Abstract

In this work, single-integrator multi-agent directed networks with energy bounded disturbances and Guassian white noises are considered in term of H₂ and H_∞ performance. Meanwhile actuator uncertainty is also the concern of H_∞ performance. Distributed control law of undetermined parameters is proposed. By using H₂/H_∞ theory and linear algebra, the problem is transformed into a non-convex optimization problem on diagonal matrices. Numerical iterative algorithms with consideration on both feasibility and conservatism are presented.