Poziv na predavanje: Energy Based Distributed Cooperative Model Predictive Control with Stability Guarantees

Bio: Dr. Mircea Lazar is an Associate Professor in Constrained control of complex systems at the Electrical Engineering Department, Eindhoven University of Technology, The Netherlands. Lazar received the European Embedded Control Institute Ph.D. Award in 2007 for his PhD dissertation and a Veni personal grant from the Dutch Research Council (NWO) in 2008. He supervised 10 PhD researchers (2 received the Cum laude distinction) that received the PhD title. Lazar chaired the 4th IFAC Conference on Nonlinear Model Predictive Control, Noordwijkerhout, The Netherlands, in 2012. His research
interests cover physics-based neural networks, nonlinear and data-driven predictive control, non-monotone Lyapunov functions, compositional stability certificates and distributed control. His research is driven by control problems in high-precision mechatronics, power electronics, power networks, water networks, automotive and biological systems. Lazar published 13 papers in IEEE Transactions on Automatic Control and 15 papers in Automatica. He is an Active Member of the IFAC Technical Committees 1.3 Discrete Event and Hybrid Systems, 2.3 Nonlinear Control Systems and an Associate Editor of IEEE Transactions on Automatic Control.

Abstract: This talk considers the design of distributed model predictive control (MPC) algorithms for networks of dissipative nonlinear systems, with the aim of achieving stability of the overall network. This research is motivated by frequency and voltage stability problems that arise in microgrids (or traditional power systems), but the results are applicable to general interconnected nonlinear systems. We first recall the state-of-the-art in compositional stability certificates for networks of dissipative nonlinear systems and we focus in detail on a specific set of relaxed conditions for stability, termed cyclically neutral supply conditions. Then we exploit the fact that real-life physical systems, such as generators in a microgrid, inherently satisfy an energy based dissipation inequality in terms of local storage and supply functions. We show that in order to achieve stability of the overall network it suffices to design local MPC controllers that co-operate to achieve cyclically neutral supply over the network. This type of distributed cooperative MPC (DC-MPC) solution is very attractive for controlling heterogenous microgrids, as it enables each system in the microgrid to contribute to the stabilization of the complete grid. Also, utilizing energy based storage and supply functions renders the design of the MPC controllers intuitive and physics-compliant. The complete methodology is illustrated for the case study of frequency stabilization in microgrids, which requires solving some specific challenges: dealing with time-varying equilibria and non-positive definite Bregman storage functions. We show that the developed DC-MPC scheme can outperform an alternative distributed averaging control algorithm (DAPI) for a benchmark microgrid example from the literature.