Optimal, adaptive and single state feedback control for a 3D chaotic system with golden proportion equilibria

Title:

Optimal, adaptive and single state feedback control for a 3D chaotic system with golden proportion equilibria

Creator:

Saberi Nik, Hassan, He, Ping, and Taha Talebian, Sayyed

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:822e62b8-278b-4e9f-b15d-5bc7eb7d8da0
uuid:822e62b8-278b-4e9f-b15d-5bc7eb7d8da0

Subject:

autonomous chaotic system, optimal control, single state feedback control, and Pontryagin Minimum Principle

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, the problems on purposefully controlling chaos for a three-dimensional quadratic continuous autonomous chaotic system, namely the chaotic Pehlivan-Uyaroglu system are investigated. The chaotic system, has three equilibrium points and more interestingly the equilibrium points have golden proportion values, which can generate single folded attractor. We developed an optimal control design, in order to stabilize the unstable equilibrium points of this system. Furthermore, we propose Lyapunov stability to control the Pehlivan-Uyaroglu system with unknown parameters by way of a feedback control approach and a single controller. Numerical simulations are performed to demonstrate the effectiveness of the proposed control strategies.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[596]-615

Source:

Kybernetika | 2014 Volume:50 | Number:4

Harvested from:

CDK

Metadata only:

false