ECE7750

1. Students shall understand the classification of multi-agent systems and control schemes, the fundamentals of graph theory, how to model information exchange between agents by undirected and directed graphs, and the relationship between the algebraic connectivity of graphs and consensus-like global objectives of single integrator agents and the convergence rate.
2. Students should be able to conduct mathematical analysis for consensus, forced consensus, and formation with single integrator agents and demonstrate the theory with simulations. They shall develop the ability to analyze the stabilizability and detectability of the networked systems and to apply graph theory, linear systems theory, linear algebra, LQR, and the Kronecker product to the analysis and synthesis of distributed controllers enabling the synchronization of networks of high-order LTI systems.
3. Students shall understand the (robust) linear output regulation theory, including the Sylvester and regulator equations, the solvability of the output regulation problems, and the feedforward and p-copy internal model approaches for state and output feedback controllers. They shall develop the skills to recognize, formulate, and solve output regulation problems by feedforward and internal model approach-based controllers. In the simulations, they should be able to tune the control parameters by utilizing modern control techniques, such as eigenvalue assignment and LQR, to meet the given performance requirements of the physical systems.
4. Students shall understand the cooperative output regulation of heterogeneous multi-agent systems. They shall develop the ability to apply graph theory and linear output regulation theory to the analysis and synthesis of distributed controllers
5. Students shall develop the skills to conduct rigorous mathematical analysis for given linear systems, distributed control laws, and the problem. They shall develop the background needed to study, understand, and evaluate recent research articles in distributed control.