Scalable Control Design for K-positive Linear Systems

被引：1

作者：

Kawano, Yu ^{[1
]}

Forni, Fulvio ^{[2
]}

机构：

[1] Hiroshima Univ, Grad Sch Engn, Kagamiyama 1-4-1, Higashihiroshima 7398527, Japan

[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England

来源：

IFAC PAPERSONLINE | 2021年 / 54卷 / 09期

关键词：

positivity; controller design; scalability; linear programming;

D O I：

10.1016/j.ifacol.2021.06.065

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Systems whose state is constrained to be positive allow for computationally efficient control design. These systems guarantee forward invariance of the positive orthant, which simplifies the design of stabilizing controllers. In this paper we show that this property can be extended to a wider class of systems. We study systems that guarantee forward invariance of a generic pointed, convex, solid cone and we provide (scalable) conditions for their stability and dissipativity based on linear programming. Our results are illustrated by scalable stabilizing controller design for mass-spring systems. Copyright (C) 2021 The Authors.

引用

页码：84 / 89

页数：6

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