Observer-Based Robust Fault Detection Filter Design and Optimization for Networked Control Systems

Abstract EN

The problem of robust fault detection filter (FDF) design and optimization is investigated for a class of networked control systems (NCSs) with random delays.

The NCSs are modeled as Markovian jump systems (MJSs) by assuming that the random delays obey a Markov chain.

Based on the model, an observer-based residual generator is constructed and the corresponding fault detection problem is formulated as an H ∞ filtering problem by which the error between the residual signal and the fault is made as small as possible.

A sufficient condition for the existence of the desired FDF is derived in terms of linear matrix inequalities (LMIs).

Furthermore, to improve the performance of the robust fault detection systems, a time domain optimization approach is proposed.

The solution of the optimization problem is given in the form of Moore-Penrose inverse of matrix.

A numerical example is provided to illustrate the effectiveness and potential of the proposed approach.