Absolute stability and stabilization for Lurie networked control systems

2010 ◽  
Vol 21 (14) ◽  
pp. 1667-1676 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Yong He ◽  
Min Wu ◽  
Shen-Ping Xiao
2012 ◽  
Vol 629 ◽  
pp. 835-839
Author(s):  
Ye Guo Sun

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two special cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.


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