H∞ filtering for discrete-time systems with time-varying delay
Signal Processing
Brief paper: New delay-dependent stability criteria for systems with interval delay
Automatica (Journal of IFAC)
Brief paper: Stability analysis for discrete-time switched time-delay systems
Automatica (Journal of IFAC)
Robust fault detection for switched linear systems with state delays
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Automatica (Journal of IFAC)
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
Automatica (Journal of IFAC)
Mixed H∞ and passive filtering for singular systems with time delays
Signal Processing
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In this paper, the fault detection problem is investigated for a class of discrete-time switched linear systems with time-varying delays. The main purpose is to design a fault detection filter such that, for all unknown inputs, control inputs and time delays, the estimation error between the residual and fault is minimized in an exponential way. The fault detection problem is converted into an exponential H"~ filtering problem. By using a newly constructed Lyapunov functional and the average dwell time scheme, a novel delay-dependent sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the developed theoretical results.