Sampling rate tracking control of networked control systems based on cognitive knowledge of packet disordering

This paper focuses on the sampling rate tracking control of networked control systems (NCSs) with packet disordering. In view of the coupled relation between packet disordering and sampling rate, a novel sampling rate control algorithm, referring to the cognitive knowledge of packet disordering, is presented. Based on it, a controller that jointly controls sampling rate and the plant is proposed, and an augmented model of NCSs is constructed. A sufficient condition under which the close-loop systems are stochastically stable is derived. Moreover, the actual sampling period tracks a desired sampling period according to tracking control method. The controller design is presented for NCSs in terms of linear matrix inequalities (LMIs) technique. Finally, A numerical example is given to illustrate the effectiveness of the proposed method.