caa a22 4500 445360690 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9813-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9813-4 Observer-based synchronization scheme for a class ofchaotic systems using contraction theory [Elektronische Daten] [B. Sharma, I. Kar] In this paper, an adaptive synchronization scheme is proposed for a class of nonlinear systems. The design utilizes an adaptive observer, which is quite useful in establishing a transmitter-receiver kind of synchronization scheme. The proposed approach is based on contraction theory and provides a very simple way of establishing exponential convergence of observer states to actual system states. The class of systems addressed here has uncertain parameters, associated with the part of system dynamics that is a function of measurable output only. The explicit conditions for the stability of the observer are derived in terms of gain selection of the observer. Initially, the case without uncertainty is considered and then the results are extended to the case with uncertainty in parameters of the system. An application of the proposed approach is presented to synchronize the family of N chaotic systems which are coupled through the output variable only. The numerical results are presented for designing an adaptive observer for the chaotic Chua system to verify the efficacy of the proposed approach. Explicit bounds on observer gains are derived by exploiting the properties of the chaotic attractor exhibited by Chua's system. Convergence of uncertain parameters is also analyzed for this case and numerical simulations depict the convergence of parameter estimates to their true value. Springer Science+Business Media B.V., 2010 Synchronization nationallicence Observer nationallicence Chaotic systems nationallicence Exponential convergence nationallicence Contraction nationallicence Virtual system nationallicence Sharma B. Department of Electrical Engineering, National Institute of Technology, 177005, Hamirpur, Himachal Pradesh, India aut Kar I. Department of Electrical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, 110016, New Delhi, India aut Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 429-445 0924-090X 63:3<429 2011 63 11071 https://doi.org/10.1007/s11071-010-9813-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9813-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sharma B. Department of Electrical Engineering, National Institute of Technology, 177005, Hamirpur, Himachal Pradesh, India aut NATIONALLICENCE 700 1- Kar I. Department of Electrical Engineering, Indian Institute of Technology, Delhi, Hauz Khas, 110016, New Delhi, India aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 429-445 0924-090X 63:3<429 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer