A transfer-function approach to dual-rate controller design for unstable and non-minimum-phase plants

IEEE Transactions on Control Systems Technology

Volumn 19, Issue 5, 2011, Pages 1186-1194

  Salt, Julian ^a   Sala, A ^a   Albertos, Pedro ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Digital control; diophantine equations; model based control; multirate sampled data systems; Youla parametrization

Indexed keywords

DIGITAL CONTROL; DIOPHANTINE EQUATION; MODEL-BASED CONTROL; MULTI-RATE SAMPLED DATA SYSTEMS; YOULA PARAMETRIZATION;

COMPUTER SIMULATION; DIGITAL CONTROL SYSTEMS; MAGNETIC LEVITATION; MAGNETIC LEVITATION VEHICLES; PARAMETERIZATION; ROBOTICS; SAMPLED DATA CONTROL SYSTEMS;

CONTROLLERS;

EID: 80051865880     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2010.2076386     Document Type: Article

References (38)

1. M. Nemani, T. C. Tsao, and S. Hutchinson, "Multi-rate analysis and design of visual feedback digital servo-control system," J. Dyn. Syst., Meas., Control, vol. 16, no. 1, pp. 45-56, Mar. 1994.
2. S. H. Lee, "Multirate digital control system design and its application to computer disk drives," IEEE Trans. Control Syst. Technol., vol. 14, no. 1, pp. 124-133, Jan. 2006.
3. B. He, T. Shen, J. Kako, and M. Ouyang, "Input observer-based individual cylinder air-fuel ratio control: Modelling, design and validation," IEEE Trans. Control Syst. Technol., vol. 16, no. 5, pp. 1057-1065, Sep. 2008.
4. Y. Halevi and A. Ray, "Integrated communication and control systems: Part I-Analysis," J. Dyn. Syst., Meas. Control, vol. 110, no. 4, pp. 367-373, Dec. 1988.
5. A. K. Tangirala, R. S. Patwardhan, S. L. Shah, and T. Chen, "LQR performance comparison of multirate vs. single-rate systems," Dyn. Continuous, Discrete Impulsive Syst., Ser. B, vol. 8, no. 4, pp. 517-537, 2001. (Pubitemid 33683353)
6. G. Kranc, "Input-output analysis of multirate feedback systems," IRE Trans. Autom. Control, vol. 3, no. 1, pp. 21-28, Nov. 1957.
7. R. Meyer and C. Burrus, "A unified analysis of multirate and periodically time-varying digital filters," IEEE Trans. Circuits Syst., vol. 22, no. 3, pp. 162-168, Mar. 1975.
8. P. Albertos, "Block multirate input-output model for sampled-data control systems," IEEE Trans. Autom. Control, vol. 35, no. 9, pp. 1085-1088, Sep. 1990.
9. D. Glasson and C. Mit, "Development and applications of multirate digital control," IEEE Control Syst. Mag., vol. 3, no. 4, pp. 2-8, Nov. 1983. (Pubitemid 14487106)
10. M. Araki, "Recent developments in digital control theory," Proc. 12th IFAC World Congr., pp. 951-960, 1993.
11. B. Bamieh, J. B. Pearson, B. A. Francis, and A. Tannenbaum, "A lifting technique for linear periodic systems with applications to sampled-data control," Syst. Control Lett., vol. 17, no. 2, pp. 79-88, Aug. 1991. (Pubitemid 21708021)
12. X. Wang, B. Huang, and T. Chen, "Multirate minimum variance control design and control performance assessment: A data-driven subspace approach," IEEE Trans. Control Syst. Technol., vol. 15, no. 1, pp. 65-74, Jan. 2007. (Pubitemid 46056100)
13. P. Albertos, R. Sanchis, and A. Sala, "Output prediction under scarce data operation: Control applications," Automatica, vol. 35, no. 10, pp. 1671-1681, Oct. 1999.
14. S. Lall and G. Dullerud, "An LMI solution to the robust synthesis problem for multi-rate sampled-data systems," Automatica, vol. 37, no. 12, pp. 1909-1922, Dec. 2001. (Pubitemid 32951287)
15. A. Sala, "Computer control under time-varying sampling period: An LMI gridding approach," Automatica, vol. 41, no. 12, pp. 2077-2082, Dec. 2005. (Pubitemid 41525665)
