$$H_\infty $$ Filtering for Discrete-Time Switched Stochastic Time-Delay Systems with Missing Measurement

In Chapter 4, we have investigated the stability and passivity of discrete-time switched time-delay system with mixed time delays. Now, we are on the stage to discuss the \(H_\infty \) filtering problem for such a kind of switched time-delay system. Specifically, the target plant is modeled by a discrete-time switched time-delay systems with mixed time delays and nonlinear perturbations. The main attention is how to estimate the unknown states by using the measurement, which may be lost due to possible sensor failure or channel jamming. Some sufficient conditions are presented such that the considered filtering problem is solvable and the filter gain parameters are then determined. Finally, a simulation example is given to show the effectiveness of proposed design.