Lévine J., Müllhaupt E. (eds.) Advances in the Theory of Control, Signals and Systems with Physical Modeling

Springer, 2011. — 393.Based on a series of three workshops of a Bernoulli program entitled “Advances in the Theory of Control, Signals and Systems, with Physical Modeling,” this volume provides researchers, engineers and graduate students with an unprecedented collection of topics and internationally acknowledged works.
The first workshop, entitled Electrical and Mechatronical Systems Workshop looked at various applications stemming from Mechatronics, Electrical and Mechanical Engineering, such as MEMS, eletrical machines, robots and car suspension. From the modeling and methodological side, finite dimensional systems (described by ordinary differential equations or difference equations) and infinite dimensional systems (delayed systems, distributed systems, PDEs’, non-integer derivations) were approached for control and signal processing, as well as model-free techniques Indeed, the influence of physical modeling contributed to outline some convergences. In particular, a unifying Lagrangian formalism has been sketched so as to integrate electrical, electronical, magnetic and mechanical aspects of systems, potentially leading to significant simplifications in the analysis of control systems. Both finite dimensional and infinite dimensional models are shown to ease some estimation, adaptative control and observation problems. New applications in emerging fields of mechatronic systems, such as MEMS, or new suspension technologies, have been presented, showing that Mechanics, Mechatronics and Electronics remain a major source of inspiration for control and system theorists.
The aim of the second workshop, entitled Mathematical Tools Workshop, was to serve as a think tank for mathematical paradigms in the fields of Control, Signals and Systems. Again, both finite dimensional and infinite dimensional models have been explored. Various approaches, in the framework of differential geometry and algebra have been examined. Group theory and Riemannian Geometry appeared in many presentations with, in particular, robotics, mechanical systems or quantum control as background applications. Recent advances, in the fields of hamiltonian, lagrangian, quantum, energy-based and flat or non flat control systems have also been presented.
Finally, the third and last workshop, entitled Chemical and Life Science Workshop, concerned new approaches in the analysis of biomedical, biomechanical and reaction systems, possibly coupled with fluid dynamics, with many challenging applications such as cancer treatment and diagnosis. Important results concerning unifying approaches to deal with complex chemical and biochemical reactions have been presented taking into account the network structure of the reactions while ensuring robustness with respect to various unknown parameters and perturbations. The influence of noisy data in the biological and chemical reaction systems has also been approached. Time-scales, transients and bifurcations in ecological systems, population dynamics and biological systems have also received a great attention and their control theoretical perspectives have been envisaged.Part I: Electrical and Mechatronical Systems
Modeling and Control of Multi-Body Mechanical Systems: Part I A Riemannian Geometry Approach
Modeling and Control of Multi-Body Mechanical Systems: Part II Grasping under Rolling Contacts between Arbitrary Shapes
Sliding Mode Control for a High-Speed Linear Axis Driven by Pneumatic Muscles
Using Hamiltonians to Model Saturation in Space Vector Representations of AC Electrical Machines
Iterative Learning Control Using Stochastic Approximation Theory with Application to a Mechatronic System
Elimination Theory for Nonlinear Parameter Estimation
Controlling Underactuated Mechanical Systems: A Review and Open Problems
Time Scaling in Motion Planning and Control of Tree-Like Pendulum Structures
Mechanical Version of the CRONE Suspension
Electrostatic MEMS: Modelling, Control, and Applications
Part II: Mathematical Tools
Flatness Characterization: Two Approaches
Nonholonomic Mechanics, Dissipation and Quantization
Controlled Lagrangians
Compensation of Input Delay for Linear, Nonlinear, Adaptive, and PDE Systems
Boundary Value Problems and Convolutional Systems over Rings of Ultradistributions
Wei-Norman Technique for Control Design of Bilinear ODE Systems with Application to Quantum Control
Interval Methods for Verification and Implementation of Robust Controllers
Rational Interpolation of Rigid-Body Motions
Contact Geometry and Its Application to Control
Part III: Chemical Processes and Life Sciences
Piecewise Affine Models of Regulatory Genetic Networks: Review and Probabilistic Interpretation
A Control Engineering Model for Resolving the TGF-β Paradox in Cancer
A Mathematical Model of Air-Flow Induced Regional Over-Distention during Mechanical Ventilation: Comparing Pressure-Controlled and Volume-Controlled Modes
Positive Feedbacks Contribute to the Robustness of the Cell Cycle with Respect to Molecular Noise
Guaranteed and Randomized Methods for Stability Analysis of Uncertain Metabolic Networks
Coexistence of Three Predators Competing for a Single Biotic
Control Problems for One-Dimensional Fluids and Reactive Fluids with Moving Interfaces
A Port-Hamiltonian Formulation of Open Chemical Reaction Networks
Bifurcations of Dynamical Systems, Logistic and Gompertz Growth Laws in Processes of Aggregation.
Global Uncertainty Analysis for a Model of TNF-Induced NF-κB Signalling