Performance Improvement of Low-Cost Iterative Learning-Based Fuzzy Control Systems for Tower Crane Systems

Abstract

This paper is dedicated to the memory of Prof. Ioan Dzitac, one of the fathers of this journal and its founding Editor-in-Chief till 2021. The paper addresses the performance improvement of three Single Input-Single Output (SISO) fuzzy control systems that control separately the positions of interest of tower crane systems, namely the cart position, the arm angular position and the payload position. Three separate low-cost SISO fuzzy controllers are employed in terms of first order discrete-time intelligent Proportional-Integral (PI) controllers with Takagi-Sugeno-Kang Proportional-Derivative (PD) fuzzy terms. Iterative Learning Control (ILC) system structures with PD learning functions are involved in the current iteration SISO ILC structures. Optimization problems are defined in order to tune the parameters of the learning functions. The objective functions are defined as the sums of squared control errors, and they are solved in the iteration domain using the recent metaheuristic Slime Mould Algorithm (SMA). The experimental results prove the performance improvement of the SISO control systems after ten iterations of SMA.

Fictitious Reference Iterative Tuning of Discrete-Time Model-Free Control for Tower Crane Systems

“…The informational structure including the connection between the ΤC system and the personal computer through an interface is illustrated in Figure 1. (Roman et al, 2019a;Roman et al, 2019b;Roman et al, 2020;Hedrea et al, 2021;Precup et al, 2021b;Roman et al, 2021;Precup et al, 2022a;Precup et al, 2022b;Precup et al, 2022c;Precup et al, 2022d;Roman et al, 2022a) The mathematical model of the ΤCS is fully detailed in (Precup et al, 2021b;Roman et al, 2021;Precup et al, 2022a). If the time argument is omitted in order to simplify things, the state-space model of the ΤC system is derived from Inteco (2006) and expressed as (Precup et al, 2021b;Roman et al, 2021;Precup et al, 2022a)…”

“…Figure1. The informational structure of ΤCS laboratory equipment(Roman et al, 2019a;Roman et al, 2019b;Roman et al, 2020;Hedrea et al, 2021;Precup et al, 2021b;Roman et al, 2021;Precup et al, 2022a;Precup et al, 2022b;Precup et al, 2022c;Precup et al, 2022d;Roman et al, 2022a) …”