Optimal Monitoring and Robust Control of Spatial Diffusion Processes in Uncertain Environments: A Mobile Sensing Approach

Abstract

This paper investigates the optimal monitoring and robust control of an array of forest fire processes modelled as spatial diffusion processes with uncertainty. An optimized framework is proposed for mobile measurement and control of forest fires using mobile actuator-sensor networks with multiple packet losses. By employing Lyapunov functional approach, some sufficient conditions are derived under decentralized output feedback control strategy. The robust stability criterion includes linear operator inequalities and velocity laws for mobile actuation-sensing devices. Also, the case of collocated control and non-collocated control are discussed in the results. Finally, a simulation example is provided to demonstrate the results obtained.