State Space Solution to the H&lt;sub&gt;-&lt;/sub&gt;/H&lt;sub&gt;&amp;#x0221E;&lt;/sub&gt; Fault Detection Problem

Zhenhai Li; Emmanuel Mazars; Imad M. Jaimoukha

doi:10.1109/cdc.2006.377222

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JOURNAL ARTICLE

State Space Solution to the H<sub>-</sub>/H<sub>∞</sub> Fault Detection Problem

Zhenhai Li Emmanuel Mazars Imad M. Jaimoukha

Year: 2006 Vol: 39 Pages: 2177-2182

DOI: 10.1109/cdc.2006.377222

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Abstract

In this paper we give a state space solution to the H_-/H_∞ fault detection (FD) problem for linear time invariant dynamic systems. An H_-/H_∞ FD filter minimizes the sensitivity of the residual signal to disturbances while maintaining a minimum level of sensitivity to faults. We provide a state space realization of the optimal filter in an observer form via the solution of Linear Matrix Inequalities (LMIs). A numerical example is given to illustrate the algorithm.

Keywords:

Fault detection and isolation Mathematics Realization (probability) Sensitivity (control systems) Control theory (sociology) State space Residual State (computer science) Observer (physics) Filter (signal processing) Invariant (physics) Combinatorics Discrete mathematics Algorithm Physics Computer science Engineering Mathematical physics Quantum mechanics Nonlinear system

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Fault Detection and Control Systems

Physical Sciences → Engineering → Control and Systems Engineering

Reliability and Maintenance Optimization

Physical Sciences → Engineering → Safety, Risk, Reliability and Quality

Risk and Safety Analysis

Social Sciences → Decision Sciences → Statistics, Probability and Uncertainty

State Space Solution to the H<sub>-</sub>/H<sub>∞</sub> Fault Detection Problem

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