The role of the unitary interactor matrix in the explicit solution of the singular LQ output feedback control problem

Automatica

Volumn 33, Issue 11, 1997, Pages 2071-2075

  Huang, B ^a   Shah, S L ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Interactor matrices; LQG control method; Minimum variance control; Performance monitoring

Indexed keywords

CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; MULTIVARIABLE CONTROL SYSTEMS;

MINIMUM VARIANCE CONTROL; UNITARY INTERACTOR MATRIX;

MATRIX ALGEBRA;

EID: 0031276648     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(97)00119-2     Document Type: Article

References (19)

1. Astrom, K. J. and B. Wittenmark (1990). Computer-Controlled Systems, Theory and Design, 2nd edn. Prentice-Hall, Englewood Cliffs. NJ.
2. Bittanti, S., P. Colaneri and M. F. Mongiovi (1994). The spectral interactor matrix for the singular ricati equation. In Proc. 33rd CDC, pp. 2165-2169.
3. Dugard, L., G. C. Goodwin and X. Xianya (1984). The role of the interactor matrix in mulltivariable stochastic adaptive control. Automatica, 20(5), 701-709.
4. Goodwin, G. C. and K. S. Sin, Adaptive Filtering Prediction and Control. Prentice-Hall, Englewood Cliffs, NJ.
5. Harris, T. J., F. Boudreau and J. F. MacGregor (1996). Performance assessment of multivariable feedback controllers. Automatica, 32(11), 1505-1518.
6. Harris, T. J. and J. F. MacGregor (1987). Design of multivariable linear quadratic controllers using transfer functions. AIChE J, 33, 1481-1495.
7. Huang, B. (1997). Multivariate statistical methods for control loop performance assessment. PhD Thesis, Department of Chemical Engineering, University of Alberta, Edmonton, Alberta, Canada.
8. Huang, B., S. L. Shah and H. Fujii (1997a). The unitary interactor matrix and its estimation using closed-loop data. J. Process Control, 7(3), 195-207.
9. Huang, B., S. L. Shah and K. Y. Kwok (1995). On-line control performance monitoring of MIMO processes. In Proc. American Control Conf., Seattle, Washington, pp. 1250-1254.
10. Huang, B., S. L. Shah and K. Y. Kwok (1997b). Good, bad or optimal? performance assessment of MIMO processes. Automatica, 33(6), 1175-1183.
11. Huang, B., Shah, S. L. and K. Y. Kwok (1996). How good is your controller? application of control loop performance assessment techniques to MIMO processes. In Proc. 13th IFAC World Congress, Vol. M, San Francisco, pp. 229-234.
12. Mutoh, Y. and R. Ortega (1993). Interactor structure estimation for adaptive control of discrete-time multivariable non-decouplable systems. Automatica, 29(3), 635-647.
13. Paplinski, A. P. and M. W. Rogozinski (1990). Right nilpotent interactor matrix and its application to multivariable stochastic control. In Proc. ACC, Vol. 1, pp. 494-495.
14. Peng, Y. and M. Kinnaert (1992). Explict solution to the singular LQ regulation problem. IEEE Trans AC, 37, 633-636.
15. Rogozinski, M. W., A. P. Paplinski and M. J. Gibbard (1987). An algorithm for calculation of a nilpotent interactor matrix for linear multivariable systems. IEEE Trans. AC, 32(3), 234-237.
16. Shah, S. L., C. Mohtadi and D. W. Clarke (1987). Multivariable adaptive control without a prior knowledge of the delay matrix. Systems Control Lett., 295-306.
17. Tsiligiannis, C. A. and S. A. Svoronos (1988). Dynamic interactors in multivariable process control - 1, the general time delay case. Chem. Engng Sci, 43(2), 339-347.
18. Wolovich, W. A. and H. Elliott (1983). Discrete models for linear multivariable systems. Int. J. Control, 38(2), 337-357.
19. Wolovich, W. A. and P. L. Falb (1976). Invariants and canonical forms under dynamic compensation. SIAM J. Control, 14, 996-1008.