Multi-objective Robust Fault Detection Filter Design in a Finite Frequency Range

  • Authors:

  • Yu Cui;Xin-Han Huang;Min Wang

  • Affiliations:

  • Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074

  • Venue:
  • ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part III
  • Year:
  • 2009

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Abstract

The robust fault detection filter (RFDF) design problem for linear time invariant (LTI) system with unknown inputs is studied. The design objectives are set to minimize a combined performance index H *** / H *** over the specified frequency range as well as to satisfy regional constraints on filter poles. A linear matrix inequality (LMI) based solution is proposed with the aid of the recently developed generalized KYP lemma. The advantage of the proposed solution lies in that the real values of the H *** , H *** indices over the given finite frequency range are accessible during the solving process. Based on that, an optimal solution minimizing the performance index H *** / H *** with filter poles lie in the specified region is proposed by converting the design problem to a standard LMI optimization problem. An aircraft design example demonstrates the effectiveness of the proposed solution.