Dr. Angeli's research focus is on stability, performance and control of nonlinear systems. His research interests range in the following areas:
Economic Model Predictive Control
Stability of Nonlinear Systems
Chemical Reaction Networks Theory
Control solutions for Smart Grids
Economic Model Predictive Control.
This is an emerging field in MPC, aiming at allowing a simultaneous treatment of economic planning and decision making with real-time control. Algorithms, analysis and evaluation tools for general nonlinear plants, computational solutions are the main focus of this line of research.
Stability of Nonlinear Systems.
Dr. Angeli has contributed to the definition of the Input-to-State Stability framework for nonlinear systems analysis. His current research is focused on extending the approach to more general nonlinear systems, including multistable systems, oscillators, general systems on manifolds with multiple attractors.
Chemical Reaction Networks Theory.
This area of dynamical systems is concerned with the qualitative behaviour of ODE models of networks of chemical interactions. Dr. Angeli's research focuses on Global Stability, Lyapunov functions and origin of Hopf's bifurcations.
Dr. Angeli collaborates with the leading US control expert in the field of systems biology (Prof. E. Sontag) to the development of theoretic tools for the analysis and modular decomposition of models arising in molecular biology. The research so far has focused on monotone control systems and the dynamics of their interconnections.
Control Solutions for Smart Grids.
The future development of Smart Grids will require innovative control solutions for managing power distribution and pricing in order to accomodate a growing penetration of renewable generation. The focus of this line of research is on distributed solutions for Demand-side management and Energy Storage.
Dr. Denis Efimov, INRIA, Lille, France, Stability of Nonlinear Systems, 2012
Prof. Alessandro Casavola, Universita' della Calabria, Dip. Elettronica Informatica Sistemistica, Model Predictive Control, 1999 - 2008
Dr. Sabato Manfredi, University of Naples, "Federico II", Networked systems and consensus, 2012 - 2013
Prof. Hiroshi Ito, Nagoya University, Dept. of Applied Physics, Stability of Nonlinear Systems, 2012
Dr. Antoine Chaillet, SUPELEC, Gif-sur-Yvette, France, Stability of Nonlinear Systems, 2008
Dr. Pierre-Alexandre Bliman, INRIA de Rocquencourt (Paris), Consensus dynamics, 2007 - 2009
Prof. Emeritus Morris W. Hirsch, University of California Berkeley, Dept. of Mathematics, Monotone dynamical systems, 2009 - 2009
Dr. Patrick De Leenheer, University of Florida (Gainesville), Dept. of Mathematics, Chemical Reaction Networks, 2007 - 2011
Prof. Russell Johnson, University of Florence, Dept. Systems and Computer Science, Dynamical Systems, 2006 - 2012
Dr. Murad Banaji, University of Portsmouth, Dept. of Mathematics, Chemical Reaction Networks Theory, 2010
Prof. Laurent Praly, MINES Paristech, Paris, Centre Automatique et Systemes, Stability of Nonlinear Systems, 2010
Prof. Frank Allgower, University of Stuttgart, Institute for Systems Theory and Automatic Control, Economic Model Predictive Control, 2012
Prof. James Rawlings, University of Wisconsin, Madison, College of Engineering, Economic Model Predictive Control, 2010
Prof. Eduardo Sontag, Rutgers University, Dept. of Mathematics, Chemical Networks, Stability of nonlinear systems, monotone systems, 1998
Plenary MICNON2018: "From stabilizing to economic NMPC: Three decades of receding horizon control theory", Guadalajara, Mexico, 2018
Plenary talk: "Input-to-State Stability of systems with Complex Dynamics"Conference on Stability and Oscillations of Nonlinear Control Systems, 2018, Russian Academy of Sciences, Trapeznikov Institute, Moscow, Russia, 2018
Semiplenary talk: European Control Conference 2016, Aalborg, Denmark, 2016
Plenary Talk: Theoretical advances on Economic Model Predictive Control with time-varying costs, IFAC Workshop on Nonlinear Model Predictive Control, Seville, Spain, 2015
Semiplenary talk: Receding Horizon Cost Optimization and Control for Nonlinear Plants, 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy, 2010
Plenary talk: Open problems in Chemical Reaction Networks: how structure affects dynamics, 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, 2012
Research Student Supervision
Forni,P, The Input-to-State Stability framework for Multistable Systems on Manifolds
Muhammad Ali Al-Rhadawi,, Structural Stability of Chemical Reaction Networks
Antonio De Paola,, Distributed solutions for Frequency Regulation in Power Grids
Jaehwa Lee,, Distributed Economic Model Predictive Control