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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper is concerned with the stability of a class of multi-rate networked control systems which incorporate a remote controller and a local controller. These two controllers are implemented at different frequencies to reduce the network transmission delay and achieve good control performance. Sufficient and necessary stability conditions are established when the network transmission delay is constant or periodic. When the network transmission delay is time-varying, sufficient stability conditions are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed results.
Keywords:Control theory and control engineering; Networked control system; Network transmission delay; Multi-rate; Stability; Linear matrix inequality (LMI)