Iterative Learning and Fractional Order Control for Complex Systems

ILC differs from most existing control methods in the sense that it exploits every possibility of incorporating past control information, such as tracking errors and control input signals, into the construction of the present control action to enable the controlled system to perform progressively be...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2019-01, Vol.2019 (1)
Main Authors: Bouakrif, Farah, Azar, Ahmad Taher, Volos, Christos K., Muñoz-Pacheco, Jesus M., Pham, Viet-Thanh
Format: Article
Language:English
Subjects:
Automation
Bifurcation theory
Chaos theory
Communications systems
Complex systems
Control algorithms
Control methods
Control systems
Control theory
Iterative methods
Mathematical models
Phase diagrams
Robots
Synchronism
Systems science
Tracking control
Tracking errors
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Summary:ILC differs from most existing control methods in the sense that it exploits every possibility of incorporating past control information, such as tracking errors and control input signals, into the construction of the present control action to enable the controlled system to perform progressively better from operation to operation. Since the ILC method was proposed by Uchiyama [8] and presented as a formal theory by Arimoto [9], this technique has been the center of interest of many researchers over the last decades [10–19]. Fractional order control systems have also received considerable attention recently, from both an academic and industrial viewpoint, because of their increased flexibility (concerning integer-order systems) which allows more accurate modeling of complex systems and the achievement of more challenging control requirements [20–24]. Complex dynamics of the fractional-order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams. [...]tracking synchronization controllers were theoretically designed and numerically investigated. [...]this system can provide rich encoding keys for chaotic communication.
ISSN:1076-2787
1099-0526
DOI:10.1155/2019/7958625