A comparison of overapproximation methods for stability analysis of networked control systems
Résumé
The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and con- troller design for these so-called networked control systems. The goal of this paper is to survey discrete-time modeling approaches that are based on polytopic overapproximations of the uncertain NCS model and lead to LMI-based stability conditions. We discuss the advantages and disadvantages of the existing techniques in both qualitative and quantitative manners. In particular, we apply all methods to benchmark examples providing a numerical comparison of the methods with respect to conservatism as well as numerical complex- ity.