Optimal Control of Complex Structures

Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics. This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.

Reduced Order Based Compensator Control of Thin Film Growth in a CVD Reactor.- On Modeling and Design Problems in Micro Diffractive Optics.- A Linearized Model for Boundary Layer Equations.- Numerical Solution of Optimal Control Problems Governed by the Compressible Navier-Stokes Equations.- Intrinsic Asymptotic Model of Piezoelectric Shells.- Modeling, Simulation and Control of Laser Heat Treatments.- Numerical Analysis in Optimal Control.- Optimal Control of the Drift Diffusion Model for Semiconductor Devices.- Fully Coupled Model of a Nonlinear Thin Plate Excited by Piezoelectric Actuators.- Topology Optimization of High Power Electronic Devices.- Effects of Thickness on Sharp Trace Regularity for a Kirchhoff Plate with Free Boundary.- On the Solvability of Trigonometric Moment Problems Arising in the Problem of Controllability of Rotating Beams.- Domain Decomposition in Optimal Boundary Control of Hyperbolic Equations with Boundary Damping.- Optimal Regularity of Elastic and Thermoelastic Kirchhoff Plates with Clamped Boundary Control.- The Interplay of Convection, Conduction and Phase Transition in a Shape-memory Alloy.- Semipermeable Curves and Level Sets of the Value Function in Differential Games with the Homicidal Chauffeur Dynamics.- Sensitivity Calculations for 2D-Optimization of Turbomachine Blading.- A Gauss-Newton Method for the Identification of Nonlinear Heat Transfer Laws.- Topological Derivatives of Shape Functionals for Elasticity Systems.- Control Variational Methods for Differential Equations.- Control of Czochralski Crystal Growth.- Boundary Control of the Burgers Equation: Optimality Conditions and Reduced-order Approach.- Flow Matching by Shape Design for the Navier-Stokes System (suppl.).