Fu Dynamic Optimization of Path-Constrained Switched Systems 9783031234279

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Автор: Fu (Фу)
Название: Dynamic Optimization of Path-Constrained Switched Systems
Перевод названия: Фу: Динамическая оптимизация коммутируемых систем с ограничением пути
ISBN: 9783031234279
Издательство: Springer
Классификация:

Кибернетика и теория систем

Математика для инженеров

Искусственный интеллект

ISBN-10: 3031234278
Обложка/Формат: Hardback
Страницы: 106
Вес: 0.35 кг.
Дата издания: 22.02.2023
Серия: Studies in systems, decision and control
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 25 illustrations, color; 3 illustrations, black and white; viii, 106 p. 28 illus., 25 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides a series of systematic theoretical results and numerical solution algorithms for dynamic optimization problems of switched systems within infinite-dimensional inequality path constraints. Dynamic optimization of path-constrained switched systems is a challenging task due to the complexity from seeking the best combinatorial optimization among the system input, switch times and switching sequences. Meanwhile, to ensure safety and guarantee product quality, path constraints are required to be rigorously satisfied (i.e., at an infinite number of time points) within a finite number of iterations. Several novel methodologies are presented by using dynamic optimization and semi-infinite programming techniques. The core advantages of our new approaches lie in two folds: i) The system input, switch times and the switching sequence can be optimized simultaneously. ii) The proposed algorithms terminate within finite iterations while coming with a certification of feasibility for the path constraints. In this book, first, we provide brief surveys on dynamic optimization of path-constrained systems and switched systems. For switched systems with a fixed switching sequence, we propose a bi-level algorithm, in which the input is optimized at the inner level, and the switch times are updated at the outer level by using the gradient information of the optimal value function calculated at the optimal input. We then propose an efficient single-level algorithm by optimizing the input and switch times simultaneously, which greatly reduces the number of nonlinear programs and the computational burden. For switched systems with free switching sequences, we propose a solution framework for dynamic optimization of path-constrained switched systems by employing the variant 2 of generalized Benders decomposition technique. In this framework, we adopt two different system formulations in the primal and master problem construction and explicitly characterize the switching sequences by introducing a binary variable. Finally, we propose a multi-objective dynamic optimization algorithm for locating approximated local Pareto solutions and quantitatively analyze the approximation optimality of the obtained solutions. This book provides a unified framework of dynamic optimization of path-constrained switched systems. It can therefore serve as a useful book for researchers and graduate students who are interested in knowing the state of the art of dynamic optimization of switched systems, as well as recent advances in path-constrained optimization problems. It is a useful source of up-to-date optimization methods and algorithms for researchers who study switched systems and graduate students of control theory and control engineering. In addition, it is also a useful source for engineers who work in the control and optimization fields such as robotics, chemical engineering and industrial processes.
Дополнительное описание: Introduction.- Bi-level dynamic optimization of path-constrained switched systems.- Single-level dynamic optimization of path-constrained switched systems.- Dynamic optimization of switched systems with free switching sequences.- Multi-objective dynamic o

Dynamic Optimization of Path-Constrained Switched Systems, Fu