Robust ℋ ∞ stabilisation of networked control systems with packet analyser

The authors investigate the problem of robust ℋ∞ stabilisation for a class of networked control systems (NCSs) with both network-induced delay and packet dropout. In order to obtain a less conservative and robust ℋ∞ stability criterion, the authors establish an appropriate Lyapunov–Krasovskii functional and propose a relevant free-weighting matrix method endowed with extra degrees of freedom through the introduction of novel relaxation variables associated with ∫Ω xT(α)(•)ẋ(α) dα. Subsequently, on the basis of the obtained stability criterion, the authors derive the ℋ∞ stabilisation condition for NCSs with norm-bounded parameter uncertainty. Furthermore, the authors provide four numerical examples to illustrate the effectiveness of the proposed approach.