Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems

查看全文 作　　者：Shuping [1,2]MA;Chenghui [3]ZHANG;Xinzhi [3,4]LIU

机构地区：[1]School of Mathematics and System Science, Shandong University, Jinan Shandong 250100, China;[2]School of Computer Science and Technology, Shandong University, Jinan Shandong 250061, China;[3]School of Control and Engineering, Shandong University, Jinan Shandong 250061, China;[4]Department of Applied Mathematics, University of Waterloo, Waterloo Ontario N2L 3G1, Canada

出　　处：《控制理论与应用(英文版)》索引2008年第6卷第2期,共8页

基　　金：Postdoctoral Science Foundation of China (No. 20060400980);Postdoctoral Science Foundation of Shandong Province(No. 200603015);National Science Foundation of China (No. 10671112) 摘　　要：The robust stability and stabilization, and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markovian jump standard linear system, and the linear matrix inequality (LMI) conditions for the discrete-time Markovian jump singular systems to be regular, causal, stochastically stable, and stochastically stable with γ-disturbance attenuation are obtained, respectively. With these conditions, the robust state feedback stochastic stabilization problem and H-infinity control problem are solved, and the LMI conditions are obtained. A numerical example illustrates the effectiveness of the method given in the paper. 关键词：离散时间奇异系统马尔可夫跳跃系统鲁棒稳定性 H∞控制

相关文献

参考文献（12）
引证文献（11）
耦合文献（24）

参考文献(12)

引证文献(11)

耦合文献(24)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

Robust stability and H-infinity control for uncertain discrete-time Markovian jump singular systems

参考文献(12)

引证文献(11)

耦合文献(24)

用户提示