Masoud Taleb Ziabari; Alireza Sahab

Control and Synchronization of Hyperchaotic System based on SDRE method

Full Text (PDF, 430KB), PP.44-50

Views: 0 Downloads: 0

Author(s)

Masoud Taleb Ziabari ^1,* Alireza Sahab ²

1. Faculty of Engineering, Computer Engineering Group, Ahrar University, Rasht, Iran

2. Faculty of Engineering, Electrical Engineering Group, Islamic Azad University, Lahijan Branch, Iran

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2014.03.07

Received: 17 Mar. 2014 / Revised: 16 Apr. 2014 / Accepted: 20 May 2014 / Published: 8 Jun. 2014

Index Terms

Hyperchaotic system, state dependent Riccati equation (SDRE), optimal control, robust control, stabilization, synchronization

Abstract

In this paper, stabilization and synchronization problems of the hyperchaotic system is investigated. For this reason, state dependent Riccati equation (SDRE) is used. First, stabilizer is designed by SDRE method. Then, robust controller is designed that it can stabilize hyperchaotic system with uncertainly. Finally, synchronization problem between two hyperchaotic systems is considered. The optimal controller is designed that it synchronizes two hyperchaotic systems. Numerical simulation results are presented to show the effectiveness of the proposed controllers.

Cite This Paper

Masoud Taleb Ziabari, Ali Reza Sahab, "Control and Synchronization of Hyperchaotic System based on SDRE Method", International Journal of Information Engineering and Electronic Business(IJIEEB), vol.6, no.3, pp.44-50, 2014. DOI:10.5815/ijieeb.2014.03.07

Reference

[1]Chao-Chung Peng, Chieh-Li Chen. Robust chaotic control of Lorenz system by backstepping design. Chaos, Solitons and Fractals 37 (2008) 598–608.

[2]Cheng-Chi Wang, Neng-Sheng Pai, Her-TerngYau. Chaos control in AFM system using sliding mode control by backstepping design. Commun Nonlinear SciNumerSimulat 15 (2010) 741–751.

[3]Faqiang Wang, Chongxin Liu. A new criterion for chaos and hyperchaos synchronization using linear feedback control. Physics Letters A 360 (2006) 274–278.

[4]Yongguang Yu, Suochun Zhang. Adaptive backstepping synchronization of uncertain chaotic system. Chaos, Solitons and Fractals 21 (2004) 643–649.

[5]Sinha SC, Henrichs JT, Ravindra BA. A general approach in the design of active controllers for nonlinear systems exhibiting chaos. Int J Bifurcat Chaos 2000;10(1):165–78.

[6]M.T. Yassen. Chaos control of chaotic dynamical systems using backstepping design. Chaos, Solitons and Fractals 27 (2006) 537–548.

[7]Ali Reza Sahab and Mohammad Haddad Zarif. Improve Backstepping Method to GBM. World Applied Sciences Journal 6 (10): 1399-1403, 2009, ISSN 1818-4952.

[8]Sahab, A.R. and M. Haddad Zarif. Chaos Control in Nonlinear Systems Using the Generalized Backstopping Method. American J. of Engineering and Applied Sciences 1 (4): 378-383, 2008, ISSN 1941-7020.

[9]Ali Reza Sahab, MasoudTalebZiabari, Seyed Amin SadjadiAlamdari. Chaos Control via Optimal Generalized Backstepping Method. International Review of Electrical Engineering (I.R.E.E), Vol.5, n.5.

[10]Mugdha S. Naik, Sahjendra N. Singh, State-dependent Riccati equation-based robust dive plane control of AUV with control constraints, Ocean Engineering 34 (2007) 1711–1723.

[11]Insu Chang and Soon-Jo Chung, Exponential Stability Region Estimates for the State-Dependent Riccati Equation Controllers, Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference Shanghai, P.R. China, December 16-18, 2009.

[12]TayfunÇimen, State-Dependent Riccati Equation (SDRE) Control: A Survey, Proceedings of the 17th World Congress The International Federation of Automatic Control Seoul, Korea, July 6-11, 2008.

[13]A. Jayaram, M. Tadi, Synchronization of chaotic systems based on SDRE method, Chaos, Solitons and Fractals 28 (2006) 707–715.

[14]Muhammad KashifSiddiq, Fang Jian Cheng, and Yu Wen Bo, State Dependent Riccati Equation Based Roll Autopilot for 122mm Artillery Rocket, World Academy of Science, Engineering and Technology 72 2012.

[15]Sara Dadras, Hamid Reza Momeni, Four-scroll hyperchaos and four-scroll chaos evolved from a novel 4D nonlinear smooth autonomous system, Physics Letters A 374 (2010) 1368–1373.

[16]Feng Lin, Robust Control Design An Optimal Control Approach, ISBN 978-0-470-03191-9.

[17]H. Beikzadeh, H. D. Taghirad, Exponential Nonlinear Observer Design Based on Differential State-Dependent Riccati Equation, Journal of Control, Vol. 4, No. 4, Winter 2011, ISSN 2008‐8345.

International Journal of Information Engineering and Electronic Business (IJIEEB)