Cooperative Output Feedback Tracking Control of Stochastic Linear Heterogeneous Multiagent Systems

Abstract

We study cooperative output feedback tracking control of stochastic linear heterogeneous leader- following multiagent systems. Each agent has a conti- nuous-time linear heterogeneous dynamics with incompletely measurable state, and there are additive and multiplicative noises along with information exchange among agents. We propose a set of admissible distributed observation strategies for estimating the leader’s and the followers’ states and a set of admissible cooperative output feedback control strategies based on the certainty equivalence principle. By output regulation theory and stochastic analysis, we show that for observable leader’s dynamics and stabilizable and detectable followers’ dynamics, if the intensity coefficient of multiplicative noises multiplied by the sum of real parts of the leader’s unstable modes is less than one-fourth of the minimum nonzero eigenvalue of graph Laplacian, then there exist admissible distributed observation and cooperative control strategies to ensure mean square bounded output tracking, provided the associated output regulation equations are solvable. Finally, the effectiveness of our control strategies is demonstrated by a numerical simulation.