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| Received:September 16, 2011Revised:July 23, 2012 |
| 基金项目:This work was supported by National Nature Science Foundation of China (No. 60904031), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 0122302120069), the Basic Research Plan in Shenzhen City (No. JC201105160564A), the Project for Distinguished Young Scholars of the Basic Research Plan in Shenzhen City (No. JC201105160583A), the Fundamental Research Funds for the Central Universities (No. HIT.NSRIF.2011129), and the Key Lab of Wind Power and Smart Grid in Shenzhen City (No. CXB201005250025A). |
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| Robust H-infinity filter for a class of polytopic Delta operator systems |
| Ying ZHANG,Rui ZHANG |
| (Shenzhen Graduate School, Harbin Institute of Technology;Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences) |
| Abstract: |
| This study deals with the robust H-infinity filtering for a class of Delta operator systems with polytopic uncertainties. By the aid of introducing two slack matrices to eliminate the coupling between systems matrices and Lyapunov matrices, an improved version of the bounded real lemma is given via linear matrix inequality formulation, which shows a close correspondence between the continuous- and discrete-time H-infinity performance criterion. Based on it, the existence condition of the desired filter is obtained such that the corresponding filtering error system is asymptotically stable with a guaranteed performance index. A numerical example is employed to illustrate the feasibility and advantages of the proposed design. |
| Key words: Robust H-infinity filtering Linear matrix inequality Polytopic uncertainty H-infinity performance |
