Real-time processes frequently experience dead-time, which occurs when a process variable is unable to adapt to changes in the set point. Dead time makes it challenging to operate and stabilise systems, especially in control feedback loops. In continuous process systems, the Padé approximation offers a reliable approximation of dead time that may be employed in future simulations of related First Order plus Dead Time Models. The identical numerator-denominator derivative power, however, causes the conventional Padé approximation to shock at time t=0. As a result, the estimated dead time is inaccurate. To get around this problem, increasing orders of Padé approximation are utilised. The following study discusses the related First Order plus Dead-Time models of two blending systems of orders four and seven. As the Padé approximation orders rise, so does the response’s accuracy. The oscillations are magnified on a much smaller scale, and the approximation attempts to synchronise with the planned response curve in the positive area, as opposed to having a single, significant dip in the negative zone (as seen in the first several orders of Padé approximation). All simulations are performed using MATLAB.
Author (s) Details:
Avani Kirit Mehta,
Department of Electronics & Instrumentation Engineering, Birla Institute of Technology & Science, Pilani, Dubai Campus, Dubai, U.A.E.
Department of EEE, Birla Institute of Technology & Science, Pilani, Dubai Campus, Dubai, U.A.E.
Please see the link here: https://stm.bookpi.org/TIER-V5/article/view/7474
Keywords: First order pus dead time, process dead time, padé approximation, process gain constant, two point method of approximation.