Quantized feedback control for Markov jump linear systems with incomplete transition probabilities

This paper considers the quantized feedback control for Markov jump linear systems with incomplete transition probabilities where the effect of current mode observation logarithmic quantizer is counted for. A sufficient condition is proposed in the framework of linear matrix inequalities. Therefore, the coarsest quantization density can be obtained using an optimization problem with convex constraints. A numerical example illustrates the effectiveness of proposed scheme.