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Co-design of event generator and state estimator for complex network systems with quantization. (English) Zbl 1349.93366

Summary: This paper studies the problem of event-triggered state estimation for complex network systems with quantization. The event-triggered communication scheme and quantization are employed to reduce the burden of network transmission. By utilizing Lyapunov’s stability theory and linear matrix inequality techniques, sufficient conditions are established which can ensure the augmented estimation error system to be asymptotically stable. Furthermore, the explicit expressions of the desired state estimators are derived in terms of linear matrix inequalities. Finally, an example is provided to illustrate the usefulness of the proposed method.

MSC:

93E10 Estimation and detection in stochastic control theory
93A15 Large-scale systems
93C65 Discrete event control/observation systems
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93D20 Asymptotic stability in control theory
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[1] Wu, X.; Xu, C.; Feng, J., Complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and coupling time delays, Commun. Nonlinear Sci. Numer. Simul., 20, 3, 1004-1014 (2015) · Zbl 1303.93163
[2] Li, H., Sampled-data state estimation for complex dynamical networks with time-varying delay and stochastic sampling, Neurocomputing, 138, 78-85 (2014)
[3] Shen, B.; Wang, Z.; Ding, D.; Shu, H., State estimation for complex networks with uncertain inner coupling and incomplete measurements, IEEE Trans. Neural Netw. Learn. Syst., 24, 12, 2027-2037 (2013)
[4] Zhang, Y.; Liu, Z.; Fang, H.; Chen, H., \(H_\infty\) fault detection for nonlinear networked systems with multiple channels data transmission pattern, Inf. Sci., 221, 534-543 (2013) · Zbl 1293.93278
[7] Yue, D.; Tian, E.; Han, Q.-L., A delay system method for designing event-triggered controllers of networked control systems, IEEE Trans. Autom. Control, 58, 2, 475-481 (2013) · Zbl 1369.93183
[8] Liu, J.; Yue, D., Event-triggering in networked systems with probabilistic sensor and actuator faults, Inf. Sci., 240, 145-160 (2013) · Zbl 1320.93061
[9] Liu, J.; Yue, D., Event-based fault detection for networked systems with communication delay and nonlinear perturbation, J. Frankl. Inst., 350, 9, 2791-2807 (2013) · Zbl 1287.93053
[10] Peng, C.; Zhang, J., Event-triggered output-feedback \(H_\infty\) control for networked control systems with time-varying sampling, IET Control Theory Appl., 9, 9, 1384-1391 (2015)
[11] Feng, J.; Li, N., Design of observer-based event-driven controllers for a class of state-dependent nonlinear systems, J. Frankl. Inst., 353, 7, 1573-1593 (2016) · Zbl 1336.93105
[13] Tian, E.; Yue, D.; Peng, C., Quantized output feedback control for networked control systems, Inf. Sci., 178, 12, 2734-2749 (2008) · Zbl 1179.93096
[14] Hu, S.; Yue, D., Event-triggered control design of linear networked systems with quantizations, ISA Trans., 51, 1, 153-162 (2012)
[15] Peng, C.; Tian, Y., Networked \(H_\infty\) control of linear systems with state quantization, Inf. Sci., 177, 24, 5763-5774 (2007) · Zbl 1126.93338
[17] Liu, J., Research on synchronization of complex networks with random nodes, Acta Physica Sinica, 62, 4, 040503 (2013)
[18] Elia, N.; Mitter, S. K., Stabilization of linear systems with limited information, IEEE Trans. Autom. Control, 46, 9, 1384-1400 (2001) · Zbl 1059.93521
[19] Liu, J.; Fei, S.; Tian, E.; Gu, Z., Co-design of event generator and filtering for a class of T-S fuzzy systems with stochastic sensor faults, Fuzzy Sets Syst., 273, 124-140 (2015) · Zbl 1373.93347
[20] Wang, Y.; Xie, L.; de Souza, C. E., Robust control of a class of uncertain nonlinear systems, Syst. Control Lett., 19, 2, 139-149 (1992) · Zbl 0765.93015
[21] Peng, C.; Tian, Y.; Tian, E., Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay, Fuzzy Sets Syst., 159, 20, 2713-2729 (2008) · Zbl 1170.93344
[22] Peng, C.; Tian, Y., Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay, J. Comput. Appl. Math., 214, 2, 480-494 (2008) · Zbl 1136.93437
[23] Tian, E.; Yue, D.; Zhang, Y., Delay-dependent robust \(H_\infty\) control for T-S fuzzy system with interval time-varying delay, Fuzzy Sets Syst., 160, 12, 1708-1719 (2009) · Zbl 1175.93134
[24] Cao, Y.; Sun, Y.; Lam, J., Delay-dependent robust \(H_\infty\) control for uncertain systems with time-varying delays, IET Control Theory Appl., 145, 3, 338-344 (1998)
[25] He, Y.; Wu, M.; She, J.; Liu, G., Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties, IEEE Trans. Autom. Control, 49, 5, 828-832 (2004) · Zbl 1365.93368
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