Dissipative Systems Analysis and Control: Theory and Applications

Many important physical systems have input-output properties related to the conservation, dissipation and transport of energy. The theory surrounding such "dissipative properties" may be used as a framework for the design and analysis of control systems. The consideration of dissipativity is useful - and may be indispensable - for control applications like robotics, active vibration damping and circuit theory and for some control techniques themselves: adaptive, nonlinear-H-infinity, and inverse-optimal control among them.

Dissipative Systems Analysis and Control (second edition) presents a fully revised and expanded treatment of dissipative systems theory, constituting a self-contained, advanced introduction for graduate students, researchers and practising engineers. It examines linear and nonlinear systems with examples of both in each chapter; some infinite-dimensional and nonsmooth examples are also included. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws. The theory is consistently substantiated by experimental results and by reference to its application in illustrative physical cases (Lagrangian and Hamiltonian systems and passivity-based and adaptive controllers are covered thoroughly).

The second edition is substantially reorganized both to accommodate new material and to enhance its pedagogical properties. Some of the changes introduced are:

- Complete proofs of the main theorems and lemmas.

- The Kalman-Yakubovich-Popov Lemma for non-minimal realizations, singular systems, and discrete-time systems (linear and nonlinear).

- Passivity of nonsmooth systems (differential inclusions, variational inequalities, Lagrangian systems with complementarity conditions).

- Sections on optimal control and H-infinity theory.

- An enlarged bibliography with more than 550 references, and an augmented index with more than 500 entries.

- An improved appendix with introductions to viscosity solutions, Riccati equations and some useful matrix algebra.

Bernard Brogliato was born in 1963, graduated from Ecole Normale Supérieure de Cachan (France), Mechanical Engineering Dept., Ph.D. and Habilitation degree in Automatic Control from Grenoble Institute of Technology in 1991 and 1995 respectively. He is Senior Researcher at INRIA Grenoble Rhône-Alpes. Research interests: non-smooth dynamical systems (analysis, control and observation, numerics), impact and contact mechanics, digital sliding-mode control. Wrote about 90 articles in international journals in the fields of Systems and Control, Mechanical Engineering, and Applied Mathematics. Also authored and co-authored five monographs. He was Associate Editor for Automatica (1999-2008), is Associate Editor for Nonlinear Analysis Hybrid Systems, and ASME Journal of Computational and Nonlinear Dynamics.

Rogelio Lozano was born in Monterrey Mexico, on July 12, 1954. He received the B.S. degree in electronic engineering from the National Polytechnic Institute of Mexico in 1975, the M.S. degree in electrical engineering from Centro de Investigación y de Estudios Avanzados (CINVESTAV), Mexico in 1977, and the Ph.D. degree in automatic control from Laboratoire d'Automatique de Grenoble, France, in 1981. He joined the Department of Electrical Engineering at CINVESTAV, Mexico, in 1981 where he worked until 1989. He was Head of the Section of Automatic Control from June 1985 to August 1987. He has held visiting positions at the University of Newcastle, Australia, from November 1983 to November 1984, NASA Langley Research Center VA, from August 1987 to August 1988, and Laboratoire d'Automatique de Grenoble, France, from February 1989 to July 1990. Since 1990 he is a CNRS (Centre National de la Recherche Scientifique) Research Director at University of Technology of Compiègne, France. He was Associate Editor of Automatica in the period 1987-2000. He is associate Editor of the Journal of Intelligent and Robotics Systems since 2012 and Associate Editor in the Int. J. of Adaptive Control and Signal Processing since 1988.

Bernhard Maschke is Professor of Automatic Control of the University Claude Bernard of Lyon, Villeurbanne, France since 2000. The main streamline of his research is the nonlinear and passivity-based control of complex physical systems. He is one of the main initiators of the Port Hamiltonian formalism which bases the modelling, simulation and control of complex physical systems on network theory and thermodynamic theory. He has used this formalism for complex spatial mechanisms and in the mechatronic context of automotive applications and more recently to chemical enginneering processes and various multi-physics and multi-scale systems such as an adsorption process, a fuel cell or an Ion Polymer Metal Composite.

Olav Egeland is a graduate of the Norwegian University of Science and Technology (NTNU), where he is professor of production automation. He was at Marine Cybernetics AS 2004-2011 as co-founder. He has received the Automatica Prize Paper Award and the Outstanding Paper Award of IEEE Trans. Control Systems Technology, and has been Associate Editor of IEEE Trans. Automatic Control and European Journal of Control. His research is on modelling, simulation and control of mechanical systems with applications to robotics and offshore systems.