Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Fault detection with network communication
International Journal of Systems Science - Fault Diagnosis and Fault Tolerant Control
On mode-dependent H∞ filtering for network-based discrete-time systems
Signal Processing
Automatica (Journal of IFAC)
Filtering for discrete-time nonhomogeneous Markov jump systems with uncertainties
Information Sciences: an International Journal
Information Sciences: an International Journal
Hi-index | 22.15 |
In this paper, the problem of H"~ filtering for a class of discrete-time Markovian jump linear systems (MJLS) with partly unknown transition probabilities is investigated. The considered systems are more general, which cover the MJLS with completely known and completely unknown transition probabilities as two special cases. A mode-dependent full-order filter is constructed and the bounded real lemma (BRL) for the resulting filtering error system is derived via LMI formulation. Then, an improved version of the BRL is further given by introducing additional slack matrix variables to eliminate the cross coupling between system matrices and Lyapunov matrices among different operation modes. Finally, the existence criterion of the desired filter is obtained such that the corresponding filtering error system is stochastically stable with a guaranteed H"~ performance index. A numerical example is presented to illustrate the effectiveness and potential of the developed theoretical results.