Abstract
This article is concerned with a kind of descriptor system \(H_{\infty }\) filtering problem based on event-triggered mechanism which is proposed to abate the limited network bandwidth in network channel. By using the method of input delay, the closed-loop system is transformed into a class of time-delay system, which is convenient to use Lyapunov function theory for stability analysis. On this basis, A sufficient criterion for a system with \(H_{\infty }\) performance to be regular, stable and impulse free is given, and the co-design condition of the filter is be taken into account. At length a simulation is showed to demonstrate the reliability of the method.
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References
Yue, D., Tian, E.G., Han, Q.L.: A delay system method for designing event-triggered controls of networked control systems. J. IEEE Trans. Automat. Control 58(2), 475–481 (2013)
Hu, S.L., Yue, D.: Event-based filtering for networked system with communication delay. J. Signal Process. 92(9), 2029–2039 (2012)
Zhou, L., Pan, R., Xiao, X.Q., Sun, T.T.: Event-triggered filtering for distrete-time systems over unreliable networks with package dropouts. J. Neurocomput. 218(19), 346–353 (2016)
Xiao, X.Q., Park, J.H., Zhou, L.: Event-triggered filtering of distrete-time switched linear systems. J. ISA Trans. 77, 112–121 (2018)
Wu, Z., Su, H., Chu, J.: H∞ filter design for singular time-delay systems. Proc. Inst. Mech. Eng. Part I: J. Syst. Control Eng. 223(7), 1001–1015 (2009)
Wang, G.L., Xu, S.Y.: Robust H∞ filtering for singular time-delay systems with uncertain Markovian switching probabilities. Int. J. Robust Nonl. Control 25(3), 376–393 (2013)
Wu, Z.G., Su, H.Y., Xue, A.K.: Delay-dependent filtering for singular markovian jump time-delay system. J. Signal Process. 90, 1240–1248 (2010)
Yue, D., Han, Q.L.: Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays. J. IEEE Trans. Automat. Control 52(11), 3200–3212 (2004)
Song, W.X., Sun, J., Chen, J.: Event-based H∞ filtering for networked singular systems IEEE. In: Proceedings of the 35th Chinese Control Conference, pp. 7503–7507. IEEE, Chengdu (2016)
Haidar, A., Boukas, E.K., Xu, S., Lam, J.: Exponential stability and static output feedback stabilization of singular time-delay systems with saturating actuators. J. IET Control Theory Appl. 3(9), 1293–1305 (2009)
Xiao, X.Q., Sun, T.T., Lu, G.P., Zhou, L.: Event-triggered stabilization for singular systems based on sampled-data. In: Proceedings of the 33rd Chinese Control Conference, pp. 5690–5694. IEEE, Nanjing (2014)
Wu, Z.G., Su, H.Y., Chu, J.: H∞ filtering for singular systems with time-varying delay. Int. J. Robust Nonl. Control 20(11), 1269–1284 (2009)
Zhang, X.M., Han, Q.L.: Robust H∞ filtering for a class of uncertain linear systems with time-varying delay. J. Automat. 44, 157–166 (2008)
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Qing, L., Lin, J. (2021). Event-Based \(H{}_{\infty }\) Filtering for Descriptor Systems. In: Han, Q., McLoone, S., Peng, C., Zhang, B. (eds) Intelligent Equipment, Robots, and Vehicles. LSMS ICSEE 2021 2021. Communications in Computer and Information Science, vol 1469. Springer, Singapore. https://doi.org/10.1007/978-981-16-7213-2_52
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DOI: https://doi.org/10.1007/978-981-16-7213-2_52
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