Asynchronous Reduced-Order Filtering for Markov Jump Systems and its Application in PWM Circuits

This brief addresses the problem of asynchronous reduced-order filtering for Markov jump systems. The communication between the reduced-order filters and the systems is transmitted through the network. On the one hand, quantization is considered to save network resources; on the other hand, due to the measurement may not be perfect, the system information is a hidden component (i.e., it possesses inaccessibility), therefore reduced-order filters are designed by using the hidden Markov model. Then, the random stability of the plant is guaranteed by a set of conditions derived according to Lyapunov theory. Subsequently, the gains of the designed filters are obtained through decoupling. Finally, the effectiveness of the proposed approach in this brief is confirmed by utilizing a pulse-width-modulation-driven boost converter.