Network-based H∞ filtering using a logic jumping-like trigger

作者: Xian-Ming Zhang , Qing-Long Han

DOI: 10.1016/J.AUTOMATICA.2013.01.060

关键词: Markov processMarkov modelMathematicsFilter (signal processing)Transition rate matrixInterval (mathematics)Markov chainNetwork packetExponential stabilityControl theory

摘要: This paper is concerned with the network-based H"~ filtering for a stochastic system, where data transmission from system to filter completed via communication network. Network-induced delays, packet dropouts and disorders are unavoidable due use of First, logic zero-order-hold (ZOH) designed discard disordered packets actively. The network-induced delays modeled as an interval time-varying delay. By decomposing delay into N subintervals uniformly, be Markov jumping modes governed by chain. In order work out transition rate one mode another, jumping-like trigger embedded ZOH simulate switching process. Second, based on model together new integral inequality in setting, novel bounded real lemma presented ensure that resultant error mean exponentially stable prescribed performance. Then, sufficient condition existence desired filters provided terms set linear matrix inequalities. Finally, air vehicle employed show effectiveness proposed design method.

参考文章(20)
Mehrdad Sahebsara, Tongwen Chen, Sirish L. Shah, Optimal H∞ filtering in networked control systems with multiple packet dropouts Systems & Control Letters. ,vol. 57, pp. 696- 702 ,(2008) , 10.1016/J.SYSCONLE.2008.01.011
Carlos E. de Souza, Alexandre Trofino, Karina A. Barbosa, Mode-Independent ${\cal H}_{\infty}$ Filters for Markovian Jump Linear Systems IEEE Transactions on Automatic Control. ,vol. 51, pp. 1837- 1841 ,(2006) , 10.1109/TAC.2006.883060
José C. Geromel, Jacques Bernussou, GERMAIN GARCIA, MAURÍCIO C. DE OLIVEIRA, H 2 and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems Siam Journal on Control and Optimization. ,vol. 38, pp. 1353- 1368 ,(2000) , 10.1137/S0363012997327379
Huijun Gao, Tongwen Chen, ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity IEEE Transactions on Automatic Control. ,vol. 52, pp. 2070- 2084 ,(2007) , 10.1109/TAC.2007.908316
Lihua Xie, Lilei Lu, David Zhang, Huanshui Zhang, Improved robust H2 and H∞ filtering for uncertain discrete-time systems Automatica. ,vol. 40, pp. 873- 880 ,(2004) , 10.1016/J.AUTOMATICA.2004.01.003