Robust FDF for Linear Uncertain Systems of the Polytopic Type
| Authors: | Zhong Maiying, Shandong University, Control Sciences and Engineering School, China
Ye Hao, Department of Automation, Tsinghua University, China
Ma Chuanfeng, Shandong University, Control Sciences and Engineering School, China
Wang Guizeng, Department of Automation, Tsinghua University, China |
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| Topic: | 6.4 Safeprocess |
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| Session: | Robust Fault Detection and Isolation |
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| Keywords: | Fault detection, filter, linear matrix inequality, polytopic type uncertainty |
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Abstract
In this paper, the robust fault detection filter (RFDF) design problem for linear discrete-time systems with both unknown inputs and polytopic type uncertainties is studied. The main contributions include the $H_{\\infty }$-filtering formulation of RFDF design problem, the extension of an $H_{\\infty }$-filtering approach to the polytopic type RFDF problem, the derivation of sufficient conditions in terms of linear matrix inequalities (LMIs), and the parameterization of parameter-independent RFDF solutions. A numerical example is given to illustrate the effectiveness of the proposed method.
