caa a22 4500 44536100X CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9794-3 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9794-3 Intelligent quadratic optimal synchronization ofuncertain chaotic systems via LMI approach [Elektronische Daten] [Chaio-Shiung Chen, Heng-Hui Chen] This paper proposes an intelligent quadratic optimal control scheme via linear matrix inequality (LMI) approach for the synchronization of uncertain chaotic systems with both external disturbances and parametric perturbations. First, a four-layered neural fuzzy network (NFN) identifier is constructed to estimate system nonlinear dynamics. Based on the NFN identifier, an intelligent quadratic optimal controller is developed with robust hybrid control scheme, in which H ∞ optimal control and variable structure control (VSC) are embedded to attenuate the effects of external disturbances and parametric perturbations. The adaptive tuning laws of network parameters are derived in the sense of the Lyapunov synthesis approach to ensure network convergence, and the sufficient criterion for existence of the controller is formulated in the linear matrix inequality (LMI) form to guarantee the quadratic optimal synchronization performance. Finally, a numerical simulation example is illustrated by the chaotic Chua's circuit system to demonstrate the effectiveness of our scheme. Springer Science+Business Media B.V., 2010 Chaos synchronization nationallicence Quadratic optimal control nationallicence Neural-fuzzy-network nationallicence Linear matrix inequality nationallicence Chen Chaio-Shiung Department of Mechanical and Automation Engineering, DaYeh University, No. 168, University Road, 51591, Dacun, Changhua, Taiwan aut Chen Heng-Hui Department of Mechanical Engineering, HsiuPing Institute of Technology, No. 11, Gungye Road, 51412, Dali City, Taichung, Taiwan aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 171-181 0924-090X 63:1-2<171 2011 63 11071 https://doi.org/10.1007/s11071-010-9794-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9794-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Chaio-Shiung Department of Mechanical and Automation Engineering, DaYeh University, No. 168, University Road, 51591, Dacun, Changhua, Taiwan aut NATIONALLICENCE 700 1- Chen Heng-Hui Department of Mechanical Engineering, HsiuPing Institute of Technology, No. 11, Gungye Road, 51412, Dali City, Taichung, Taiwan aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 171-181 0924-090X 63:1-2<171 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer