|Network-based Simultaneous H∞ Stabilization for Chemical Reaction Systems with Multiple Packet Dropouts
Yanfei Zhu and Fuwen Yang*
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.104-112, 2017
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."
"Chemical reaction systems, multiple packet dropouts, networked control systems, orthogonal complement, simultaneous H¥ stabilization."
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