Reduced-order H∞ filtering for discrete-time singular systems with lossy measurements

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Reduced-order H∞ filtering for discrete-time singular systems with lossy measurements

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In this study, the authors consider an H∞ filtering problem for discrete-time singular systems with lossy measurements. The authors introduce the stochastic variable satisfying Bernoulli random binary distribution to model the measured outputs. This measurement mode can be used to characterise the effect of data-loss in information transmissions across limited bandwidth communication channels over a wide area. The authors design a filter to cope with the losses, which ensures not only the mean-square stochastic stability but also a prescribed H∞ filtering performance for filtering the error singular system. They also derive sufficient conditions for the existence of such a filter. Finally, the authors give a numerical example to illustrate the effectiveness of the proposed approach.

Inspec keywords: random processes; stability; discrete time systems; filtering theory; mean square error methods; reduced order systems; H∞ control

Other keywords: discrete-time singular systems; reduced order H∞ filtering; error singular system; mean-square stochastic stability; information transmissions; bandwidth communication channels; lossy measurements; stochastic variable; Bernoulli random binary distribution

Subjects: Stability in control theory; Optimal control; Other topics in statistics; Control system analysis and synthesis methods; Signal processing theory; Interpolation and function approximation (numerical analysis); Discrete control systems

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