Internal model control of infinite dimensional systems

An internal model control (IMC) design method is proposed that is applicable to linear infinite-dimensional systems. An infinite-dimensional filter is coupled with the inverse of the irrational transfer function between the process input and output, to produce a physically realizable controller with a tuning parameter to trade off nominal performance with robustness. The proposed IMC design technique is applied to two boundary control problems for mass transport described by partial differential equations, in which the proposed method provides much better robust performance compared to regular IMC design applied to the finite-dimensional approximation of the transfer function.