Time-varying and adaptive discrete-time low-gain control of infinite-dimensional linear systems with input nonlinearities

Mathematics of Control, Signals, and Systems

Volumn 13, Issue 4, 2000, Pages 293-317

  Logemann, H ^a   Ryan, E P ^a  

^a University of Bath   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONTROL NONLINEARITIES; CONTROL SYSTEM ANALYSIS; ROBUSTNESS (CONTROL SYSTEMS); SAMPLED DATA CONTROL SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

INFINITE-DIMENSIONAL LINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0034500175     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009871     Document Type: Article

References (21)

1. F. H. Clarke. Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
2. P. A. Cook. Controllers with universal tracking properties, Proc. Internat. IMA Conf. on Control: Modelling, Computation, Information, Manchester, 1992.
3. G. W. M. Coppus, S. L. Sha and R. K. Wood. Robust multivariable control of a binary distillation column, Proc. IEE-D, 130 (1983), 201-208.
4. E. J. Davison. Multivariable tuning regulators: the feedforward and robust control of a general servomechanism problem, IEEE Trans. Automat. Control, 21 (1976), 35-47
5. G. Gripenberg, S.-O. Londen and O. Staffans. Volterra Integral and Functional Equations, Cambridge University Press, Cambridge, 1990.
6. H. Logemann and E. P. Ryan. Time-varying and adaptive integral control of infinite-dimensional regular linear systems with input nonlinearities, SIAM J. Control Optim., 38 (2000), 1120-1144.
7. H. Logemann, E. P. Ryan and S. Townley. Integral control of infinite-dimensional linear systems subject to input saturation, SIAM J. Control Optim, 36 (1998), 1940-1961.
8. H. Logemann, E. P. Ryan and S. Townley. Integral control of linear systems with actuator nonlinearities: lower bounds for the maximal regulating gain, IEEE Trans. Automat. Control, 44(1999), 1315-1319.
9. H. Logemann and S. Townley. Discrete-time low-gain control of uncertain infinite-dimensional systems, IEEE Trans. Automat. Control, 42 (1997), 22-37.
10. H. Logemann and S. Townley. Low-gain control of uncertain regular linear systems, SIAM J. Control Optim., 35 (1997), 78-116.
11. H. Logemann and S. Townley. Adaptive integral control of time-delay systems, Proc. IEE-D, 144 (1997), 531-536.
12. J. Lunze. Experimentelle Erprobung einer Einstellregel für PI-Mehrgrößenregler bei der Herstellung von Ammoniumnitrat-Harnstoff-Lösung, Messen Steuern Regeln, 30 (1987), 2-6.
13. J. Lunze. Robust Multivariable Feedback Control, Prentice-Hall, London, 1988.
14. D. E. Miller and E. J. Davison. The self-tuning robust servomechanism problem, IEEE Trans. Automat. Control, 34 (1989), 511-523.
15. D. E. Miller and E. J. Davison. An adaptive tracking problem with a control input constraint, Automatica, 29 (1993), 877-887.
16. M. Morari. Robust stability of systems with integral control, IEEE Trans. Automat. Control, 30 (1985), 574-577.
17. A. Pazy. Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
18. G. Weiss. Admissibility of unbounded control operators, SIAM J. Control Optim., 27 (1989), 527-545.
19. G. Weiss. Admissible observation operators for linear semigroups, Israel J. Math., 65 (1989), 17-43.
20. G. Weiss. The representation of regular linear systems on Hubert spaces, pp. 401-416 in Distributed Parameter System, edited by F. Kappel, K. Kunisch and W. Schappacher, Birkhäuser Verlag, Basel, 1989.
21. G. Weiss. Transfer functions of regular linear systems, part I: characterization of regularity, Trans. Amer. Math. Soc., 342 (1994), 827-854.