This book presents the latest theory and numerical methods for the optimal control of differential-algebraic equations. Readers will find the following features presented in a readable fashion so the results are accessible to the widest audience: the most recent theory, written by leading experts from a number of academic and nonacademic areas and departments, several state-of-the-art numerical methods, and real-world applications.
Audience: This book is intended for applied mathematicians, engineers, and computational scientists from a variety of disciplines who are interested in the optimal control of problems. It will be of interest to those developing methods and theory and those working on real-world applications, especially in control and chemical and mechanical engineering.
Contents: Chapter 1: DAEs, Control, and Optimization; Chapter 2: Regularization of Linear and Nonlinear Descriptor Systems; Chapter 3: Notes on Linearization of DAEs and on Optimization with Differential-Algebraic Constraints; Chapter 4: Spectra and Leading Directions for Linear DAEs; Chapter 5: StratiGraph Tool: Matrix Stratifications in Control Applications; Chapter 6: Descriptor System Techniques in Solving H2/Infinity-Optimal Fault Detection and Isolation Problems; Chapter 7: Normal Forms, High-Gain, and Funnel Control for Linear Differential-Algebraic Systems; Chapter 8: Linear-Quadratic Optimal Control Problems with Switch Points and a Small Parameter; Chapter 9: Mixed-Integer DAE Optimal Control Problems: Necessary Conditions and Bounds; Chapter 10: Optimal Control of a Delay PDE; Chapter 11: Direct Transcription with Moving Finite Elements; Chapter 12: Solving Parameter Estimation Problems with SOCX; Chapter 13: Control of Integrated Chemical Process Systems Using Underlying DAE Models; Chapter 14: DMPC for Building Temperature Regulation; Chapter 15: Dynamic Regularization, Level Set Shape Optimization, and Computed Myography; Chapter 16: The Application of Pontryagin s Minimum Principle for Endpoint Optimization of Batch Processes