Optimization and Control of Dynamic Systems
Foundations, Main Developments, Examples and Challenges
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Beschreibung
This book offers a comprehensive presentation of optimization and polyoptimization methods. The examples included are taken from various domains: mechanics, electrical engineering, economy, informatics, and automatic control, making the book especially attractive. With the motto “from general abstraction to practical examples,” it presents the theory and applications of optimization step by step, from the function of one variable and functions of many variables with constraints, to infinite dimensional problems (calculus of variations), a continuation of which are optimization methods of dynamical systems, that is, dynamic programming and the maximum principle, and finishing with polyoptimization methods. It includes numerous practical examples, e.g., optimization of hierarchical systems, optimization of time-delay systems, rocket stabilization modeled by balancing a stick on a finger, a simplified version of the journey to the moon, optimization of hybrid systems and of the electrical long transmission line, analytical determination of extremal errors in dynamical systems of the rth order, multicriteria optimization with safety margins (the skeleton method), and ending with a dynamic model of bicycle.
The book is aimed at readers who wish to study modern optimization methods, from problem formulation and proofs to practical applications illustrated by inspiring concrete examples.
Provides a comprehensive presentation of the very essence, characteristic features, and development of optimization methods
Presents polyoptimization – optimization with a vector-valued objective function of several variables
Features complemented relevant properties, a number of algorithmic considerations, illustrations, and abundant examples and challenges
Provides a comprehensive presentation of the very essence, characteristic features, and development of optimization methods Presents polyoptimization – optimization with a vector-valued objective function of several variables Features complemented relevant properties, a number of algorithmic considerations, illustrations, and abundant examples and challenges Includes supplementary material: sn.pub/extras
Autor*in
Henryk Górecki
Themen in »Optimization and Control of Dynamic Systems«
Vector Optimization Control Challenges of Dynamic Systems Foundations of Dynamic Systems Polyoptimization Control Systems complexity