Partial pole placement by LQ regulators: An inverse problem approach

IEEE Transactions on Automatic Control

Volumn 43, Issue 5, 1998, Pages 706-708

  Sugimoto, Kenji ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Inverse problem of optimal control; LQ control; Pole placement

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; FEEDBACK; INVERSE PROBLEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; PERFORMANCE; POLES AND ZEROS; POLYNOMIALS; RICCATI EQUATIONS; VECTORS;

LINEAR QUADRATIC REGULATOR; POLE PLACEMENT; RIGHT COPRIME FACTORIZATION;

CONTROL THEORY;

EID: 0032071944     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.668841     Document Type: Article

References (12)

1. A. T. Alexandridis and G. D. Galanos, "Optimal pole-placement for linear multi-input controllable systems," IEEE Trans. Circuits Syst., vol. CAS-34, pp. 1602-1604, 1987.
2. M. H. Amin, "Optimal pole shifting for continuous multivariable linear systems," Int. J. Contr., vol. 41, pp. 701-707, 1985.
3. B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods. Englewood Cliffs, NJ: Prentice Hall, 1990.
4. W. L. Eastman and J. A. Bossi, "Design of linear quadratic regulators with assigned eigenstructure," Int. J. Contr., vol. 39, pp. 731-742, 1984.
5. T. Fujii, "A new approach to the LQ design from the viewpoint of the inverse regulator problem," IEEE Trans. Automat. Contr., vol. AC-32, pp. 995-1004, 1987.
6. T. Fujii and M. Narazaki, "A complete optimality condition in the inverse problem of optimal control," SIAM J. Contr. Optim., vol. 22, pp. 327-341, 1984.
7. K. Furuta and S. B. Kim, "Pole assignment in a specified disk," IEEE Trans. Automat. Contr., vol. AC-32, pp. 423-427, 1987.
8. C. A. Harvey and G. Stein, "Quadratic weights for asymptotic regulator properties," IEEE Trans. Automat. Contr., vol. AC-23, pp. 378-387, 1978.
9. S. O. R. Moheimani and I. R. Petersen, "Quadratic guaranteed cost control with robust pole placement in a disk," Proc. Inst. Elec. Eng. Contr. Theory Appl., vol. 143, pp. 37-43, 1996.
10. K. Sugimoto and Y. Yamamoto, "On successive pole assignment by linear quadratic optimal feedbacks," Lin. Alg. Its Appl., vol. 122-124, pp. 697-724, 1989.
11. B. Wittenmark, R. J. Evans, and Y. C. Soh, "Constrained Pole-placement using Transformation and LQ-design," Automatica, vol. 23, pp. 767-769, 1987.
12. W. A. Wolovich, Linear Multivariable Systems. New York: Springer-Verlag, 1974.