Dynamic output-feedback-based H∞H∞ design for networked control systems with multipath packet dropouts

This paper is devoted to the stability of networked control system with time-varying delays. A dynamic output feedback controller is designed to realize H∞H∞ control of the networked system with the H∞H∞ performance attenuation level γ. Since the frequent occurrence of packet dropouts and communication delays which all could degrade the performance of system or even cause system instability, we consider the networked control system with both input and output packet dropouts and bidirectional time-varying communication delays. Some sufficient conditions are obtained to grantee asymptotic stability of the system in view of Schur complement and singular values decomposition of matrix. Afterwards, intensive analysis is carried out to present the existence of admissible dynamic output feedback controller by applying an appropriate weighting method which introduces slack matrices variables. What is more, a numerical example is presented to illustrate the validity of theoretical analysis.