l1 filtering for continuous-discrete T-S fuzzy positive Roesser model |
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| Authors: | Jinling Liang Jinling Wang Tingwen Huang |
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| Institution: | 1. School of Mathematics, Southeast University, Nanjing 210096, PR China;2. Science Program, Texas A&M University, Doha 23874, Qatar;3. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China |
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| Abstract: | This paper addresses the positive filter design problem for a class of continuous-discrete Roesser model in Takagi-Sugeno fuzzy form. Both the observer-based and the general form of filters are designed with l1 performance constraint. By utilizing the co-positive Lyapunov function approach, sufficient criteria are derived in the form of linear programming, which not only guarantee the existence of the positive lower-bounding/upper-bounding filters but also assure the resulting filtering error system to be asymptotically stable and having a prescribed l1-gain performance index. In addition, the explicit design schemes for the corresponding filter parameters are also presented. Finally, two numerical examples are provided to illustrate effectiveness of the proposed results. |
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| Keywords: | Corresponding author |
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