28,493 research outputs found
Robust Fault Detection of Switched Linear Systems with State Delays
This correspondence deals with the problem of robust fault detection for discrete-time switched systems with state delays under an arbitrary switching signal. The fault detection filter is used as the residual generator, in which the filter parameters are dependent on the system mode. Attention is focused on designing the robust fault detection filter such that, for unknown inputs, control inputs, and model uncertainties, the estimation error between the residuals and faults is minimized. The problem of robust fault detection is converted into an H infin-filtering problem. By a switched Lyapunov functional approach, a sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed method
Riemann-Liouville Fractional Cosine Functions
In this paper, a new notion, named Riemann-Liouville fractional cosine
function is presented. It is proved that a Riemann-Liouville -order
fractional cosine function is equivalent to Riemann-Liouville -order
fractional resolvents introduced in [Z.D. Mei, J.G. Peng, Y. Zhang, Math.
Nachr. 288, No. 7, 784-797 (2015)]
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