Institute of Electrical and Electronics Engineers, IEEE Transactions on Circuits and Systems II: Express Briefs, 11(58), p. 753-757, 2011
DOI: 10.1109/tcsii.2011.2168018
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This brief addresses the gain-scheduled filtering problem for a class of discrete-time systems with missing mea- surements, nonlinear disturbances, and external stochastic noise. The missing-measurement phenomenon is assumed to occur in a random way, and the missing probability is time-varying with securable upper and lower bounds that can be measured in real time. The multiplicative noise is a state-dependent scalar Gaussian white-noise sequence with known variance. The ad- dressed gain-scheduled filtering problem is concerned with the design of a filter such that, for the admissible random missing measurements, nonlinear parameters, and external noise distur- bances, the error dynamics is exponentially mean-square stable. The desired filter is equipped with time-varying gains based pri- marily on the time-varying missing probability and is therefore less conservative than the traditional filter with fixed gains. It is shown that the filter parameters can be derived in terms of the measurable probability via the semidefinite program method.