H infinity Control for 2-D Markov Jump Systems Based on Asynchronous Observers.

This study focuses on the issue of asynchronous observer-based H∞ control for Roesser model-based Two-dimensional Markov jump systems. The goal is to develop an asynchronous controller based on observer so that the system maintains asymptotic mean square stability while exhibiting H∞ disturbance attenuation performance. The asynchrony between the observer and the control plant is described by a hidden Markov process. Furthermore, applying the the Lyapunov function method, a prerequisite for achieving asymptotic mean square stability in closed-loop systems, while maintaining a predefined level of H∞ disturbance attenuation performance, is derived. Based on this criterion, a methodology for designing the intended controller is constructed through the utilization of linear matrix inequalities. The applicability of this scheme is illustrated by the thermal process model with Markov jump parameters. [ABSTRACT FROM AUTHOR]