Krasovskii and Shifted Passivity Based Output Consensus

TL;DR

This paper introduces a distributed output feedback controller for nonlinear systems to achieve output consensus influenced by external disturbances, applicable to power networks, based on Krasovskii or shifted passivity conditions.

Contribution

It proposes a simple controller design that guarantees output consensus for passive nonlinear systems affected by external disturbances.

Findings

Controller successfully achieves consensus in simulations of power networks.

The approach relies solely on Krasovskii or shifted passivity, simplifying design.

Effective in power network scenarios with external power demand disturbances.

Abstract

Motivated by current sharing in power networks, we consider a class of output consensus (also called agreement) problems for nonlinear systems, where the consensus value is determined by external disturbances, e.g., power demand. This output consensus problem is solved by a simple distributed output feedback controller if a system is either Krasovskii or shifted passive, which is the only essential requirement. The effectiveness of the proposed controller is shown in simulation on an islanded DC power network.