Generalized PI controllability

International Journal of Control

Volumn 63, Issue 2, 1996, Pages 307-330

  Mustafa, D ^a   Davidson, T N ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL EQUIPMENT; CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; EIGENVALUES AND EIGENFUNCTIONS; SYSTEM STABILITY;

INTEGRAL CONTROLLABILITY; MAXIMAL LOW INTEGRAL GAIN; MAXIMAL LOW PROPORTIONAL GAIN; PROPORTIONAL CONTROLLABILITY;

TWO TERM CONTROL SYSTEMS;

EID: 0029755437     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921845     Document Type: Article

References (23)

1. Ackermann, J., Bartlett, A., Kaesbauer, D., Sienel, W., and Steinhauser, R., 1993, Robust Control, Systems with Uncertain Physical Parameters (Berlin: Springer-Verlag).
2. Barmish, B. R., Hollot, C. V., Kraus, F. J., and Tempo, R., 1992, Extreme point results for robust stabilization of interval plants with first order compensators. IEEE Transactions on Automatic Control, 37, 707-714.
3. Brewer, J. B., 1978, Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems, 25, 772-781.
4. Campo, P. J., and Morari, M., 1994, Achievable closed-loop properties of systems under decentralized control: Conditions involving the steady-state gain. IEEE Transactions on Automatic Control, 39, 932-943.
5. Foo, Y. K., and Soh, Y. C., 1989, Root clustering of interval polynomials in the left sector. Systems and Control Letters, 13, 239-245.
6. Fu, M., and Barmish, B. R., 1988, Maximal unidirectional perturbation bounds for stability of polynomials and matrices. Systems and Control Letters, 11, 173-179.
7. Genesio, R., and Tesi, A., 1988, Results on the stability of systems with state space perturbations. Systems and Control Letters, 11, 39-46.
8. Grosdidier, P., Morari, M., and Holt, B. R., 1985, Closed-loop properties from steady-state gain information. Industrial and Engineering Chemistry-Fundamentals, 24, 221-235.
9. Gutman, S., 1990, Root Clustering in Parameter Space. Lecture Notes in Control and Information Sciences, Vol. 141 (Berlin: Springer-Verlag).
10. Horn, R. A., and Johnson, C. R., 1985, Matrix Analysis (Cambridge, U.K.: Cambridge University Press).
11. Hyland, D. C., and Collins, E. G. Jr., 1989, Block Kronecker products and block norm matrices in large-scale systems analysis. SIAM Journal on Matrix Analysis and Applications, 10, 18-29.
12. Kato, T., 1966, Perturbation Theory for Linear Operators (Berlin: Springer-Verlag).
13. Lancaster, P., 1964, On eigenvalues of matrices dependent on a parameter. Numerische Mathematik, 6, 377-387.
14. Lunze, J., 1985, Determination of robust multivariable -controllers by means of experiments and simulation. Systems Analysis, Modelling and Simulation, 2, 227-249; 1989. Robust Multivariable Feedback Control (New York: Prentice Hall).
15. Morari, M., 1985, Robust stability of systems with integral control. IEEE Transactions on Automatic Control, 30, 574-577.
16. Morari, M., and Zafiriou, E., 1989, Robust Process Control (Englewood Cliffs, NJ: Prentice Hall).
17. Mustafa, D., 1994a, How much integral action can a control system tolerate? Linear Algebra and its Applications. (Third SpecialIssue on Linear Systems and Control), 205/206, 965-970; 1994b, Stabilization using low-gain PI control: SISO case. Systems and Networks: Mathematical Theory and Applications. Proceedings of the International Symposium MTNS '93, edited by U. Helmke, R. Mennicken and J. Saurerleds (Berlin: Akademie Verlag); 1994c, Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems. International Journal of Control, 61, 47-63; 1994d, Construction of all stabilizing first-order controllers by using the block Lyapunov sum to find critical gains. International Journal of Robust and Non-linear Control, submitted for publication.
18. Mustafa, D., and Davidson, T. N., 1994, Generalized integral controllability. Proceedings of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, Florida, U.S.A.
19. Rantzer, A., 1990, Hurwitz testing sets for parallel poly topes of polynomials. Systems and Control Letters, 15 (2), 99-104.
20. Saydy, L., Tits, A. L., and Abed, E. H., 1990, Guardian maps and the generalized stability of parameterized families of matrices and polynomials. Mathematics of Control, Signals and Systems, 3, 345-371.
21. Siljak, D. D., 1969, Nonlinear Systems: the Parameter Analysis and Design (New York: Wiley).
22. Son, Y. C., and Foo, Y. K., 1990, Generalization of strong Kharitonov theorems to the left sector. IEEE Transactions on Automatic Control, 35, 1378-1382.
23. Sun, J.-G., 1990, Multiple eigenvalue sensitivity analysis. Linear Algebra and its Applications, 137/138, 183-211.