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This study addresses the problem of designing state feedback controllers for Markov jump systems subject to input quantisation mismatch, and general transition rates allowed to be uncertain and unknown. First, a non-linear control law is constructed for eliminating the effect of input quantisation in the presence of mismatch between quantisation parameters. Then, a new method based on vertex separator...
An iterative linear matrix inequality (LMI) approach is proposed to design fault-detection filters (FDFs) of uncertain linear time-invariant (LTI) systems. The obtained FDF is the optimal solution for the Hi/H∞ (with H∞/H∞ and H-/H∞ being two extreme cases) optimisation problem of FDF design and can achieve the best trade-off between robustness against unknown disturbances and sensitivity to system...
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