H∞ filtering for nonuniformly sampled systems

摘要

This paper is concerned with the design of an H∞ filter for a discrete-time system, for which the measurement is sampled nonuniformly but the control is updated uniformly at a fast rate. It is shown that this type of system can be represented by a discrete-time Markovian jump system by modeling the nonuniform measurement using a Markov chain. A mode-dependent H∞ filter is constructed. Sufficient LMI conditions are derived to ensure stochastic stability and H∞ disturbance attenuation for the error system. The effectiveness of the proposed approach is demonstrated through a numerical example.