By Lorenz T. Biegler, Stephen L. Campbell, Volker Mehrmann
Differential-algebraic equations are the main average method to mathematically version many advanced platforms in technology and engineering. as soon as the version is derived, it is very important optimize the layout parameters and keep an eye on it within the such a lot strong and effective strategy to maximize functionality.
This booklet offers the most recent conception and numerical equipment for the optimum keep watch over of differential-algebraic equations. Readers will locate the subsequent positive aspects offered in a readable style so the consequences are obtainable to the widest viewers: the latest concept, written through prime specialists from a couple of educational and nonacademic parts and departments, numerous state of the art numerical tools, and real-world applications.
Audience: This e-book is meant for utilized mathematicians, engineers, and computational scientists from a number of disciplines who're attracted to the optimum regulate of difficulties. it is going to be of curiosity to these constructing equipment and concept and people engaged on real-world functions, specially up to speed and chemical and mechanical engineering.
Contents: bankruptcy 1: DAEs, keep watch over, and Optimization; bankruptcy 2: Regularization of Linear and Nonlinear Descriptor platforms; bankruptcy three: Notes on Linearization of DAEs and on Optimization with Differential-Algebraic Constraints; bankruptcy four: Spectra and major instructions for Linear DAEs; bankruptcy five: StratiGraph device: Matrix Stratifications up to the mark purposes; bankruptcy 6: Descriptor process recommendations in fixing H2/Infinity-Optimal Fault Detection and Isolation difficulties; bankruptcy 7: basic varieties, High-Gain, and Funnel regulate for Linear Differential-Algebraic platforms; bankruptcy eight: Linear-Quadratic optimum regulate issues of swap issues and a Small Parameter; bankruptcy nine: Mixed-Integer DAE optimum regulate difficulties: invaluable stipulations and boundaries; bankruptcy 10: optimum keep an eye on of a hold up PDE; bankruptcy eleven: Direct Transcription with relocating Finite components; bankruptcy 12: fixing Parameter Estimation issues of SOCX; bankruptcy thirteen: keep an eye on of built-in Chemical approach platforms utilizing Underlying DAE types; bankruptcy 14: DMPC for construction Temperature law; bankruptcy 15: Dynamic Regularization, point Set form Optimization, and Computed Myography; bankruptcy sixteen: the applying of Pontryagin s minimal precept for Endpoint Optimization of Batch tactics
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Additional info for Control and optimization with differential-algebraic constraints
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