Robust pole assignment in descriptor systems via proportional plus partial derivative state feedback

International Journal of Control

Volumn 72, Issue 13, 1999, Pages 1193-1203

  Duan, Guang Ren ^a   Patton, Ron J ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b UNIVERSITY OF HULL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PROPORTIONAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SENSITIVITY ANALYSIS; STATE FEEDBACK;

CLOSED LOOP EIGENVALUES; DESCRIPTOR LINEAR SYSTEMS; INDEPENDENT MINIMIZATION PROBLEM; PARTIAL DERIVATIVE FEEDBACK; ROBUST POLE ASSIGNMENT;

MULTIVARIABLE CONTROL SYSTEMS;

EID: 0033339882     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071799220344     Document Type: Article

References (27)

1. Chen, H C., and Chang, F. R., 1993 a, Chained eigenstruc-ture assignment for constraint-ratio proportional and derivative (CRPD) control law in controllable singular systems. Systems and Control Letters, 21, 405-411.
2. Duan, G. R., 1992 a, Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems. Automatica, 28, 639-643.
3. Duan, G. R., 1992 b, Simple algorithm for robust eigenvalue assignment in linear output feedback. IEE Proceeding Part D: Control Theory and Applications, 139, 465-469.
4. Duan, G. R., 1993 a, Robust eigenstructure assignment via dynamical compensators. Automatica, 29, 469-474.
5. Duan, G. R., 1993 b, Solutions to matrix equation AV+ BW= VF and their application to eigenstructure assignment in linear systems. IEEE Transactions on Automatic Control, AC-38, 276-280.
6. Duan, G R, 1994, Eigenstructure assignment by decentralized output feedback-A complete parametric approach. IEEE Transactions on Automatic Control. AC-39, 1009-1014.
7. Duan, G R., 1995, Parametric approach for eigenstructure assignment in descriptor systems via output feedback. IEE Proceedings on Control Theory and Application, 142, 36-41.
8. Duan, G R., 1996, On the solution to Sylvester matrix equation AV + BW = EV F. IEEE Transactions on Automatic Control, AC-41, 2490-2494.
9. Duan, G R., and Patton, R. J., 1997, Eigenstructure assignment in descriptor systems via proportional plus derivative state feedback. International Journal of Control, 68, 1147-1162.
10. Duan, G R., and Patton, R. J., (1998), Eigenstructure assignment in descriptor systems via state feedback-A new complete parametric approach. International Journal of Systems Science, 29, 167-178.
11. Fahmy, ML, and O’Reilly, J., 1983, Eigenstructure assignment in linear multivariable systems-A parametric solution. IEEE Transactions on Automatic Control, 28, 990-994.
12. Fahmy, ML, and O’Reilly, J., 1988, Parametric eigenstructure assignment by output-feedback control-The case of multiple-eigenvalues. International Journal of Control, 48, 1519-1535.
13. Fahmy, M M, and O’ Reilly, J., 1989, Parametric eigen-structure assignment for continuous-time descriptor systems. International Journal of Control, 49, 129-143.
14. Fletcher, L. R., Kautsky, J., and Nichols, N. K., 1986, Eigenstructure assignment in descriptor system. IEEE Transactions on Automatic Control, AC-31, 1138-1141.
15. Jin, H, Y., 1994, Eigenstructure assignment by proportionalderivative state-feedback in singular systems. System and Control Letters, 22, 47-52.
16. Kautsky, J., Nichols, N. K., and Chu, E. K. W, 1989, Robust pole assignment in singular control systems. Linear Algebra and Its Applications, 121, 9-37
17. Kautsky, J, Nichols, N. K., and Van Dooren, P., 1985, Robust pole assignment in linear state feedback. International Journal of Control, 41, 1129-1155.
18. Lewis, F. L, and Syrmos, V. S., 1991, A geometric theory for derivative feedback. IEEE Transactions on Automatic Control, AC-36, 1111-1116.
19. Mukundan, R., and Dayawansa, W, 1983, Feedback control of singular systems-proportional and derivative feedback of the state. International Journal System Science, 14, 615-632.
20. O’ Reilly, J., and Fahmy, M M 1985, The minimum number of degrees of freedom in state feedback control. International Journal of Control, 41, 749-768.
21. Owens, T. J., and O’ Reilly, J., 1989, Parametric state-feedback control for arbitrary eigenvalue assignment with minimum sensitivity. IEE Proceedings D, Control Theory and Applications, 136, 307-313.
22. Shayman, M A., and Zhou, Z., 1987 a, Feedback control and classification of generalized singular systems. IEEE Transactions on Automatic Control, AC-32, 483-494.
23. Shayman, M A., and Zhou, Z., 1987b, On the control of generalised linear systems using constant-ratio proportional and derivative feedback. In Proceedings of the IFAC 10th Triennial World Congress, 1987, 127-132.
24. Stewart, G. W, 1975, Gerschgorin theory for the generalised eigenvalue problem Ax - XBx. Mathematics of Computation, 29, 600-606.
25. Sun, J. G, 1987, On numerical methods for robust pole assignment in control system design. Journal of Computational Mathematics China, 5, 119-134.
26. Syrmos, V. L, and Lewis, F. L, 1991, A geometric approach to proportional plus derivative feedback using quotient and partitioned subspaces. Automatica, 27, 349-369
27. Syrmos, V. L, and Lewis, F. L, 1992, Robust eigenvalue assignment for generalised systems. Automatica, 28, 1992, 1223-1228