Decentralized quantization control for Markov jump interconnected systems with general transition rates
Wenxiu Yan, Liwei Li · 2023
This paper addresses the problem of decentralized control for Markov jump interconnected systems with generally transition rates. A group of decentralized dynamic output feedback controllers based on local quantized output measurements are designed. Based on the cyclic-small-gain condition, sufficient conditions for the stability of the resultant closed-loop system are obtained. In the controller design, the vertex separator technique and Yang inequality are used to deal with nonlinear terms. Then, linear matrix inequalities are developed to guarantee the stochastic stability of the overall controlled system with H performance. Finally, a simulation is provided to show the effectiveness of the proposed method.