On Weak Topology for Optimal Control of Switched Nonlinear Systems

Hua Chen; Wei Zhang

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arXiv · 1409.6000

On Weak Topology for Optimal Control of Switched Nonlinear Systems

Hua Chen·Wei Zhang

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Abstract

Optimal control of switched systems is challenging due to the discrete nature of the switching control input. The embedding-based approach addresses this challenge by solving a corresponding relaxed optimal control problem with only continuous inputs, and then projecting the relaxed solution back to obtain the optimal switching solution of the original problem. This paper presents a novel idea that views the embedding-based approach as a change of topology over the optimization space, resulting in a general procedure to construct a switched optimal control algorithm with guaranteed convergence to a local optimizer. Our result provides a unified topology based framework for the analysis and design of various embedding-based algorithms in solving the switched optimal control problem and includes many existing methods as special cases.

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BibTeX RIS

Hua Chen, Wei Zhang. 2014-09-21. On Weak Topology for Optimal Control of Switched Nonlinear Systems. https://arxiv.org/abs/1409.6000

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