Robust Output Consensus for Networks of Homogeneous Negative Imaginary Systems

Abstract

This paper is concerned with robust output consensus for networks of homogeneous negative imaginary (NI) systems under L2 external disturbances and model uncertainty in a generalised framework. By removing certain assumptions which had been imposed in earlier studies, we derive generalised conditions that guarantee robust output consensus of the networked systems by means of recently published generalised internal stability results for NI systems. The proposed conditions are shown to reduce to earlier conditions in literature by imposing the same assumptions. A convergence analysis is also provided which is in agreement with the conclusions of previous literature. An example that demonstrates the effectiveness of the results is also provided.