A practical approach to networked control design for robust H∞ performance in the presence of uncertainties in both communication and system

Abstract This work presents results on the development of robust H∞ control strategy for Networked Control Systems (NCSs) by involving uncertainties in both communication and controlled plant subsystems. The network-induced delays in both communication links (to and from the controller) are assumed to behave as Markov chains. An analytical approach is presented to calculate the transition probabilities of the Markovian network-induced delays. By employing the augmentation method, the resultant system is converted into a delay-free uncertain singular Markovian jump system with bounded transition probabilities. New conditions are established to assure that the uncertain NCS satisfies an H∞ performance requirement. Moreover, sufficient conditions for robust H∞ output feedback controller design are expressed in terms of LMIs. Finally, numerical examples are presented to verify the validity of the proposed controller design method.