A frequency domain approach to fault detection of uncertain dynamic systems

Problems related to fault detection of uncertain dynamical systems are studied. The purpose of this study is to solve residual generation and evaluation problems. With the aid of frequency domain fault detection approaches, a relationship between residual generators, residual evaluation function and the minimum size of detectable faults is established. This enables the authors to formulate the tasks as optimization problems that are solvable using frequency domain optimization techniques. An expression for achievable minimum size of detectable faults by using linear residual generators is finally derived