Event-Triggered Output Synchronization in Master-Slave Lur’e Systems with Heterogeneous Dimensions

In this paper, the problem of event-triggered output synchronization is investigated in a class of master-slave Lur’e systems with heterogeneous dimensions. By designing an improved event-triggered strategy via sampled-data transmission, a novel stability criterion on the error system is formulated and the synchronization ones are presented in terms of linear matrix inequalities (LMIs). In particular, the proposed results can be easily checked and the controller gains can be achieved by solving the derived LMIs. Furthermore, the previously neglected information can be fully considered and the conservatism can be efficiently reduced. Finally, two numerical examples are given to illustrate the efficiency of the presented results.

[1]  Louis M. Pecora,et al.  Synchronizing chaotic circuits , 1991 .

[2]  Wuneng Zhou,et al.  Finite-time master-slave synchronization and parameter identification for uncertain Lurie systems. , 2014, ISA transactions.

[3]  Peng Shi,et al.  Sampled-Data Synchronization of Chaotic Lur'e Systems With Time Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[4]  R. Rakkiyappan,et al.  Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control , 2014 .

[5]  Hongye Su,et al.  Delay-dependent synchronisation for singular Lur'e systems using time delay feedback control , 2013, Int. J. Model. Identif. Control..

[6]  Dan Wei,et al.  Global exponential synchronization of nonlinear time-delay Lur'e systems via delayed impulsive control , 2014, Commun. Nonlinear Sci. Numer. Simul..

[7]  Jinde Cao,et al.  Synchronization Error Estimation and Controller Design for Delayed Lur'e Systems With Parameter Mismatches , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Shaocheng Tong,et al.  Adaptive NN Controller Design for a Class of Nonlinear MIMO Discrete-Time Systems , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[9]  Jin-Hua She,et al.  New results on stability analysis for systems with discrete distributed delay , 2015, Autom..

[10]  Ju H. Park,et al.  Further results on sampled-data control for master–slave synchronization of chaotic Lur’e systems with time delay , 2015 .

[11]  Fuad E. Alsaadi,et al.  Event-triggered H ∞ state estimation for discrete-time stochastic genetic regulatory networks with Markovian jumping parameters and time-varying delays , 2016, Neurocomputing.

[12]  Min Wu,et al.  Asymptotical synchronization for chaotic Lur'e systems using sampled-data control , 2013, Commun. Nonlinear Sci. Numer. Simul..

[13]  Jin Zhang,et al.  Synchronization of master-slave neural networks with a decentralized event triggered communication scheme , 2016, Neurocomputing.

[14]  Qing-Long Han,et al.  On Designing a Novel Self-Triggered Sampling Scheme for Networked Control Systems With Data Losses and Communication Delays , 2016, IEEE Transactions on Industrial Electronics.

[15]  Jiahui Wang,et al.  Output-Feedback Based Sliding Mode Control for Fuzzy Systems With Actuator Saturation , 2016, IEEE Transactions on Fuzzy Systems.

[16]  Lei Zhou,et al.  Network synchronization and application of chaotic Lur’e systems based on event-triggered mechanism , 2016 .

[17]  Guanghui Wen,et al.  Event-Triggered Master–Slave Synchronization With Sampled-Data Communication , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Xin-Ping Guan,et al.  Master-slave synchronization criteria of Lur'e systems with time-delay feedback control , 2014, Appl. Math. Comput..

[19]  S. M. Lee,et al.  Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control , 2009 .

[20]  P. Balasubramaniam,et al.  Secure Communication via Synchronization of Lur’e Systems Using Sampled-Data Controller , 2014, Circuits Syst. Signal Process..

[21]  Hongye Su,et al.  On Designing Time‐delay Feedback Controller for Master‐Slave Synchronization of Lur'e Systems , 2014 .

[22]  Huaicheng Yan,et al.  Event-triggered output feedback H∞ control for networked control systems with time-varying sampling and packet losses , 2017, 2017 36th Chinese Control Conference (CCC).

[23]  Johan A. K. Suykens,et al.  Synchronization of Chaotic Lur'e Systems , 2005 .

[24]  Ju H. Park,et al.  Non-fragile H∞ synchronization of memristor-based neural networks using passivity theory , 2016, Neural Networks.

[25]  Dong Yue,et al.  Relaxed Stability and Stabilization Conditions of Networked Fuzzy Control Systems Subject to Asynchronous Grades of Membership , 2014, IEEE Transactions on Fuzzy Systems.

[26]  Xin-Ping Guan,et al.  Synchronization of Chaotic Lur’e Systems With Time Delays Using Sampled-Data Control , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[27]  Dedong Yang,et al.  Networked Reliable Synchronization of Chaotic Lur’e Systems with Sector- and Slope-Restricted Nonlinearities , 2016, Circuits Syst. Signal Process..

[28]  Dong Yue,et al.  Event-triggering in networked systems with probabilistic sensor and actuator faults , 2013, Inf. Sci..

[29]  Xiaomei Zhang,et al.  Synchronization for Time-Delay Lur’e Systems with Sector and Slope Restricted Nonlinearities Under Communication Constraints , 2011, Circuits Syst. Signal Process..

[30]  Pagavathigounder Balasubramaniam,et al.  Synchronization of recurrent neural networks with mixed time-delays via output coupling with delayed feedback , 2012, Nonlinear Dynamics.

[31]  Hak-Keung Lam,et al.  Observer-Based Fault Detection for Nonlinear Systems With Sensor Fault and Limited Communication Capacity , 2016, IEEE Transactions on Automatic Control.

[32]  Shaocheng Tong,et al.  Adaptive NN Tracking Control of Uncertain Nonlinear Discrete-Time Systems With Nonaffine Dead-Zone Input , 2015, IEEE Transactions on Cybernetics.

[33]  Xinzhi Liu,et al.  On designing stochastic sampled-data controller for master-slave synchronization of chaotic Lur'e system via a novel integral inequality , 2016, Commun. Nonlinear Sci. Numer. Simul..

[34]  Hamid Reza Karimi,et al.  A sliding mode approach to H∞ synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties , 2012, J. Frankl. Inst..

[35]  Ju H. Park,et al.  Stability of time-delay systems via Wirtinger-based double integral inequality , 2015, Autom..

[36]  Norihiko Adachi,et al.  Observer-based Adaptive Control of Nonlinear Systems , 1995 .

[37]  Pagavathigounder Balasubramaniam,et al.  Synchronization of fuzzy bidirectional associative memory neural networks with various time delays , 2015, Appl. Math. Comput..

[38]  Hak-Keung Lam,et al.  Adaptive Sliding Mode Control for Interval Type-2 Fuzzy Systems , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  Pagavathigounder Balasubramaniam,et al.  Direct delay decomposition approach to synchronization of chaotic fuzzy cellular neural networks with discrete, unbounded distributed delays and Markovian jumping parameters , 2015, Appl. Math. Comput..

[40]  Qi Li,et al.  Event-triggered synchronization control for complex networks with uncertain inner coupling , 2015, Int. J. Gen. Syst..

[41]  Wook Hyun Kwon,et al.  Stability of Time-Delay Systems , 2018, Communications and Control Engineering.

[42]  Xinzhi Liu,et al.  Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur’e systems with sampled-data feedback control , 2016 .

[43]  Ligang Wu,et al.  Observer-based adaptive sliding mode control for nonlinear Markovian jump systems , 2016, Autom..

[44]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[45]  Ju H. Park,et al.  Exponential synchronization criteria for Markovian jumping neural networks with time-varying delays and sampled-data control , 2014 .