OPTIMAL, ADAPTIVE AND SINGLE STATE FEEDBACK CONTROL FOR A 3D CHAOTIC SYSTEM WITH GOLDEN PROPORTION EQUILIBRIA

被引：0

作者：

Nik, Hassan Saberi ^{[1
]}

He, Ping ^{[2
,3
]}

Talebian, Sayyed Taha ^{[1
]}

机构：

[1] Islamic Azad Univ, Neyshabur Branch, Young Researchers & Elite Club, Neyshabur, Iran

[2] Univ Macau, Dept Electromech Engn, Fac Sci & Technol, Taipa 999078, Peoples R China

[3] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

来源：

KYBERNETIKA | 2014年 / 50卷 / 04期

基金：

中国国家自然科学基金;

关键词：

autonomous chaotic system; optimal control; adaptive control; single state feedback control; Pontryagin Minimum Principle; COMPLEX DYNAMICAL NETWORK; HYPERCHAOS CONTROL; LORENZ SYSTEM; SYNCHRONIZATION; REALIZATION; MODEL;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：596 / 615

页数：20

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