Title :
Set point boundary control for a nonlinear distributed parameter system
Author :
Byrnes, C.I. ; Gilliam, D.S. ; Isidori, A. ; Shubov, V.I.
Author_Institution :
Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA
Abstract :
In this paper we define a problem of output regulation for nonlinear distributed parameter systems, in the non-equilibrium setting. We also give necessary and sufficient conditions for a controller to solve the output regulation problem. This result is then illustrated for the heat equation and for a class of nonlinear reaction-diffusion equations.
Keywords :
distributed parameter systems; nonlinear control systems; nonlinear differential equations; heat equation; necessary conditions; nonlinear distributed parameter systems; nonlinear equations; output regulation problem; set point boundary control; sufficient conditions; Control systems; Distributed parameter systems; Feedback loop; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Output feedback; Statistical distributions; Sufficient conditions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272579
