Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695886 | Automatica | 2013 | 8 Pages |
Abstract
In this paper, we consider the time-optimal control of a single-input, single-output second-order system with bounded input and describe a method for calculating the number of switches and the switching times to drive the system from any initial state to a target state in a particular class. A pair of affine mappings are derived that transform the original system into one where the switching curve becomes a collection of similar sections of a logarithmic spiral. In this coordinate system, the number of switches and the times of those switches are calculated and a feedback control law is synthesized.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Zhaolong Shen, Peng Huang, Sean B. Andersson,