Positive Stabilization for a Class of Separable Positive Nonlinear Systems

被引：0
|
作者：
Shafai, Bahram [1 ]
Moradmand, Anahita [2 ]
机构：
[1] Northeastern Univ, Elect & Comp Engn, Biomed Engn, Boston, MA 02115 USA
[2] Northeastern Univ, Dept Elect & Comp Engn, Boston, MA 02115 USA
来源：
2021 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC) | 2021年
关键词：
ROBUST STABILIZATION; LINEAR-SYSTEMS; STABILITY;
D O I：
10.1109/ANZCC53563.2021.9628277
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 problem of positive stabilization for a special class of nonlinear system consisting of a linear part and an additive nonlinearity. The positive nonlinear system is defined in terms of a Metzler matrix associated with the linear part and the nonlinearity is assumed to satisfy the quadratic inequality. First, we provide preliminary results on positive stability for linear systems and generalize it for the special class of separable positive nonlinear systems. Then robust stability is formulated in terms of LMI. Finally, positive stabilization with state feedback is analyzed and a design procedure is outlined which can also be performed through its associated LMI.
引用
收藏
页码：62 / 67
页数：6
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