Output regulation for delay systems: Tracking and disturbance rejection for an oscillator with delayed damping

IEEE Conference on Control Applications - Proceedings

Volumn 1, Issue , 2002, Pages 554-558

  Gilliam, David S ^a   Shubov, Victor I ^a   Byrnes, Christopher I ^a   Vugrin, Eric D ^a  

^a TEXAS TECH UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; HARMONIC ANALYSIS; LINEAR CONTROL SYSTEMS; NUMERICAL METHODS; OSCILLATORS (ELECTRONIC);

DELAYED DAMPING; OUTPUT REGULATION;

DELAY CONTROL SYSTEMS;

EID: 0036033766     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. H.T. Banks, The representation of solutions of linear functional differential equations, J. Diff. Eqs., 5, (1969), 399-410.
2. H.T. Banks and J. Burns, An abstract framework for approximate solutions to optimal control problems governed by heriditary systems, Proc. Int. Conf. Diff. Eqns., Univ. Southern Calif., 1974, Academic Press, 1975.
3. H.T. Banks and F. Kappel, Spline approximations for functional differential equations, J. of Differential Eqs., 34, No. 3, 496-522 (1979).
4. H.T. Banks, J.A. Burns and E.M. Cliff, Spline-Based approximation methods for control and identification of hereditary systems, Preprint: Invited Lecture, International Symposium on Systems Optimization and Analysis, INRIA, France 1978.
5. H.T. Banks, J.A. Burns, and E.M. Cliff, Parameter estimation and identification for systems with delays, SIAM J. Control and Optimization, 19 (1981) 791-828.
6. H.T. Banks, Approximation of delay systems with applications to control and identification, Invited Lecture, Conference on FDE and Approximation of Fixed Points, Universität Bonn 1978.
7. C.I. Byrnes, D.S. Gilliam and V.I. Shubov, Output regulation for linear delay systems, Preprint Texas Tech University, 2002.
8. C.I. Byrnes, D.S. Gilliam, I.G. Laukó and V.I. Shubov, Output regulation for linear distributed parameter systems, IEEE Trans. Aut. Control, Volume 45, Number 12, December 2000, 2236-2252.
9. J.B. Conway, Functions of One Complex Variable, Springer-Verlag, 2nd Edition, 1978.
10. R.F. Curtain and H.J. Zwart, An Introduction to Infinite-Dimensional Linear Systems, Springer-Verlag, New York, 1995.
11. B.A. Francis, The linear multivariable regulator problem, SIAM Journal of Control and Optimization, 14:486-505, 1977.
12. A. Isidori, C.I. Byrnes, Output regulation of nonlinear systems, in IEEE Trans. Autom. Control, AC-35: 131-140, 1990.
13. H.W. Knobloch, A. Isidori and D. Flockerzi, Topics in Control Theory, Birkhäuser Verlag, Basel, 1993.
14. S.A. Pohjolainen, Robust Multivariable PI-Controller for Infinite Dimensional Systems, IEEE Trans. Aut Control, (1982), Vol. AC-27, No. 1, 17-30.
15. S.A. Pohjolainen, On the asymptotic regulation problem for distributes parameter systems, Proc. Third Symposium on Control of Distributed Parameter Systems, Toulouse, France (July 1982).
16. J.M. Schumacher, Finite-dimensional regulators for a class of infinite dimensional systems, Systems and Control Letters, 3 (1983), 7-12.
17. J.M. Schumacher, Dynamic Feedback in Finite and Infinite-Dimensional Linear Systems, Mathematical Centre Tracts No. 143, (Mathematical Centre, Amsterdam, 1981).
18. L.N. Trefethen, Pseudospectra of linear operators, SIAM Rev., 39 (1997), 383-406.