Control and Optimization with Differential–Algebraic Constraints

A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.

Lorenz T. Biegler (Author), Stephen L. Campbell (Author), Volker Mehrmann (Author)

9781611972245

Paperback / softback, published 30 September 2012

355 pages
22.9 x 15.2 x 2 cm, 0.635 kg

Differential-algebraic equations (DAEs) are the most natural way to mathematically model many complex systems in science and engineering. This book provides a guide to the theory and practice of modelling with DAEs. In particular, the reader will learn to maximise the performance of their models by optimising the design parameters. Presented within are cutting-edge theory and state-of-the-art numerical methods for the optimal control of differential-algebraic equations, alongside real-world applications of the results. This accessible treatment of the subject, written by leading experts, is suitable for applied mathematicians, engineers and computational scientists from a variety of disciplines. It will be of interest to those developing theory and those working on real-world applications, especially in the optimal control of problems in chemical and mechanical engineering.

1. DAEs, control, and optimization
2. Regularization of linear and nonlinear descriptor systems
3. Notes on linearization of DAEs and on optimization with differential-algebraic constraints
4. Spectra and leading directions for linear DAEs
5. StratiGraph tool: matrix stratifications in control applications
6. Descriptor system techniques in solving H ₂/-optimal fault detection and isolation problems
7. Normal forms, high-gain, and funnel control for linear differential-algebraic systems
8. Linear-quadratic optimal control problems with switch points and a small parameter
9. Mixed-integer DAE optimal control problems: necessary conditions and bounds
10. Optimal control of a delay PDE
11. Direct transcription with moving finite elements
12. Solving parameter estimation problems with SOCX
13. Control of integrated chemical process systems using underlying DAE models
14. DMPC for building temperature regulation
15. Dynamic regularization, level set shape optimization, and computed myography
16. The application of Pontryagin's minimum principle for endpoint optimization of batch processes.

Subject Areas: Miscellaneous items [WZ]