Distributed Consensus Control of Feedforward Nonlinear Multi-Agent System with Actuator Dynamic Governed by Unstable Parabolic PDE

In this paper, the distributed consensus problem of nonlinear feedforward multi-agent system with actuator dynamic governed by unstable parabolic PDE is studied. Each agent is modelled by a feedforward nonlinear system with an actuator which dynamic governed by unstable diffusion partial differential equation. By using a series of linear transformations including but not limited to the Volterra integral transformation, the distributed consensus problem of multi-agent system is converted into a stabilization problem. Then the distributed controller is designed and the stability of the error system is analyzed. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.