Variational Approach to Adaptive Control Design for Distributed Heating Systems Under Disturbances.

Control problems for distributed heating systems described by parabolic partial differential equations are considered in this paper. The goal of the paper is to develop an adaptive strategy including online parameter identification for efficient control of heat transfer systems. The developed strategy is based on the method of integrodifferential relations, a variational approach, and a suitable finite element technique. An adaptive control algorithm with predictive estimates of the desired output trajectories is proposed and its specific features are discussed. A validation of the presented control laws is performed taking into account the explicit local and integral error estimates resulting directly from the method of integrodifferential relations. [ABSTRACT FROM AUTHOR]