Consensus for High-Order Linear Multi-Agent Systems with Unknown but Bounded Measurement Noises

The static ε-consensus problem for a high-order linear multi-agent system is studied over a connected undirected communication topology, in which the state measurements of neighbors are affected by unknown but bounded( UBB ) noises. Using the dead-zone function and binomial coefficients, we propose a distributed consensus protocol. Under this protocol, all agents achieve static ε-consensus, i. e. , the first components of the states for each agent reach ε-consensus, and the remaining components reach agreement at zero. Numerical examples illustrate the validity of the theoretical results.