Control synthesis of systems with hereditary properties

Classical control system design methods for linear systems cannot be directly applied to systems with delays, aftereffects or with any kind of hereditary properties. With respect to frequent occurrence of these phenomena in controlled plants a so-called anisochronic state model based on a functional modification of standard state space approach has been introduced to manage any kind of aftereffects in system dynamics. Using this model a new method of control parameter assignment is presented providing a prescribed oscillation damping (or characteristic equation roots) of the control process. The total differential of system characteristic functions and Lagrange multipliers are applied in the system synthesis. The design procedure is demonstrated on a heat transfer control.<>