A time domain approach to robust fault detection of linear time-varying systems. (English) Zbl 1154.93341

Li, Xiaobo; Zhou, Kemin

Automatica 45, No. 1, 94-102 (2009).

Summary: This paper gives the optimal solutions to several robust fault detection problems such as \(\mathcal H_{-}/\mathcal H_\infty , \mathcal H_{2}/\mathcal H_\infty \) and \(\mathcal H_\infty /\mathcal H_\infty \) problems for linear time-varying systems in a time domain, which extends the previous results on linear time-invariant systems in a frequency domain. It is shown that all three problems have the same optimal detection filter and the filter is a simple observer obtained by solving a standard differential Riccati equation. Finally, an example is given to illustrate our results.

MSC:

93B35	Sensitivity (robustness)
93C05	Linear systems in control theory

Keywords:

fault detection filter; linear time-varying systems; robustness; state estimation; optimization

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