A Modified Galerkin Approach to Adaptive Control Design in Heat Transfer Problems with Parameter Uncertainties
Control problems for distributed systems, described by parabolic PDEs, are considered. The goal of the study is to develop an adaptive strategy including online parameter identification for efficient control of the systems. The developed strategy is based on the method of integrodifferential relations, a projective 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.