Experimental results of a control time delay system using optimal control

Abstract

SUMMARYThe optimal control for a temperature system with time delay is considered. Experimental results of the control system are presented in this contribution. The integral term in the controller is approximated by a quadrature method. Experimental results obtained demonstrate the effectiveness of the approximation method. By a simple analysis in time domain, we demonstrate the robustness of the optimal controller. We compare the optimal control's performance with an industrial PID controller. This controller was robustly tuned. The experiments indicate the correct optimization of the plant when the optimal control was employed, despite limitations in the sensor, actuators, non-modeled dynamics, and uncertain parameters of the process.

Solving optimal control problems with control delays using direct transcription

“…subject to the control delay differential systeṁ Even though (8) appears to be very simple, it is representative of control problems that have been shown to provide useful models for real physical systems [34]. Our numerical solutions are in Fig.…”

Análisis de estabilidad de controladores borrosos tipo Mamdani mediante el cálculo del exponente de Lyapunov

“…Como se resume en la sección de Trabajos Relacionados, es posible emplear el exponente de Lyapunov como medida cuantitativa para la predicción de valores futuros en un sistema. Esta idea es prometedora para sistemas con retardo, en donde técnicas de predicción son empleadas para compensar los retrasos, tal como se presenta en (Santos et al, 2012). También es posible emplear el exponente de Lyapunov como una medida auto-referenciada de la estabilidad de una planta tal que se retro-alimente para la adaptabilidad del control.…”