m-Order Time Optimal Control Synthesis Function of Discrete System
Abstract
In this paper, first of all, we introduce the basic concepts of generating function in combinatorics and some combinatorial identities. In order to facilitate the understanding of m-order time optimal control synthesis function of discrete system (referred as m-order synthesis function), secondly, we introduce the derivation process and control ideas of 2nd-order synthesis function, and then deduce in detail the m-order synthesis function by means of generating function. By use of the m-order tracking-form synthesis function with filter factor, the methods of signal extraction and its predictive compensation are presented in this paper, and their immunity and effectiveness are verified by numerical simulation.
Keywords
Cite
@article{arxiv.1905.08096,
title = {m-Order Time Optimal Control Synthesis Function of Discrete System},
author = {Qianghui Xiao and Yang Zhang},
journal= {arXiv preprint arXiv:1905.08096},
year = {2022}
}
Comments
The paper is a part of another article arXiv:1806.03100