Control of Complex Systems
Description
This book celebrates Doctor Sophie Tarbouriech's achievements in systems, control and related topics. The contributions in this book summarize the content of invited lectures given at the workshop "Methods and Algorithms for the Control of Complex Systems" held in Banyuls, France in late August 2024 in honor of Doctor Tarbouriech's sixtieth birthday. These contributions are the work of forty-four distinguished researchers from nine countries and are related to Doctor Tarbouriech's areas of research, being organized in parts dealing with:
- static nonlinearities;
- robustness analysis;
- networked and hybrid systems;
- partial-differential-equation systems; and
- data-driven control.
This Festschrift volume remains as a permanent scientific record of this event and is of interest to academic researchers working in any of the listed topics.
Control of Complex Systems presents recent control methods and algorithms for analysing the stability or guaranteeing the performance of complex dynamical systems. Several classes of systems are covered, including nonlinear, hybrid and infinite-dimensional systems. Various control strategies are addressed, including reset control, anti-windup, event-based control, impulsive control, boundary control for PDEs and data-driven control. Analysis and design objectives include, among others, synchronization, robustness of linear and nonlinear systems, anti-windup loops and convex optimization for stability. Applications include aeronautics and space, control of physical systems with isolated nonlinearities and epidemiological models.
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Persons
Lucie Baudouin received the PhD. degree in applied mathematics from the University of Versailles Saint-Quentin in 2004, and the Habilitation à Diriger des Recherches from University of Toulouse, France, in 2014. From 2006, she was an Associate Researcher and since 2022, she is a Senior Researcher at CNRS, LAAS, Toulouse.
Francesco Ferrante received the B.Sc. and M.Sc. degrees in control engineering in Italy in 2010 and 2012, and the Ph.D. degree in control theory from SUPAERO, France, in 2015. He held postdoctoral positions at Clemson University and the University of California, Santa Cruz, and was an Assistant Professor at Université Grenoble Alpes (2017-2021). Since 2021, he has been an Associate Professor at the University of Perugia, Italy. He serves as Associate Editor for several leading control journals and is an IEEE Senior Member.
Joao Manoel Gomes da Silva Junior received the electrical engineering degree from the Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Brazil, in 1992, the M.Sc. degree in electrical engineering from the Universidade Federal de Santa Catarina (UFSC), Florianópolis, Brazil, in 1994, and the Ph.D. ("Doctorat en Automatique") degree from the Université Paul Sabatier, Toulouse, France, in 1997. In 1997, he joined the UFRGS, where he is currently a Full Professor. He was Associate Editor for the IEEE Control Systems Letters and the International Journal of Robust and Nonlinear Control. He is currently Senior Editor of Automatica and Associate Editor of the IFAC Journal on Systems and Control.
Christophe Prieur graduated from the Ecole Normale Supérieure de Cachan, France and received the Ph.D. degree in 2001 in Applied Mathematics. He has been a senior researcher of the CNRS at the Gipsa-lab, Grenoble since 2011. He has been the chair of the IEEE-CSS Conference Editorial Board since 2026 and he is currently the President of the European Control Association. He is an IMA Fellow, and an IEEE Fellow.
Content
Introduction.- Part I: Robustness Analysis.- Robustness and Resilience of Natural Systems: a Control Perspective.- Initialization Strategies and Convergence Improvements in Output-feedback Control Synthesis Algorithms Based on the Double Application of Finsler's Lemma.- On Positively Invariant Polyhedral Sets and Bilinear Programming for Designing Constrained Controllers.- Mathematics of Control to Understand and Design Mechanisms.- Part II: Static Nonlinearities.- Anti-windup Approaches for Systems with Input Quantization and Saturation.- Control Design for Ultimate Boundedness of Linear Systems with Asymmetric Input Backlash and Dead-Zone.- On the Well-Posedness of Implicit Piecewise Affine Functions.- Analysis and Synthesis of Linear Saturated Feedbacks via Sign-Indefinite Quadratic Forms.- Part III: Networked and Hybrid Systems.- Observability and Diagnosability of Hybrid Dynamical Systems.- Controlling the Complex Dynamics of the Impulsive Goodwin's Oscillator.- Event Trigger Mechanism Design: A Direct Transmission Minimization Strategy.- Part IV: PDE Systems.- Consensus of Reaction-Diffusion Equations with Internal Coupling.- A Survey on Sliding-Mode Algorithms for PDEs: Well-Posedness.- Part V: Data-Driven Control.- Kriging Methods for Data-Driven Systems.- Data-Driven Methods for State Estimation in the Presence of Disturbances.