Stability Design for Networked Control System with Equality Constraint

Stability of the networked control system(NCS) with equality constraint is studied.On the assumption that the network delay changes randomly and the plant under the control of the NCS is a time-delay system with equality constraint,the NCS is modeled as a hybrid system.Then,the Lyapunov function and linear matrix inequality(LMI) methods are used to derive a sufficient condition for the asymptotical stability of the hybrid system.With this sufficient condition,by solving linear matrix inequality,the system maximum allowable network-delay and the controller at this time can be obtained easily.The numerical example and simulation are presented to demonstrate the effectiveness of the proposed design approach.