Two methods replace a delayed object in optimal control problems for a distributed parameter system

Abstract

- The delayed control objects often happen in many different fields such as industry, transport, transportation, military... Normally, when designing the controller, if the object is the delayed first order inertia system which is approximated by two systems of the first order inertia, this often leads to the large error if the time delay () is significantly large compared to its time constant (). This paper presents a study comparing the accuracy of the solution when replacing a delayed object by the Taylor and the first-order Pade approximation models to solve the problem of optimal control for a distributed parameter system with time delay (DPSTD). The system is applied to a one-sided heat-transfer system in a heating furnace to control temperature for a slab following the most accurate burning standards.