Fuzzy-Affine-Model-Based Filtering Design for Continuous-Time Roesser-Type 2-D Nonlinear Systems
| Autor: | Meng Wang, Hak-Keung Lam, Jianbin Qiu, Huaicheng Yan, Zhichen Li |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | IEEE Transactions on Cybernetics. 53:3220-3230 |
| ISSN: | 2168-2275 2168-2267 |
| Popis: | This article tackles the problem of filtering design for continuous-time Roesser-type 2-D nonlinear systems via Takagi-Sugeno (T-S) fuzzy affine models. The aim is to design an admissible piecewise affine (PWA) filter such that the filtering error system is asymptotically stable with a prescribed disturbance attenuation level. First, 2-D Roesser nonlinear systems are approximated by a kind of 2-D fuzzy affine models with norm-bounded uncertainties. Then, the premise variable space of the 2-D fuzzy affine systems is partitioned into two classes of subspaces, that is: 1) crisp regions and 2) fuzzy regions. For each region, boundary continuity matrices and characterizing matrices are constructed by utilizing the space partition information and 2-D structure. After that, novel piecewise Lyapunov functions are constructed, based on which together with S-procedure, the asymptotic stability with performance is guaranteed for the filtering error system. By the projection lemma and some elegant convexification techniques, the PWA filtering design conditions are obtained. Finally, the less conservativeness and effectiveness of the proposed approach over a common Lyapunov function-based one are illustrated by simulation studies. |
| Databáze: | OpenAIRE |
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