Adaptation and regulation with signal detection implies internal model

Systems and Control Letters

Volumn 50, Issue 2, 2003, Pages 119-126

  Sontag, Eduardo D ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Adaptation; Disturbances; Internal model; Regulation

Indexed keywords

CYBERNETICS; MATHEMATICAL MODELS; SIGNAL DETECTION; THEOREM PROVING;

INTERNAL MODEL PRINCIPLE (IMP);

NONLINEAR CONTROL SYSTEMS;

EID: 0043013344     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00136-1     Document Type: Article

References (16)

1. Francis B.A., Wonham W.M. The internal model principle for linear multivariable regulators. Appl. Math. Optim. 2:1975;170-194.
2. J.S.A. Hepburn, The internal model principle of regulator theory on differentiable manifolds, Ph.D. Thesis, Department of Electrical Engineering, University of Toronto, July 1981.
3. Hepburn J.S.A., Wonham W.M. The induced subflow pertaining to the internal model principle. Bednarek A.R., Cesari L. Dynamical Systems II (Second International Symposium on Dynamical Systems, Gainesville, February 1981). 1982;555-564 Academic Press, New York.
4. Hepburn J.S.A., Wonham W.M. Error feedback and internal models on differentiable manifolds. IEEE Trans. Automat. Control. 29:1984;397-403.
5. Hepburn J.S.A., Wonham W.M. Structurally stable nonlinear regulation with step inputs. Math. Systems Theory. 17:1984;319-333.
6. Hepburn J.S.A., Wonham W.M. The semistable-center-unstable manifold near a critical element. J. Math. Anal. Appl. 103:1984;321-331.
7. Hermann R., Krener A.J. Nonlinear controllability and observability. IEEE Trans. Automat. Control. 22:1977;728-740.
8. P.A. Iglesias, A. Levchenko, A general framework for achieving integral control in chemotactic biological signaling mechanisms, in: Proceedings of the IEEE Conference on Decision and Control, Orlando, December 2001, IEEE Press, New York, 2001, pp. 843-848.
9. Isidori A. Nonlinear Control Systems. 3rd Edition:1995;Springer, London.
10. Isidori A. Nonlinear Control Systems II. 1999;Springer, London.
11. Isidori A., Byrnes C.I. Output regulation of nonlinear systems. IEEE Trans. Automat. Control. 35:1990;131-140.
12. Liberzon D., Morse A.S., Sontag E.D. Output-input stability and minimum-phase nonlinear systems. IEEE Trans. Automat. Control. 47:2002;422-436.
13. Sontag E.D. Mathematical Control Theory, Deterministic Finite Dimensional Systems. 2nd Edition:1988;Springer, New York.
14. W.M. Wonham, On structurally stable regulation with step inputs, Systems Control Report 7710 (revised), Department of Electrical Engineering, University of Toronto, 1977.
15. Wonham W.M. Linear Multivariable Control: A Geometric Approach. 3rd Edition:1985;Springer, New York.
16. Yi T.-M., Huang Y., Simon M.I., Doyle J. Robust perfect adaptation in bacterial chemotaxis through integral feedback control. Proc. Nat. Acad. Sci. USA. 97:2000;4649-4653.