Robust Dynamic Output Feedback Event-Triggering Synchronization for Complex Dynamical Networks

Abstract

In this study, we investigate the co-design of dynamic output feedback synchronization controllers and event-triggering conditions for a class of complex dynamical networks (CDNs). The measurement output and control input are transmitted to the controller and actuators asynchronously over the individual communication channels of each network node. We address the sufficient conditions for the $\mathcal {L}_{2}$ stability of the error dynamics between the isolated and network nodes in the presence of external disturbances and noise in the measurement outputs and control inputs. Finally, we propose co-design conditions of the dynamic output feedback law and event-triggering conditions in terms of linear matrix inequalities (LMIs). Based on the proposed LMIs, we formulate an optimization problem to reduce the number of transmissions over each channel of the nodes. Numerical example results are provided to show the effectiveness of the proposed method.

Keywords

• Hybrid dynamical systems
• L₂-stabilization%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">L</italic>₂-stabilization
• linear matrix inequality
• event-triggered control
• complex dynamical network