Finite-time control for Markovian jump systems subject to randomly occurring quantization

This paper is concerned with the issue of finite-time control for Markovian jump systems randomly occurring quantization. By absorbing the phenomena of unmeasurable state and randomly occurring quantization, a novel nonhomogeneous Markovian switching system is constructed, and an observer-based controller and non-fragile observer are designed. By utilizing Lyapunov function method, sufficient admissibility conditions are derived for the stability of the underlying system in a finite-time domain. Finally, a DC motor model is presented to explain the feasibility and validity of the proposed design method.