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-l...
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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 algorithm is proposed for designing the controller. A sufficient condition is derived such that the stochastic stability and also the disturbance attenuation performance of the resulting closed-loop system can be ensured. Moreover, it is proved that the obtained result is theoretically less conservative than previous results. Finally, numerical examples are presented to show the effectiveness and advantages of the proposed method.
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