16. A. Sala, "Improving performance under sampling-rate variations via generalized hold functions," IEEE Trans. Control Syst. Technol., vol. 15, no. 4, pp. 794-797, Jul. 2007. (Pubitemid 47062016)
17. A. Sala, A. Cuenca, and J. Salt, "A retunable PID multi-rate controller for a networked control system," Inf. Sci., vol. 179, no. 14, pp. 2390-2402, Jun. 2009.
18. D. Li, S. L. Shah, and T. Chen, "Analysis of dual-rate inferential control systems," Automatica, vol. 38, no. 6, pp. 1053-1059, Jun. 2002. (Pubitemid 34249759)
19. H. In and C. Zhang, "A multirate digital controller for model matching," Automatica, vol. 30, no. 6, pp. 1043-1050, Jun. 1994. (Pubitemid 124008049)
20. D. Eckardt, "Design of finite impulse response controllers by pole assignment in multirate sampled-data systems," Int. J. Control, vol. 49, no. 4, pp. 1185-1193, Apr. 1989. (Pubitemid 20610954)
21. V. Kucera, "Diophantine equations in control. A survey," Automatica (Oxford), vol. 29, no. 6, pp. 1361-1375, Nov. 1993.
22. J. Salt and P. Albertos, "Model-based multirate controllers design," IEEE Trans. Control Syst. Technol., vol. 13, no. 6, pp. 988-997, Nov. 2005. (Pubitemid 41638150)
23. W. J. Cao, Q. Bi, X. Liu, C. K. Lim, Y. C. Soh, S. Technol, and S. Singapore, "Frequency-domain transfer function of digital multirate controller with current estimator," IEEE Trans. Control Syst. Technol., vol. 13, no. 1, pp. 131-137, Jan. 2005. (Pubitemid 40118934)
24. B. D. O. Anderson, "From Youla-Kucera to identification, adaptive and nonlinear control," Automatica (Oxford), vol. 34, no. 12, pp. 1485-1506, Dec. 1998. (Pubitemid 128399359)
25. "Parametrization of Stabilizing Controllers With Applications," in Advances in Automatic Control, V. Kucera and M. Voicu, Eds. Boston, MA: Kluwer, 2003, pp. 1301-1317.
26. J. Salt, A. Sala, and P. Albertos, "A proposal for dual-rate controller design for unstable plants," presented at the IEEE IES IECON, Phoenix, AZ, Nov. 2010.
27. B. A. Francis and T. T. Georgiou, "Stability theory for linear timeinvariant plants with periodic digital controllers," IEEE Trans. Autom. Control, vol. 33, no. 9, pp. 820-832, Sep. 1988.
28. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, NJ: Prentice-Hall, 1996.
29. G. F. Franklin, M. L. Workman, and D. Powell, Digital Control of Dynamic Systems. Boston, MA: Addison-Wesley, 1997.
30. P. Albertos and A. Sala, Multivariable Control Systems: An Engineering Approach. New York: Springer, 2004.
31. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice-Hall, 1989.
32. T. Chen and B. A. Francis, Optimal Sampled-Data Control Systems. New York: Springer, 1995.
33. D. Youla, H. Jabr, and J. Bongiorno, Jr, "Modern Wiener-Hopf design of optimal controllers-Part II: The multivariable case," IEEE Trans. Autom. Control, vol. 21, no. 3, pp. 319-338, Jun. 1976.
34. P. Khargonekar, K. Poolla, and A. Tannenbaum, "Robust control of linear time-invariant plants using periodic compensation," IEEE Trans. Autom. Control, vol. 30, no. 11, pp. 1088-1096, Nov. 1985. (Pubitemid 16524711)
35. D. G. Meyer, "A parametrization of stabilizing controllers for multiratesampled-data systems," IEEE Trans. Autom. Control, vol. 35, no. 2, pp. 233-236, Feb. 1990.
36. G. C. Goodwin, S. F. Graebe, and M. E. Salgado, Control System Design. New York: Springer, 2001.
37. R. Aracil, R. J. Saltaren, and O. Reinoso, "A climbing parallel robot," IEEE Robot. Autom. Mag., vol. 13, no. 1, pp. 16-22, Mar. 2006. (Pubitemid 43329234)
38. K. J. Åström, P. Hagander, and J. Sternby, "Zeros of sampled systems," Automatica, vol. 20, no. 1, pp. 31-38, Jan. 1984.