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Network-based feedback control for systems with mixed delays based on quantization and dropout compensation. (English) Zbl 1235.93112
Summary: This paper deals with the problem of feedback control for networked systems with discrete and distributed delays subject to quantization and packet dropout. Both a state feedback controller and an observer-based output feedback controller are designed. The infinite distributed delay is introduced in the discrete networked domain for the first time. Also, it is assumed that system state or output signal is quantized before being communicated. Moreover, a compensation scheme is proposed to deal with the effect of random packet dropout through communication network. Sufficient conditions for the existence of an admissible controller are established to ensure the asymptotical stability of the resulting closed-loop system. Finally, a numerical example is given to illustrate the proposed design method in this paper.

MSC:
93B52 Feedback control
93A15 Large-scale systems
93C55 Discrete-time control/observation systems
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[1] Delchamps, D.F., Stabilizing a linear system with quantized state feedback, IEEE transactions on automatic control, 35, 916-924, (1990) · Zbl 0719.93067
[2] Jiang, B.; Mao, Z.; Shi, P., \(H_\infty\) filter design for a class of networked control systems via T-S fuzzy model approach, IEEE transactions on fuzzy systems, 18, 1, 201-208, (2010)
[3] Liu, G., Predictive controller design of networked systems with communication delays and data loss, IEEE transactions on circuits and systems II, 57, 6, 481-485, (2010)
[4] Liu, Y.; Yang, G., Quantized static output feedback stabilization of discrete-time networked control systems, International journal of innovative computing information and control, 7, 2, 719-732, (2011)
[5] Seiler, P.; Sengupta, R., An \(H_\infty\) approach to networked control, IEEE transactions on automatic control, 50, 3, 356-364, (2005) · Zbl 1365.93147
[6] Shen, B.; Wang, Z.; Hung, Y.S., Distributed consensus \(H\)-infinity filtering in sensor networks with multiple missing measurements: the finite-horizon case, Automatica, 46, 10, 1682-1688, (2010) · Zbl 1204.93122
[7] Shi, P.; Mahmoud, M.; Nguang, S.; Ismail, A., Robust filtering for jumping systems with mode-dependent delays, Signal processing, 86, 140-152, (2006) · Zbl 1163.94387
[8] Walsh, G.C.; Ye, H.; Bushnell, L.G., Stability analysis of networked control systems, IEEE transactions on control systems technology, 10, 3, 438-446, (2002)
[9] Wang, Z.; Ho, D.; Liu, Y.; Liu, X., Robust \(H_\infty\) control for a class of nonlinear discrete time-delay stochastic systems with missing measurements, Automatica, 45, 684-691, (2009) · Zbl 1166.93319
[10] Wu, L.; Su, X.; Shi, P.; Qiu, J., Model approximation for discrete-time state-delay systems in the T-S fuzzy framework, IEEE transactions on fuzzy systems, 19, 2, 366-378, (2011)
[11] Xie, L.; Fridman, E.; Shaked, U., Robust \(H_\infty\) control of distributed delay systems with application to combustion controls, IEEE transactions on automatic control, 46, 12, 1930-1935, (2001) · Zbl 1017.93038
[12] Yang, H.; Xia, Y.; Shi, P., Stabilization of networked control systems with nonuniform random sampling periods, International journal of robust and nonlinear control, 21, 5, 501-526, (2011) · Zbl 1214.93093
[13] Yin, S.; Yu, L.; Zhang, W., Estimator-based control of networked systems with packet-dropouts, International journal of innovative computing information and control, 6, 6, 2737-2748, (2010)
[14] Zhao, Y.; Liu, G.; Rees, D., Design of a packet-based control framework for networked control systems, IEEE transactions on control systems technology, 17, 4, 859-865, (2009)
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