Optimal Design and Control: Proceedings of the Workshop on Optimal Design and Control Blacksburg, Virginia April 8–9, 1994 (Progress in Systems and Control Theory (19))

This volume is the proceedings of the Workshop on Optimal Design and Control that was held in Blacksburg, Virginia, April 8-9, 1994. The workshop was spon­ sored by the Air Force Office of Scientific Research through the Air Force Center for Optimal Design and Control (CODAC) at Virginia Tech. The workshop was a gathering of engineers and mathematicians actively in­ volved in innovative research in control and optimization, with emphasis placed on problems governed by partial differential equations. The interdisciplinary nature of the workshop and the wide range of subdisciplines represented by the partici­ pants enabled an exchange of valuable information and also led to significant dis­ cussions about multidisciplinary optimization issues. One of the goals of the work­ shop was to include laboratory, industrial, and academic researchers so that anal­ yses, algorithms, implementations, and applications could all be well-represented in the talks; this interdisciplinary nature is reflected in these proceedings. An overriding impression that can be gleaned from the papers in this volume is the complexity of problems addressed by not only those authors engaged in appli­ cations, but also by those engaged in algorithmic development and even mathemat­ ical analyses. Thus, in many instances, systematic approaches using fully nonlin­ ear constraint equations are routinely used to solve control and optimization prob­ lems, in some cases replacing ad-hoc or empirically based procedures. Front Matter....Pages ii-xii Multilevel Algorithms for Nonlinear Optmization....Pages 1-22 Shape Optimization in One Shot....Pages 23-40 Computational Aspects of Differential Dynamic Programming and Nonlinear Programming Techniques for Optimal Control....Pages 41-54 Optimal Control of Metal Forging....Pages 55-80 The Application of Sparse Least Squares in Aerospace Design Problems....Pages 81-96 Algorithms for Flow Control and Optimization....Pages 97-116 A Generalized Reduced Gradient Algorithm for Large-scale Trajectory Optimization Problems....Pages 117-132 The Optimal Design Problem of Céa and Malanowski Revisited....Pages 133-150 Uniformly Stable Spline Approximations for Scalar Delay Problems....Pages 151-157 Implicit Filtering and Optimal Design Problems....Pages 159-176 Generating Conjugate Directions Using Limited Second Derivatives....Pages 177-188 Contact Shape Optimization....Pages 189-198 Optimal Control of Thermally Coupled Navier Stokes Equations....Pages 199-214 Optimization Methods in the Process Control of Industrial Furnaces....Pages 215-228 Maximal Decay Rates and Asymptotic Behavior of Solutions in Nonlinear Elastic Structures....Pages 229-240 Preparation of Advanced CFD Codes for use in Sensitivity Analyses and Multidisiplinary Design Optimization....Pages 241-274 An Introduction to the Formation Theory of Active Materials....Pages 275-286 Back Matter....Pages 287-288