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Q-S synchronization; unified system; fractional-order system.

Concept of Q-S synchronization for fractional-order systems is introduced and Q-S synchronization of the fractional-order unified system is investigated in this paper. On the basis of the stability theory of the fractional-order system, two suitable control schemes are designed to achieve Q-S synchronization of the fractional-order unified systems under the given observable variables of drive system and the response system. Theoretical analysis and numerical simulations are shown to demonstrate the validity and feasibility of the proposed method.

Yi Chai¹ Liping Chen¹ Rancho Wu² Juan Dai³

1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology, School of Automation, Chongqing University, Chongqing 400044, People’s Republic of China
2. School of Mathematics, Anhui University, Hefei 230039, People’s Republic of China
3. School of Automation, Beijing Institute of Technology, Beijing 100081, People’s Republic of China

Published

March 2013

Manuscript received

29 September 2011

Manuscript revised

21 September 2012

Accepted

8 October 2012