Abstract
The fault detection (FD) problem for linear discrete time-varying (LDTV) systems with measurement packet dropouts is considered. The objective is to design a new observer-based fault detection filter (FDF) as a residual generator through employing packet dropout information on the measurement sequence. Based on some new defined input-to-output operators, the FD problem is formulated in a framework of maximizing stochasticH−/H∞orH∞/H∞performance index. By introducing an adjoint-operator-based optimization method, the analytical optimal solution can be derived in terms of solving a modified Riccati equation. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
Highlights
The problem of model-based fault detection and isolation has attracted much attention during the last two decades and bred numerous results
One of the most useful strategies is the observer-based fault detection (FD) approach which involves constructing an observer as a fault detection filter (FDF) for generating a residual signal that is sensitive to fault while insensitive to unknown input [1,2,3,4,5,6,7]
In [12,13,14], the global optimal solution to H∞/H∞ and H−/H∞ optimization FD problem is given for linear time-invariant (LTI) systems by coprime factorization and linear matrix inequality (LMI) techniques, respectively
Summary
The problem of model-based fault detection and isolation has attracted much attention during the last two decades and bred numerous results. Among the developments of FD techniques, the H∞ filtering scheme which formulates the FD problem into the framework of H∞ filtering is widely used for systems with L2-norm bounded unknown inputs and faults [8,9,10,11]. Finite horizon H−/H∞ and H∞/H∞ FD formulation for LDTV systems is proposed in [17,18,19] and the optimal solution is derived by solving a standard Kalman-like Riccati equation On another frontline, research on systems with intermittent measurements has gained growing interests due to that the communication networks are widely utilized in control systems [20,21,22,23,24,25].
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