Abstract
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 anH∞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.
Highlights
Networked control systems (NCSs) are feedback control systems in which sensors, controllers, actuators, and other system components are connected with real-time networks [1, 2]
This paper addresses the problem of robust fault detection filter (FDF) design and optimization for a class of NCSs with random delays and the main achievement is composed of the following four steps
To finish the filter design based on the Markovian jump systems (MJSs) model (6) with partially known transition probabilities, we first introduce the following lemma which will help us to derive the gain of the FDF (5)
Summary
Networked control systems (NCSs) are feedback control systems in which sensors, controllers, actuators, and other system components are connected with real-time networks [1, 2]. The new structure has many advantages over conventional control systems, such as low cost, simple installation and maintenance, reliability, and enhanced resource utilization, which make NCSs a promising structure for control systems [3] This structure brings challenges on NCSs analysis and design, for instance, network induced delay and packet dropout [4,5,6,7,8], which inevitably increase the complexity of system design and degrade the system performance [9]. To the best of authors’ knowledge, the problem of robust FDF design and optimization for a class of NCSs, which can be modeled as MJSs, has not been fully investigated yet. This motivates us to study this interesting. A numerical example is provided to illustrate the effectiveness and potential of the proposed approach
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