967.
18. A. Rantzer, “On the Kalman-Yakubovich-Popov lemma,” Syst. Contr. Lett., vol. 28, no. 1, pp. 7-10,1996.
19. R. Middleton and G. Goodwin, Digital Control and Estimation. Engle-wood Cliffs, NJ: Prentice-Hall, 1990.
20. T. Iwasaki and G. Shibata, “LPV system analysis via quadratic separator for uncertain implicit systems,” IEEE Trans. Automat. Contr., vol. 46, no. 8, pp. 1195–1208, 2001.
21. M. Fan, A. Tits, and J. Doyle, “Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics,” IEEE Trans. Automat. Contr., vol. 36, pp. 25–38, Jan. 1991.
22. T. Asai, S. Hara, and T. Iwasaki, “Simultaneous parametric uncertainty modeling and robust control synthesis by LFT scaling,” Automatica, vol. 36, no. 10, pp. 1457–1467, 2000.
23. T. Iwasaki and S. Hara, “Well-posedness of feedback systems: insights into exact robustness analysis and approximate computations,” IEEE Trans. Automat. Contr., vol. 43, no. 5, pp. 619–630, May 1998.
24. C. Scherer, “LPV control with full block multipliers,” Automatica, vol. 37, no. 3, pp. 361–375, 2001.
25. A. Megretski and A. Rantzer, “System analysis via integral quadratic constraints,” IEEE Trans. Automat. Contr., vol. 42, no. 6, pp. 819-830,1997.
26. S. Hara, D. Shiokata, and T. Iwasaki, “Fixed order controller design via generalized KYP lemma Proc. IEEE Int. Conf. Control Applications, 2004, vol. 2, pp. 1527–1532.
27. D. Shiokata, S. Hara, and T. Iwasaki, “From Nyquist/Bode to GKYP design: Design algorithms and CACSD tools Proc. SICE Ann. Conf., 2004, vol. 2, pp. 1786–1791.
28. T. Iwasaki and S. Hara, “Robust control synthesis with general frequency domain specifications: Static gain feedback case,” Proc. American Control Conf., 2004, vol. 5, pp. 4613–4618.
29. T. Iwasaki and S. Hara, “Dynamic output feedback synthesis with general frequency domain specifications Proc. IFAC World Congress, 2005.