Design of a Stable State Feedback Controller Based on the Multirate Sampling of the Plant Output

IEEE Transactions on Automatic Control

Volumn 33, Issue 9, 1988, Pages 812-819

  Hagiwara, Tomomichi ^a   Mituhiko, Araki ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS -- OBSERVABILITY; SYSTEM STABILITY;

MULTIRATE SAMPLING; PLANT OUTPUT SAMPLING; STABLE-STAGE FEEDBACK CONTROLLED DESIGN;

CONTROL SYSTEMS, SAMPLED DATA;

EID: 0024072071     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.1309     Document Type: Article

References (30)

1. W. M. Wonham, Linear Multivariable Control: A Geometric Approach. New York: Springer-Verlag, 1974.
2. D. C. Youla, J. J. Bongiorno, Jr., and C. N. Lu, “Single-loop feedback-stabilization of linear multivariable dynamical plants,” Automatica, vol. 10, pp. 159–173, 1974.
3. M. Vidyasagar, Control System Synthesis: A Factorization Approach. Cambridge, MA: M.I.T. Press, 1985.
4. A. B. Chammas and C. T. Leondes, “On the design of linear timeinvariant systems by periodic output feedback: Part I. Discrete-time pole assignment,” Int. J. Contr., vol. 27, pp. 885–894, 1978.
5. A. B. Chammas and C. T. Leondes, “On the design of linear time-invariant systems by periodic output feedback: Part II. Output feedback controllability,” Int. J. Contr., vol. 27, pp. 895–903, 1978.
6. A. B. Chammas and C. T. Leondes, “Pole assignment by piecewise constant output feedback,” Int. J. Contr., vol. 29, pp. 31–38, 1979.
7. A. B. Chammas and C. T. Leondes, “On the finite time control of linear systems by piecewise constant output feedback,” Int. J. Contr., vol. 30, pp. 227–234, 1979.
8. M. Araki and T. Hagiwara, “Pole assignment by multirate sampleddata output feedback,” in Proc. 24th IEEE Conf. Decision Contr., 1985, pp. 189–193.
9. M. Araki and T. Hagiwara, “Pole assignment by multirate sampleddata output feedback,” Int. J. Contr., vol. 44, pp. 1661–1673, 1986.
10. J. P. Greschak and G. C. Verghese, “Periodically varying compensation of time-invariant systems,” Syst. Contr. Lett., vol. 2, pp. 88–93, 1982.
11. P. P. Khargonekar, K. Poolla, and A. Tannenbaum, “Robust control of linear time-invariant plants using periodic compensation,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 1088–1096, 1985.
12. T. Mita, B. C. Pang, and K. Z. Liu, “Design of optimal strongly stable digital control systems and application to output feedback control of mechanical systems,” Int. J. Contr., vol. 45, pp. 2071–2082, 1987.
13. G. M. Kranc, “Input-output analysis of multirate feedback system,” IRE Trans. Automat. Contr., vol. AC-3, pp. 21–28, 1957.
14. R. E. Kalman and J. E. Bertram, “A unified approach to the theory of sampling systems,” J. Franklin Inst., vol. 267, pp. 405–436, 1959.
15. T. C. Coffey and I. J. Williams, “Stability analysis of multiloop, multirate sampled systems,” AIAA J., vol. 4, pp. 2178–2190, 1966.
16. E. I. Jury, “A note on multirate sampled-data systems,” IEEE Trans. Automat. Contr., vol. AC-12, pp. 319–320, 1967.
17. W. H. Boykin and B. D. Frazier, “Multirate sampled-data systems analysis via vector operators,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 548–551, 1975.
18. R. A. Meyer and C. S. Burrus “Design and implementation of multirate digital filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 53–58, 1976.
19. C. H. Lu and S. C. Gupta, “Multirate digital filters,” Int. J. Syst. Sci., vol. 10, pp. 605–620, 1979.
20. M. Araki, K. Yamamoto, and B. Kondo, “Multivariable multirate sampled-data systems: Symmetric coordinate expression, stability, and generalized Gershgorin bands,” presented at the U.S.-Japan Seminar on Recent Advances in Algebraic System Theory, Gainesville, FL, Apr. 1983.
21. M. Araki and K. Yamamoto, “Multivariable multirate sampled-data systems: State-space description, transfer characteristics, and Nyquist criterion,” IEEE Trans. Automat. Contr., vol. AC-31, pp. 145–154, 1986.
22. R. E. Kalman, “Kronecker invariants and feedback,” in Proc. Conf. Ordinary Differential Equations, Math. Research Center, Naval Research Labs., Washington, DC, 1971, pp. 459–471.
23. D. G. Luenberger, “Canonical forms for linear multivariable systems,” IEEE Trans. Automat. Contr., vol. AC-12, pp. 290–293, 1967.
24. H. W. Smith and E. J. Davison, “Design of industrial regulators: Integral feedback and feedforward control,” Proc. IEE, vol. 119, no. 8, pp. 1210–1216, 1972.
25. T. Mita, “Optimal digital feedback control systems counting computation time of control laws,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 542–548, 1985.
26. R. E. Kalman, Y. C. Ho, and K. S. Narendra, “Controllability of linear dynamical systems,” Contributions to Differential Equations, vol. 1, no. 2, pp. 189–213, 1962.
27. E. J. Davison and S. H. Wang, “Properties and calculation of transmission zeros of linear multivariable systems,” Automatica, vol. 10, pp. 643–658, 1974.
28. A. G. J. MacFarlane and N. Karcanias, “Poles and zeros of linear multivariable systems: A survey of the algebraic, geometric and complex-variable theory,” Int. J. Contr., vol. 24, pp. 33–74, 1976.
29. P. G. Ferreira and S. P. Bhattacharyya, “On blocking zeros,” IEEE Trans. Automat. Contr., vol. AC-22, pp. 258–259, 1977.
30. M. Araki and T. Hagiwara, “Several approaches to the design of multirate-output controllers,” to be published.