Relative-Time-Delay-Aware Self-Optimizing-Control for First-Order-Plus-Delay-Time Systems

Abstract

The first order plus delay time (FOPDT) systems, are a class of commonly used model family to describe thermal or temperature control systems which comprise 80% of all control tasks. The delay $(L)$ over the time constant $(\tau)$ is known as “relative time delay”. In practice, this relative time delay may change over different tasks or missions. How to design a smart controller that can be aware of this change and can still seek to achieve the optimal performance, is the main theme of this paper. We follow our previous achievements in self-optimizing control (SOC) using a globalized constrained Nelder-Mead (GCNM) on-line optimization algorithm. We first reviewed our SOC framework under GCNM for FOPDT and using extensive examples we shall how the SOC module is made aware of changes in relative time delay