# Analysis of the error in an iterative algorithm for solution of regulator problems for linear distributed parameter control systems

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This work is based on the classical geometric method, for solving problems of regulation involving asymptotic tracking and disturbance rejection for linear distributed parameter systems. The classical geometric method is based on the solution of a coupled pair of operator equations referred to as Regulator Equations. In general it is not easy to solve the Regulator Equations or even obtain accurate numerical solution for simple control problems. %In fact, most of the time the classical geometric method gives the solvability conditions of the regulator problem, instead the actual solution.

In this thesis, we present a methodology for tracking and disturbance rejection, which is more general
than the one based on the Regulator Equations, and applies to general smooth signals.

This methodology is based on an iterative algorithm known as the