Network-based simultaneous H ∞ stabilization for chemical reaction systems with multiple packet dropouts

Abstract

In this paper, we study a novel control problem for network-based chemical reaction systems by virtue of a simultaneous H∞ stabilization methodology. In the presence of multiple packet dropouts, a finite collection of stochastic parameter subsystems are extended to describe the networked control system (NCS). A single remote network-based controller is designed to simultaneously stabilize the multiple stochastic parameter subsystems in the sense of mean square and capture the H∞ control performance. Based on an orthogonal complement space technique, a novel matrix inequality framework is established, where the controller gain is parametrized by the introduction of a common free positive definite matrix, which is independent of the multiple Lyapunov matrices. Furthermore, an iterative linear matrix inequality (ILMI) algorithm is developed to deal with the proposed framework. Simulation results of a typical network-based chemical reaction system are provided to illustrate the effectiveness of the proposed scheme.