Stability Analysis and Region in control parameter space of thermal system with constant delays

Abstract

In this article, a comprehensive analysis of the Temperature Control System (TCS) with time-invariant communication delays. The first method, a precise approach, taking an account of gain and phase margin (GM &PM) respectively is introduced to determine the stable/delay margin based on TCS parameters. The technique implements a deletion process to change the Transcendental Characteristic Equation (TCE) into a novel polynomial root of the crossing frequency in a complex plane. The positive or real roots of the polynomial equation rightly equivalent with completely complex roots of the original system characteristic equation. The second technique, a graphical approach is executed to resolve the stabilizing province of controlled parameters for a given delay. The technique is fundamentally an extracting stable province and stability frontier line (SFL) in the control parameter space having user-evident gain & phase margin (GMPM). The extensive simulation analysis that the proposed techniques give an optimized performance of a thermal control system with time-invariant communication delays.