Master–Slave Synchronization of Switched Nonlinear Systems Based on Quantization and Switching Event-Triggered Strategy
Pages 6187 - 6210
Abstract
The present study focuses on the master–slave synchronization issue for switched nonlinear time-delay systems based on quantization and switching event-triggered strategy (ETS). The logarithmic quantizer and the switching ETS that is represented by a transition between the periodic sampled-data control and the general continuous ETS are adopted to improve resource utilization and adjust data transmission. According to the event-triggered sampled signal, the synchronization error system with asynchronous switching signal is modeled. In virtue of multiple Lyapunov functional approach, the sufficient conditions are obtained to guarantee the error system is exponentially stable by developing some linear matrix inequalities (LMIs), from which the synchronizing controller is orchestrated. Lastly, the reliability of the proposed methods is illustrated by numerical simulations.
References
[1]
Aroudi AE, Giaouris D, Iu HH, and Hiskens IA A review on stability analysis methods for switching mode power converters IEEE J. Emerg. Select. Top. Circ. Syst. 2015 5 3 302-315
[2]
Ayepah K, Sun M, and Jia Q Event-triggered synchronization of switching dynamical networks with periodic sampling IEEE Trans. Circ. Syst. II Expr. Briefs 2021 68 6 2172-2176
[3]
Cuomo KM, Oppenheim AV, and Strogatz SH Synchronization of Lorenz-based chaotic circuits with applications to communications IEEE Trans. Circ. Syst. II: Analog Digit. Sign. Process. 1993 40 10 626-633
[4]
Diema MA, Boudour M, Agbossou K, Cardenas A, and Doumbia ML Adaptive direct power control based on ANN-GWO for grid interactive renewable energy systems with an improved synchronization technique Int. Trans. Electr. Energy Syst. 2019 29 3 e2766
[5]
Ding SB, Xie XP, and Liu YJ Event-triggered static/dynamic feedback control for discrete-time linear systems Inf. Sci. 2020 524 33-45
[6]
Ethabet H, Rabehi D, Efimov D, and Raissi T Interval estimation for continuous-time switched linear systems Automatica 2018 90 230-238
[7]
Fei ZY, Guan CX, and Zhao XD Event-triggered dynamic output feedback control for switched systems with frequent asynchronism IEEE Trans. Autom. Control 2020 65 7 3120-3127
[8]
Gao HJ and Chen TW A new approach to quantized feedback control systems Automatica 2008 44 534-542
[9]
Ge C, Liu X, Hua CC, and Park JH Exponential synchronization of the switched uncertain neural networks with mixed delays based on sampled-data control J. Frank. Inst. 2022 359 2259-2282
[10]
Grzybowski JMV, Rafikov M, and Balthazar JM Synchronization of the unified chaotic system and application in secure communication Commun. Nonlinear Sci. Numer. Simul. 2009 14 6 2793-2806
[11]
Han ZY, Tang WKS, and Jia Q Event-triggered synchronization for nonlinear multi-agent systems with sampled data IEEE Trans. Circ. Syst. I Regul. Pap. 2020 67 10 3553-3561
[12]
G.H. Hardy, J.E. Littlewood, G. Plolya, Inequalities (Cambridge University Press, 1952)
[13]
Li C and Xu ZZ Stabilization of switched linear systems using an improved event-triggered control scheme Nonlinear Anal. Hybrid Syst 2021 41 101048
[14]
Q.K. Li, R.J. Yu, P.E. Gao, J. Li, Master-slave synchronization for switched systems with event-triggered sampling scheme, in Proceedings of the 33rd Chinese Control Conference (2014), p. 5834–5839
[15]
Li TF, Fu J, Deng F, and Chai TY Stabilization of switched linear neutral systems: an event-triggered sampling control scheme IEEE Trans. Autom. Control 2018 63 10 3537-3544
[16]
Liberzon D Switching in Systems and Control 2003 Boston Birkhäuser
[17]
Liu XZ and Wu C Fault-tolerant synchronization for nonlinear switching systems with time-varying delay Nonlinear Anal. Hybrid Syst 2017 23 91-110
[18]
Long L and Zhao J control of switched nonlinear systems in -normal form using multiple Lyapunov functions IEEE Trans. Autom. Control 2012 57 5 1285-1291
[19]
Ma YJ, Li ZJ, and Zhao J control for switched systems based on dynamic event-triggered strategy and quantization under state-dependent switching IEEE Trans. Circ. Syst. I Regul. Pap. 2020 67 9 3175-3185
[20]
Mahmoud MS Switched Time-Delay Systems: Stability and Control 2010 Boston Springer
[21]
Margaliot M Stability analysis of switched systems using variational principles: an introduction Automatica 2006 42 12 2059-2077
[22]
Meng Y and Liu YZ Asynchronous filter design for linear switched systems with interval time-varying delays IEEE Access 2019 7 140217-140223
