Robust finite-time control for networked control systems

In this paper, the finite-time H_∞ control problem of a class of networked control systems (NCSs) with time delay is investigated. The main results provided in the paper are sufficient conditions for finite-time robust stability with an H_∞ normal bound γ̅ via state feedback. Firstly, an augmentation approach is proposed to model NCSs with time delay as linear system. Secondly, based on finite time stability theory, the sufficient conditions which guarantee that the underlying system is robustly stable with an H_∞ normal bound γ̅ over a finite-time interval are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.