Robust optimal control of switched autonomous systems

被引：8

作者：

Liu, Jinjin ^{[1
]}

Zhang, Kanjian ^{[1
]}

Sun, Changyin ^{[1
]}

Wei, Haikun ^{[1
]}

机构：

[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2016年 / 33卷 / 02期

基金：

中国国家自然科学基金;

关键词：

switched systems; robust optimal control; integral averaging technique; perturbation; STABILITY ANALYSIS; STABILIZABILITY; OPTIMIZATION; MINIMIZATION;

D O I：

10.1093/imamci/dnu032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the robustness issue on switching time of switched systems, in which each switching point has perturbation for a small variation. Our goal is to find optimal switching instants such that the system's performance being resistant against perturbations. By using the integral averaging technique and combining with optimal control theory, the derivatives of the cost function with respect to the original switching times are derived. We focus on the fixed switching mode sequences and use a gradient-descent algorithm to find the optimal switching instants. The efficacy of the proposed method is illustrated via numerical examples.

引用

页码：173 / 189

页数：17

共 30 条

[1]

Alamir M., 2004, Proceedings of 6th IFAC Symposium on Nonlinear Control Systems, P558

[2] MINIMIZATION OF FUNCTIONS HAVING LIPSCHITZ CONTINUOUS FIRST PARTIAL DERIVATIVES [J].