On Weak Topology for Optimal Control of Switched Nonlinear Systems
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.
Keywords
Cite
@article{arxiv.1409.6000,
title = {On Weak Topology for Optimal Control of Switched Nonlinear Systems},
author = {Hua Chen and Wei Zhang},
journal= {arXiv preprint arXiv:1409.6000},
year = {2015}
}