AN LMI APPROACH TO H_∞ CONTROL OF NETWORKED CONTROL SYSTEMS

摘要

Networked control systems (NCSs) are of major interest nowadays with the development and applications of computer and information technology in industry. The main problem encountered in the application of NCSs to real-time system control is lack of the approaches in system modelling and analysis. Time delays are inevitable and unpredictable due to the transmission delay of communication network. When the time delays are taken into account, the traditional methods in both system characteristic analysis and design may not be validated. Based on a brief introduction of NCSs with network-induced time delays, this paper proposes to investigate the H_∞ control problem of NCSs with stochastic time delays by using a combined method of sampled-data system technique and time delay system H_∞ control theory. Applying a linear matrix inequality (LMI) approach, the sufficient conditions for the existence and further solution of state feedback controller are derived in terms of LMIs. It is shown that the H_∞ controller can be constructed by using LMI solutions.