Univ logo Performance analysis of distributed control configurations in LQR multi- agent system design Ivana Tomić Supervised by Professor George D. Halikias City University London UKACC PhD Presentation Showcase
Univ logo UKACC PhD Presentation Showcase Slide 2 Motivation Complex systems Cooperation required for the coordinating behaviour Centralized solutions Infeasible Impractical Optimal! Distributed control Local information exchange Neighbouring sets Can we identify optimal or near- optimal schemes?
Univ logo UKACC PhD Presentation Showcase Slide 3 Problem Definition Control of the multi-agent system with limited information available Identical dynamically decoupled agents Existing solution LQR-based design Size of a problem = max degree + 1 Guaranteed stabilizing controller, but there is performance loss.
Univ logo UKACC PhD Presentation Showcase Slide 4 Proposed Solution For single link cut configurations optimality always holds if the initial vector lies is a certain subspace of state-space which is identified Complete Graph vs. Single Link Cut Configurations Sufficient and necessary conditions have been derived for optimality and near-optimality of a specific distributed configurations. Results are verified on a formation of experimental UAVs described by 6-DOF dynamics.
Univ logo UKACC PhD Presentation Showcase Slide 5 Simulation Results Distributed control of linear and nonlinear UAV multi-agent system Integral control of linear and nonlinear UAV multi-agent system
Univ logo UKACC PhD Presentation Showcase Slide 6 Conclusion and future work Project Outcomes: Algorithm for finding near-optimal distributed configurations. Extension to distributed control with integral action. Can be successfully applied to high-order dynamical systems. Future Work: Generalize proofs for an arbitrary network. H ∞ control of distributed configurations.