Parameter estimation of fractional-order arbitrary dimensional hyperchaotic systems via a hybrid adaptive artificial bee colony algorithm with simulated annealing algorithm. (February 2018)

• Record Type: Journal Article
• Authors: Hu, Wei; Yu, Yongguang; Gu, Wenjuan
• Is Part Of: Engineering applications of artificial intelligence. Volume 68(2017:Aug.)
• Page Start: 172
• Page End: 191
• Publication Date: 2018-02
• Subjects: Parameter estimation -- Fractional order -- Hyperchaotic systems -- Hybrid algorithm; Engineering -- Data processing -- Periodicals; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Ingénierie -- Informatique -- Périodiques; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; Artificial intelligence; Engineering -- Data processing; Expert systems (Computer science); Periodicals; 620.00285
• DOI: 10.1016/j.engappai.2017.10.002
• Languages: English
• ISSNs: 0952-1976

Abstract

Abstract: Hyperchaos can be observed in fractional-order nonlinear systems with suitable orders. The knowledge about systematic parameters and fractional orders is important for control and synchronization of fractional-order hyperchaotic systems. In this article, parameter estimation of fractional-order arbitrary dimensional hyperchaotic systems is investigated. Firstly, estimation of systematic parameters and fractional orders is formulated as a multi-dimensional optimization problem by treating the fractional orders as additional parameters. Secondly, a novel method called hybrid adaptive artificial bee colony algorithm with simulated annealing algorithm is proposed to deal with this optimization problem. Finally, numerical simulations and comparisons with other typical algorithms are done to demonstrate the effectiveness of the proposed algorithm, which provides a promising tool for estimation of fractional-order arbitrary dimensional hyperchaotic systems as well as other numerical optimization problems in different fields.