[23]
Qi YW, Liu YH, and Niu B Event-triggered filtering for networked switched systems with packet disorders IEEE Trans. Syst. Man Cybernet.: Syst. 2021 51 5 2847-2859
[24]
Ren JJ, Liu XZ, Zhu H, Zhong SM, and Wu C Exponential synchronization of switching fuzzy systems with time-varying delay and impulses Fuzzy Sets Syst. 2019 365 15 116-139
[25]
Shi PW, Sun WC, Yang XB, Rudas IJ, and Gao HJ Master-slave synchronous control of dual-drive gantry stage with cogging force compensation IEEE Trans. Syst. Man Cybernet.: Syst. 2023 53 1 216-225
[26]
Sun WC and Yuan YQ Passivity based hierarchical multi-task tracking control for redundant manipulators with uncertainties Automatica 2023 155 111159
[27]
Tomlin C, Pappas GJ, and Sastry S Conflict resolution for air traffic management: a study in multiagent hybrid systems IEEE Trans. Autom. Control 1998 43 4 509-521
[28]
Vu L and Morgansen KA Stability of time-delay feedback switched linear systems IEEE Trans. Autom. Control 2010 55 10 2385-2390
[29]
Wakaiki M and Yamamoto Y Quantized feedback stabilization of sampled-data switched linear systems IFAC Proc. Vol. 2014 47 3 9979-9984
[30]
Wang X, Sun J, Wang G, and Dou LH A mixed switching event-triggered transmission scheme for networked control systems IEEE Trans. Control Netw. Syst. 2022 9 1 390-402
[31]
Wang XM and Zhao J Feedback stabilization of switched linear systems: a quantization and triggering joint event-triggered mechanism IEEE Trans. Circ. Syst. I Regul. Pap. 2022 69 6 2579-2588
[32]
Wang Y-E, Karimi HR, and Wu D Conditions for the stability of switched systems containing unstable subsystems IEEE Trans. Circ. Syst. II Expr. Briefs 2019 66 4 617-621
[33]
Wen GH, Chen MZQ, and Yu XH Event-triggered master-slave synchronization with sampled-data communication IEEE Trans. Circ. Syst. II Expr. Briefs 2016 63 3 304-308
[34]
Wen S, Zeng Z, Huang T, Meng Q, and Yao W Lag synchronization of switched neural networks via neural activation function and applications in image encryption IEEE Trans. Neural Netw. Learn. Syst. 2015 26 7 1493-1502
[35]
Xiao XQ, Zhou L, Ho DWC, and Lu GP Event-triggered control of continuous-time switched linear systems IEEE Trans. Autom. Control 2019 64 4 1710-1717
[36]
Xiao XQ, Zhou L, and Lu GP Event-triggered filtering of continuous-time switched linear systems Signal Process. 2017 141 343-349
[37]
Xiao XQ, Zhou L, and Zhang ZJ Synchronization of chaotic Lur’e systems with quantized sampled-data controller Commun. Nonlinear Sci. Numer. Simul. 2014 19 6 2039-2047
[38]
Z.M. Xu, W.L. He, Quantized synchronization of master-slave systems under event-triggered control against DoS attacks, in IECON 2020-46th Annual Conference of the IEEE Industrial Electronics Society (2020), p. 3568–3573
[39]
Yan JJ, Shi LX, Xia YQ, and Zhang YQ Quantized output feedback control for switched systems with DoS attacks and event-triggered sampling J. Frank. Inst. 2022 359 16 8522-8538
[40]
Yu L Robust Control: Handling Method for Linear Matrix Inequalities 2002 Tsinghua University Press in Chinese
[41]
Zhao XD, Yin S, Li HY, and Niu B Switching stabilization for a class slowly switched systems IEEE Trans. Autom. Control 2015 60 1 221-226
[42]
Zhao XY, Chen H, Zhang ZZ, Dong SY, Zhong SM, and You ZY Dynamic event-triggered control on nonlinear asynchronous switched system with mixed time-varying delays J. Frank. Inst. 2022 359 1 520-555
[43]
Zhou J, Wen CY, and Wang W Adaptive control of uncertain nonlinear systems with quantized input signal Automatica 2018 95 152-162
[44]
Zhou L, Liu C, Pan R, and Xiao XQ Event-triggered synchronization of switched nonlinear system based on sampled measurements IEEE Trans. Cybernet. 2022 52 5 3531-3538
[45]
Zhou TW, Yue GH, and Niu B Quantization level based event-triggered control with measurement uncertainties Inf. Sci. 2022 588 442-456
[46]
Zhou TW, Zuo ZQ, and Wang YJ Self-triggered and event-triggered control for linear systems with quantization IEEE Trans. Syst. Man Cybernet.: Syst. 2020 50 9 3136-3144
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Birkhauser Boston Inc.
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Publication History
Published: 16 June 2024
Accepted: 21 May 2024
Revision received: 21 May 2024
Received: 16 August 2023
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- Fundamental Research Funds for the Central Universities
- Natural Science Basic Research Program of Shaanxi Province
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