Dynamic Optimization of Path-Constrained Switched Systems

This book provides a comprehensive framework for dynamic optimization of path-constrained switched systems,using dynamic optimization and semi-infinite programming techniques. It offers novel methodologies to optimize system input,switch times,and switching sequences simultaneously,while ensuring feasibility of path constraints within finite iterations. The book covers both fixed switching sequence and free switching sequence cases and provides efficient algorithms for both scenarios. It is a valuable resource for researchers,graduate students,and engineers in control theory and control engineering,as well as those working in related fields such as robotics,chemical engineering,and industrial processes.

Format: Hardback
Length: 106 pages
Publication date: 08 February 2023
Publisher: Springer International Publishing AG

This book presents a comprehensive collection of theoretical results and numerical solution algorithms for dynamic optimization problems involving switched systems with infinite-dimensional inequality path constraints. The optimization of path-constrained switched systems poses significant challenges due to the intricate nature of seeking the optimal combination of system inputs, switch times, and switching sequences. At the same time, ensuring safety and guaranteeing product quality necessitates rigorous satisfaction of path constraints at an infinite number of time points within a finite number of iterations. To address these challenges, novel methodologies are introduced by leveraging dynamic optimization and semi-infinite programming techniques.

The key advantages of our proposed approaches lie in twofold: Firstly, we enable simultaneous optimization of the system input, switch times, and switching sequences. Secondly, our algorithms guarantee termination within finite iterations while providing feasibility certification for the path constraints.

In the first part of the book, we provide a brief survey on dynamic optimization of path-constrained systems and switched systems. For switched systems with a fixed switching sequence, we propose a two-level algorithm. At the inner level, the input is optimized, while at the outer level, the switch times are updated using the gradient information of the optimal value function calculated at the optimal input. This approach significantly reduces the number of nonlinear programs and computational burden.

In the second part of the book, we introduce an efficient single-level algorithm for dynamic optimization of path-constrained switched systems. By optimizing the input and switch times simultaneously, we significantly reduce the number of nonlinear programs and computational complexity. This approach provides a more streamlined and effective solution for optimizing path-constrained switched systems.

Furthermore, for switched systems with free switching sequences, we propose a solution framework for dynamic optimization of path-constrained switched systems. This framework employs the variant 2 of the semi-infinite programming technique, which allows for the efficient solution of large-scale optimization problems.

In conclusion, this book offers a valuable resource for researchers and practitioners in the field of dynamic optimization, particularly in the context of path-constrained switched systems. By presenting novel methodologies and solution frameworks, it contributes to the advancement of knowledge and enables the development of more efficient and effective optimization algorithms for real-world applications.

Weight: 348g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031234279
Edition number: 1st ed. 2023