Optimal consensus algorithm integrated with obstacle avoidance

Abstract

This article proposes a new consensus algorithm for the networked single-integrator systems in an obstacle-laden environment. A novel optimal control approach is utilised to achieve not only multi-agent consensus but also obstacle avoidance capability with minimised control efforts. Three cost functional components are defined to fulfil the respective tasks. In particular, an innovative nonquadratic obstacle avoidance cost function is constructed from an inverse optimal control perspective. The other two components are designed to ensure consensus and constrain the control effort. The asymptotic stability and optimality are proven. In addition, the distributed and analytical optimal control law only requires local information based on the communication topology to guarantee the proposed behaviours, rather than all agents’ information. The consensus and obstacle avoidance are validated through simulations.

Keywords:

• cooperative control
• consensus algorithm
• obstacle avoidance
• optimal control

Acknowledgements

This study was supported in part by the US National Science Foundation CAREER Award ECCS-0846877.