Distributed Optimization-Based Control of Multi-Agent Networks in Complex Environments

ISBN-13: 9783319190716 / Angielski / Miękka / 2015 / 124 str.

Minghui Zhu; Sonia Martinez

Opis

This book offers a concise and in-depth exposition of specific algorithmic solutions for distributed optimization based control of multi-agent networks and their performance analysis. It synthesizes and analyzes distributed strategies for three collaborative tasks: distributed cooperative optimization, mobile sensor deployment and multi-vehicle formation control. The book integrates miscellaneous ideas and tools from dynamic systems, control theory, graph theory, optimization, game theory and Markov chains to address the particular challenges introduced by such complexities in the environment as topological dynamics, environmental uncertainties, and potential cyber-attack by human adversaries.The book is written for first- or second-year graduate students in a variety of engineering disciplines, including control, robotics, decision-making, optimization and algorithms and with backgrounds in aerospace engineering, computer science, electrical engineering, mechanical engineering and operations research. Researchers in these areas may also find the book useful as a reference.

Spis treści

1 Preliminaries.- 1.1 Basic Notations.- 1.2 The Consensus Problem.- 1.3 Convex Optimization.- 1.4 Non-Cooperative Game Theory.- 1.5 Markov Chains.- 1.6 Notes.- 2 Distributed Cooperative Optimization.- 2.1 Introduction.- 2.2 Problem Formulation.- 2.3 Case (I): Absence of Equality Constraint.- 2.4 Case (Ii): Identical Local Constraint Sets.- 2.5 Appendix.- 2.6 Notes.- 3 Game Theoretic Optimal Sensor Deployment.- 3.1 Introduction.- 3.2 Problem Formulation.- 3.3 Distributed Learning Algorithms.- 3.4 Convergence Analysis.- 3.5 Numerical Examples.- 3.6 Notes.- 4 Distributed Resilient Formation Control.- 4.1 Introduction.- 4.2 Problem Formulation.- 4.3 Preliminaries.- 4.4 Distributed Attack-Resilient Algorithm.- 4.5 Convergence Analysis.- 4.6 Discussion.- 4.7 Numerical Examples.- 4.8 Notes.- Index.- References.

O autorze

Minghui Zhu is the Dorothy Quiggle Assistant Professor in the Department of Electrical Engineering at the Pennsylvania State University. Prior to that, he was a postdoctoral associate in the Laboratory for Information and Decision Systems at the Massachusetts Institute of Technology. He received Ph.D. in Engineering Science (Mechanical Engineering) from the University of California, San Diego in 2011. His research interests lie in the design, analysis and control of multi-agent networks with applications in multi-vehicle networks, security and the smart grid. He was the recipient of the Powell fellowship and the Back fellowship at the University of California, San Diego in 2007. For his Ph.D. research, he received the award of Outstanding Graduate Student of Mechanical and Aerospace Engineering at the University of California, San Diego in 2011. He is an outstanding reviewer of Automatica in 2013 and 2014.
Sonia Martínez is a Professor at the Department of Mechanical and Aerospace Engineering at the University of California, San Diego. Prof. Martínez received her Ph.D.  degree in Engineering Mathematics from the Universidad Carlos III de Madrid, Spain, in May 2002.  Following a year as a Visiting Assistant Professor of Applied Mathematics at the Technical University of Catalonia, Spain, she obtained a Postdoctoral Fulbright Fellowship and held appointments at the Coordinated Science Laboratory of the University of Illinois, Urbana-Champaign during 2004, and at the Center for Control, Dynamical systems and Computation (CCDC) of the University of California, Santa Barbara during 2005. From January 2006 to June 2010, and then from July 2010 to June 2014, she was an Assistant Professor, and then Associate Professor, with the department of Mechanical and Aerospace Engineering at the University of California, San Diego. Dr Martínez' main reseach interests include the control of network systems, multi-agent systems, nonlinear control theory, and robotics.  In particular, she has focused on the modeling and control of robotic sensor networks, the development of distributed coordination and estimation algorithms for groups of autonomous vehicles, and the geometric control of mechanical systems. She was the recipient of a NSF CAREER Award in 2007. For the paper "Motion coordination with Distributed Information," co-authored with Jorge Cortés and Francesco Bullo, she received the 2008 Control SystemsMagazine Outstanding Paper Award.