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| DOI： |
| Received:April 18, 2006Revised:September 18, 2006 |
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| Robust fault detection for discrete-time Markovian jump systems with mode-dependent time-delays |
| Hongru WANG;Changhong WANG;Shaoshuai MOU;Huijun GAO |
| (School of Information Communication
Engineering, Harbin Engineering University, Harbin Heilongjiang
150001, China;Space Control and Inertial Technology
Research Center, Harbin Institute of Technology, Harbin Heilongjiang
150001, China;Department of Electrical and Computer Engineering,
The University of Alberta, Edmonton Alberta T6G 2V4, Canada) |
| Abstract: |
| This paper investigates a fault detection problem
for a class of discrete-time Markovian jump systems with
norm-bounded uncertainties and mode-dependent time-delays. Attention
is focused on constructing the residual generator based on the
filter which its parameters matrices are dependent on the system
mode, that is, the fault detection filter is a Markovian jump system
as well. The design of fault detection filter is reduced to
H-infinity filtering problem by using H-infinity control theory,
which can guarantee the difference between the residual and the
fault (or, more generally weighted fault) as small as possible in
the context of enhancing the robustness of residual to modeling
errors, control inputs and unknown inputs. Sufficient condition for
the existence of the above filters is established by means of linear
matrix inequalities, which can be readily {solved by using standard
numerical software. A numerical example is given to illustrate the
feasibility of the proposed method. |
| Key words: Markovian jump system Time-delay Fault detection H-infinity filtering Linear matrix inequality Residual |
