Synchronization Error Estimation and Controller Design for Delayed Lur'e Systems With Parameter Mismatches
This paper investigates the problem of master-slave synchronization of two delayed Lur'e systems in the presence of parameter mismatches. First, by analyzing the corresponding synchronization error system, synchronization with an error level, which is referred to as quasi-synchronization, is es...
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| creator | He, Wangli Qian, Feng Han, Qing-Long Cao, Jinde |
| description | This paper investigates the problem of master-slave synchronization of two delayed Lur'e systems in the presence of parameter mismatches. First, by analyzing the corresponding synchronization error system, synchronization with an error level, which is referred to as quasi-synchronization, is established. Some delay-dependent quasi-synchronization criteria are derived. An estimation of the synchronization error bound is given, and an explicit expression of error levels is obtained. Second, sufficient conditions on the existence of feedback controllers under a predetermined error level are provided. The controller gains are obtained by solving a set of linear matrix inequalities. Finally, a delayed Chua's circuit is chosen to illustrate the effectiveness of the derived results. |
| doi_str_mv | 10.1109/TNNLS.2012.2205941 |
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First, by analyzing the corresponding synchronization error system, synchronization with an error level, which is referred to as quasi-synchronization, is established. Some delay-dependent quasi-synchronization criteria are derived. An estimation of the synchronization error bound is given, and an explicit expression of error levels is obtained. Second, sufficient conditions on the existence of feedback controllers under a predetermined error level are provided. The controller gains are obtained by solving a set of linear matrix inequalities. 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First, by analyzing the corresponding synchronization error system, synchronization with an error level, which is referred to as quasi-synchronization, is established. Some delay-dependent quasi-synchronization criteria are derived. An estimation of the synchronization error bound is given, and an explicit expression of error levels is obtained. Second, sufficient conditions on the existence of feedback controllers under a predetermined error level are provided. The controller gains are obtained by solving a set of linear matrix inequalities. Finally, a delayed Chua's circuit is chosen to illustrate the effectiveness of the derived results.</description><subject>Applied sciences</subject><subject>Australia</subject><subject>Chaos</subject><subject>Circuits</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Control theory. Systems</subject><subject>Delay</subject><subject>Delayed Lur'e systems</subject><subject>Educational institutions</subject><subject>Error analysis</subject><subject>Errors</subject><subject>Exact sciences and technology</subject><subject>Gain</subject><subject>Neural networks</subject><subject>Nonlinear dynamics and nonlinear dynamical systems</subject><subject>parameter mismatches</subject><subject>Physics</subject><subject>Statistical physics, thermodynamics, and nonlinear dynamical systems</subject><subject>Symmetric matrices</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>Synchronization ; coupled oscillators</subject><issn>2162-237X</issn><issn>2162-2388</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqFkV2LEzEUhoMo7rK7f0BBAiJ605qcfM1cSq0f0F2FrujdkMkkNmUmWZOZi_rrN7W1gjebmxyS57yc5EHoGSVzSkn99vbmZrWeA6EwByCi5vQROgcqYQasqh6favXjDF3lvCVlSSIkr5-iM-AVqQih52i73gWzSTH433r0MeBlSjHhZR79cDjQocOLGMYU-94m_N5m_zNgF_dlr3e2w6spvbZ4vcujHTL-7scN_qqTHuxY-GufS5DZ2HyJnjjdZ3t13C_Qtw_L28Wn2erLx8-Ld6uZ4ZSPZWTTVqxTglXSgSPUOm1bR7RkLa870xLJRMWgMwpqIU1dKdkK2TlRu04DZRfozSH3LsVfk81jM_hsbN_rYOOUGyqAccKVZA-jlEnOVM1VQV_-h27jlEJ5SEMJJ0pJYKJQcKBMijkn65q7VD4y7QrU7L01f7w1e2_N0VtpenGMntrBdqeWv5YK8OoI6Gx075IOxud_nORcCoDCPT9w3lp7upYlR4Fg9x-tqIk</recordid><startdate>20121001</startdate><enddate>20121001</enddate><creator>He, Wangli</creator><creator>Qian, Feng</creator><creator>Han, Qing-Long</creator><creator>Cao, Jinde</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | Applied sciences Australia Chaos Circuits Computer science control theory systems Control system analysis Control system synthesis Control systems Control theory. Systems Delay Delayed Lur'e systems Educational institutions Error analysis Errors Exact sciences and technology Gain Neural networks Nonlinear dynamics and nonlinear dynamical systems parameter mismatches Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Symmetric matrices Synchronism Synchronization Synchronization coupled oscillators |
| title | Synchronization Error Estimation and Controller Design for Delayed Lur'e Systems With Parameter Mismatches |
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