Optimal targeting of nonlinear chaotic systems using a novel evolutionary computing strategy

• Published in: Knowledge-based systems Vol. 107; pp. 261 - 270
• Main Authors: Wang, Yudong, Feng, Xiaoyi, Lyu, Xin, Li, Zhengyang, Liu, Bo
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2016
• Subjects: Chaos control; Chaos theory; Chaotic dynamics; Computational intelligence; Dynamical systems; Dynamics; Mathematical models; Nonlinearity; Optimization; Orbits; Strategy; Teaching-learning-based optimization; Chaotic dynamics; Chaos control; Optimization; Computational intelligence; Teaching-learning-based optimization
• ISSN: 0950-7051; 1872-7409
• DOI: 10.1016/j.knosys.2016.06.019

•Control of chaotic systems is formulated as constrained optimization problem.•Teaching-learning-based optimization is to direct the chaotic series.•The efficacy of TLBO based optimal control technique have been demonstrated. Control of chaotic systems to given targets is a subject of substantial and well-developed research issue in nonlinear science, which can be formulated as a class of multi-modal constrained numerical optimization problem with multi-dimensional decision variables. This investigation elucidates the feasibility of applying a novel population-based metaheuristics labeled here as Teaching-learning-based optimization to direct the orbits of discrete chaotic dynamical systems towards the desired target region. Several consecutive control steps of small bounded perturbations are made in the Teaching-learning-based optimization strategy to direct the chaotic series towards the optimal neighborhood of the desired target rapidly, where a conventional controller is effective for chaos control. Working with the dynamics of the well-known Hénon as well as Ushio discrete chaotic systems, we assess the effectiveness and efficiency of the Teaching-learning-based optimization based optimal control technique, meanwhile the impacts of the core parameters on performances are also discussed. Furthermore, possible engineering applications of directing chaotic orbits are discussed.