Multi-objective robust fault detection filter design in a finite frequency range

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. © 2009 Springer Berlin Heidelberg.