A multiple hierarchical structure strategy to quantized control of Markovian switching systems

Abstract

This paper deals with the issue of nonstationary quantized control of Markovian switching systems. A more general networked Markovian switching system is exploited, where the randomly occurring PDs and a mode-dependent logarithmic quantizer are involved. Different from existing works, a novel nonstationary quantizer is introduced by utilizing a multiple hierarchical structure strategy. On the basis of mode-dependent Lyapunov functional, a sufficient condition is formulated and quantized controller gain is designed. In the end, the effectiveness of the theoretical results are proved by an automotive electronic throttle model.