Stabilisation of networked delta operator systems with uncertainty

This study is concerned with the robust stabilisation problem of networked delta operator systems with time delays and packet losses. To avoid the inherent drawback of the standard shift-domain model at high sampling rates, the uncertain delta operator model is employed to describe the plant of networked control systems. Under this framework, by guaranteeing the deceasement of Lyapunov functional at each updating period rather than at each sampling period, a sufficient robust stability condition in terms of linear matrix inequalities is presented. Based on this criterion, the robust stabilising controller design method is also provided. The results acquired in this study are network parameters dependent in the sense that they depend on not only the bounds of time delays but also the bound of maximum consecutive packet losses. Numerical examples are given to show the effectiveness and potential of the developed theoretical results.