High performance fuzzy-Padé controllers: Introduction and comparison to fuzzy controllers

• Published in: Nonlinear dynamics Vol. 71; no. 1-2; pp. 141 - 157
• Main Authors: Abedinnasab, Mohammad H., Yoon, Yong-Jin, Saeedi-Hosseiny, Marzieh S.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 2013; Springer Nature B.V
• Subjects: Approximants; Automotive Engineering; Case studies; Classical Mechanics; Control; Controllers; Convergence; Dynamical Systems; Energy consumption; Engineering; Fuzzy control; Fuzzy systems; Heuristic; Mechanical Engineering; Nonlinear dynamics; Original Paper; Pendulums; Robustness; Robustness (mathematics); Vibration; Single inverted pendulum system; Ball and beam system; Fuzzy controller; Padé approximant; Double inverted pendulum system; Fuzzy-Padé controller
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-012-0647-0

In this paper, a new highly convergent, efficient, and fast response control technique entitled as fuzzy-Padé control method is introduced. It provides a simple methodology to exploit the heuristic knowledge in controlling a system. Fuzzy–Padé controllers originate from a unification of heuristic knowledge expressed as the rule base, and Padé approximants. In this method, fuzzy singleton rules are used to generate the rule base. Accordingly, unknown parameters in the Padé approximant are determined using these rules. The fuzzy-Padé controllers possess certain advantages over fuzzy controllers, and they can be applied in situations where fuzzy controllers previously failed. To demonstrate the effectiveness and robustness of the method, the simulation results for three case studies, the single inverted pendulum, ball and beam, and parallel double inverted pendulum systems are presented. In the case studies, it is shown that the fuzzy-Padé controller has greater convergence region, is quite faster, and its energy consumption is much lower than the fuzzy controller.