The Finite Time Control Problem For Networked Control Systems

Firstly, this thesis investigates the finite-time control problem for networked control systems (NCSs) with network-induced delay. A particular linear transformation is introduced to convert the original time-delay system into a delay-free form. Based on finite-time stability theory combined with linear matrix inequalities (LMIs) techniques, a sufficient condition that ensures finite-time performance of networked control systems is derived. Numerical example illustrates the feasibility of the developed approaches.Secondly, it investigates the finite-time control problem for networked control systems (NCSs) with time-varying delays. Based on Lyapunov stability theory and linear matrix inequalities (LMIs) techniques, sufficient conditions that ensure finite-time performance of networked control systems are derived.Finally, it considers the finite-time H∞control problem via state feedback for a class of networked control systems with time-varying norm-bounded exogenous disturbance. A sufficient condition that ensures the closed-loop system is finite-time bounded (FTB) is given, and reduces the effect of the disturbance input on the controlled output to a prescribed level. The condition can be turned into feasibility problems involving LMI’s. A numerical example is given to demonstrate the validity of the proposed methodology.