期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 30, 期 11, 页码 4690-4701出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2022.3156735
关键词
Observers; Fuzzy systems; Uncertainty; Symmetric matrices; Mathematical models; Takagi-Sugeno model; Loss measurement; Discrete time; interval type-2 Takagi-Sugeno (T-S) fuzzy systems; matrix equation; unknown input observer (UIO); unmeasurable premise variables
资金
- National Natural Science Foundation ofChina [61973135, 91948201, 61803177]
- Shandong Provincial Key Research and Development Program (Major Scientific and Technological Innovation Project), China [2019JZZY010441]
This article proposes a novel unknown input functional observer design approach for discrete-time interval type-2 Takagi-Sugeno fuzzy system models. By constructing a new state vector and solving a linear matrix equation, the existence conditions of observers are obtained. The solution of the simplified matrix equation is used to derive observer gains.
This article proposes a novel unknown input functional observer design approach toward discrete-time interval type-2 Takagi-Sugeno fuzzy system models subject to measurable and unmeasurable premise variables. By constructing a new state vector that contains both the unknown inputs and the system states, functional observers are proposed for the cases with measurable and unmeasurable premise variables to estimate this new state vector for unknown input and/or state estimation. The observer design problem is converted into the solvability issue of a linear matrix equation involving observer gain matrices, and the existence conditions of the observers are explicitly obtained based on matrix rank analysis. Meanwhile, instead of solving the intricate Sylvester equation directly, the solution of the simplified matrix equation is employed to derive the observer gains. Moreover, the effectiveness and the superiority of the presented method are demonstrated via two illustrative examples.
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