Title :
Optimal control of a time delay infinite order parabolic system with pointwise observation of the state
Author :
Kowalewski, Adam
Author_Institution :
Inst. of Automatics, AGH Univ. of Sci. & Technol., Cracow, Poland
Abstract :
Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear infinite order parabolic system in which multiple constant time delays appear in the state equation. Sufficient conditions for the existence of a unique solution of the infinite order parabolic time delay equation with the Dirichlet boundary condition are proved. The time horizon T is fixed. Making use of the Lions scheme [6], necessary and sufficient conditions of optimality for the Dirichlet problem with the quadratic performance functional with pointwise observation of the state and constrained control are derived.
Keywords :
delays; distributed control; linear systems; observers; optimal control; optimisation; Dirichlet boundary condition; Lions scheme; constrained control; linear infinite order parabolic system; linear parabolic systems; optimal distributed control problem; optimization problems; pointwise state observation; state equation; time delay infinite order parabolic system; Aerospace electronics; Boundary conditions; Delay effects; Distributed control; Equations; Optimal control; Optimization;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4577-0912-8
DOI :
10.1109/MMAR.2011.6031322