TY - JOUR
N2 - The problem of control of rod heating process by changing the temperature along the rod whose ends are thermally insulated is considered. It is assumed that, along with the classical boundary conditions, nonseparated multipoint intermediate conditions are also given. Using the method of separation of variables and methods of the theory of control of finite-dimensional systems with multipoint intermediate conditions, a constructive approach is proposed to build the sought function of temperature control action. A necessary and sufficient condition is obtained, which the function of the distribution of the rod temperature must satisfy, so that under any feasible initial, nonseparated intermediate, and final conditions, the problem is completely controllable. As an application of the proposed approach, control action with given nonseparated conditions on the values of the rod temperature distribution function at the two intermediate moments of time is constructed.
L1 - http://journals.pan.pl/Content/120821/art01.pdf
L2 - http://journals.pan.pl/Content/120821
EP - 493
DO - 10.24425/acs.2021.138689
KW - heating control
KW - temperature
KW - intermediate moments of time
KW - nonseparated multipoint conditions
KW - complete controllability
A1 - Barseghyan, Vanya R.
PB - Committee of Automatic Control and Robotics PAS
T1 - The problem of control of rod heating process with nonseparated conditions at intermediate moments of time
DA - 2021.09.27
SP - 481
UR - http://journals.pan.pl/dlibra/publication/edition/120821
T2 - Archives of Control Sciences
ER -