A novel fuzzy mixed H2/H∞ optimal controller for hyperchaotic financial systems

Stelios Bekiros, Hadi Jahanshahi, Frank Bezzina and Ayman A. Aly

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: Due to the importance of consumed control energy in financial systems, employing an optimal controller for these systems could be beneficial. Also, the presence of disturbances is undeniable in most of these systems. Hence, applying optimal mixed H2/H∞ control, which posses the positive features of both H∞ and H2 control, could bring up luminous results for these systems. However, in the literature, no attempt has been made to design thistypeof controller for chaotic financial systems. This issue motivated the current study. In this study, we present a type-2 fuzzy-based optimal mixed H2/H∞ control for a hyperchaotic financial system. In this approach, H∞ attenuates the effect of uncertainties and through H2the consumed control energy is minimized. Also, since the proposed controller is equipped with a type-2 fuzzy observer, it can easily handle uncertainties and unknown functions. Via Lyapunov theorem, it is confirmed that all signals in the system are bounded. In the numerical simulation, firstly, a hyperchaotic financial system with coexisting attractors is investigated. The proposed controller is then applied to the financial system, and the proposed technique's performance is assessed. Numerical simulations clearly confirm the theoretical claims about the effectiveness of the proposed methodology.

Keywords: H2/H∞ control; optimal control; type-2 fuzzy interference; robust tracking control; chaos control; financial systems (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921002319
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002319

DOI: 10.1016/j.chaos.2021.110878

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().