Advances in the control of nonlinear systems : [lectures of the 2nd NCN Pedagogical School ... held in Murcia, September 2000

This volume is based on the course notes of the 2nd NCN Pedagogical School, the second in the series of Pedagogical Schools in the frame work of the European TMR project, "Breakthrough in the control of nonlinear systems (Nonlinear Control Network)". The school consists of four courses that have been chosen to give a broad range of techniques for the analysis and synthesis of nonlinear control systems, and have been developed by leading experts in the field. The topics covered are: Differential Algebraic Methods in Nonlinear Systems; Nonlinear QFT; Hybrid Systems; Physics in Control. The book has a pedagogical character, and is specially directed to postgraduates in most areas of engineering and applied sciences like mathematics and physics. It will also be of interest to researchers and practitioners needing a solid introduction to the above topics. Flat Systems, Equivalence And Feedback / Philippe Martin, Richard M. Murray, Pierre Rouchon -- Flat Systems : Open Problems, Infinite Dimensional Extension, Symmetries And Catalog / Philippe Martin, Richard M. Murray, Pierre Rouchon -- Fundamentals Of Nonlinear Quantitative Feedback Theory / Isaac M. Horowitz, Alfonso Baños -- Introduction To Discrete Event Systems / Francisco J. Montoya, René K. Boel -- Petri Nets Models Of Timed Discrete Event Plants / René K. Boel -- Modelling And Analysis Of Hybrid Dynamical Systems / Arjan Van Der Schaft, Johannes M. Schumacher -- On Modelling And Control Of Mass Balance Systems / Georges Bastin -- Network Modelling Of Physical Systems : A Geometric Approach / Arjan Van Der Schaft, Bernhard Maschke, Romeo Ortega -- Energy Shaping Control Revisited / Romeo Ortega [and Others] -- Geometric Modeling Of Mechanical Systems For Interactive Control / Stefano Stramigioli. Alfonso Baños, Françoise Lamnabhi-lagarrigue, And Francisco J. Montoya, (eds.). Includes Bibliographical References And Index. Introduction....Pages 3-3 Flat systems, equivalence and feedback....Pages 5-32 Flat systems: open problems, infinite dimensional extension, symmetries and catalog....Pages 33-57 Introduction....Pages 61-61 Fundamentals of nonlinear quantitative feedback theory....Pages 63-132 Introduction....Pages 135-135 Introduction to discrete event systems....Pages 137-162 Petri nets models of timed discrete event plants....Pages 163-194 Modelling and analysis of hybrid dynamical systems....Pages 195-224 Introduction....Pages 227-227 On modelling and control of mass balance systems....Pages 229-251 Network modelling of physical systems: a geometric approach....Pages 253-276 Energy shaping control revisited....Pages 277-307 Geometric modeling of mechanical systems for interactive control....Pages 309-332 Control systems are ubiquitous in modern technology.