Posicast control of a class of fractional-order processes

Abstract

Abstract:The number of studies on the control of fractional-order processesprocesses having dynamics described by differential equations of arbitrary orderhas been increasing in the past two decades and it is now ubiquitous. Various methods have emerged and have been proven to effectively control such processes usually resulting in fractional-order controllers similar to their conventional integer-order counterparts, which include, but are not limited to fractional PID and fractional lead-lag controllers. However, such methods require a lot of computational effort and fractional-order controllers could be challenging when it comes to their synthesis and implementation. In this paper, we propose a simple yet effective delay-based controller with the use of the Posicast control methodology in controlling the overshoot of a fractional-order process of the class : {P( ) = 1/( α + )} having orders 1 < α < 2. Such controllers have proven to be easy to implement because they only require delays and summers. In this paper, the Posicast control methodology introduced in the past few years is modified to minimize the overshoot of the processes step response to a level that is acceptable in control engineering and automation practices. Furthermore, proof of the existence of overshoot for such class of processes, as well as the determination of the peak-time of the open-loop response of a fractional-order process of the class is presented. Validation through numerical simulations for a class of fractional-order processes are presented in this paper.

Aplicaciones de Posicast en el diseño electrónico

“…Aplicaciones de Posicast en el diseño electrónico: una revisión conceptual y robustos (K. Abidi et al, 2016;Khalid Abidi et al, 2017;Khalid Abidi & Xu, 2015;Khalid Abidi & Yildiz, 2015;Khalid Abidi & Yildizt, 2011); diseño de controladores Posicast PID usando un algoritmo de búsqueda gravitacional (de Moura Oliveira et al, 2015); la aplicación de Posicast a plantas/procesos de orden fraccional (Gonzalez et al, 2013); la aplicación de Posicast/ IS de orden superior al problema del péndulo doble mediante un sistema de control basado en modelo de referencia (Fujioka & Singhose, 2018). También se realiza un interesante estudio sobre la aplicación de Posicast en casos en donde las condiciones iniciales son diferentes de cero (Esquivel & Tello, 2008).…”