.png){kind=icon}
返回
State-Equivalent Form and Minimum-Order Compensator Design for Rectangular Descriptor Systems
.png){kind=icon}
PRE
AI
DOI：10.1109/TAC.2024.3355850.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This technical note studies the analysis and control problem of rectangular descriptor systems (RDSs). First, we present the state-equivalent form of RDSs using the left (right) inverse of a matrix and demonstrate its equivalence to the original system in terms of admissibility. Subsequently, we introduce a minimum-order compensator (MOC) and establish a series of rank criteria for its application. The MOC is utilized to ensure that the closed-loop system is generalized regular, impulse-free, and admissible. In addition, we provide a necessary and sufficient condition in the form of bilinear matrix inequalities for designing the MOC, along with an iterative algorithm for computing the gains. Finally, the effectiveness of our methods are demonstrated through two numerical examples and a circuit example.
Keyword:
Matrix decomposition
Linear matrix inequalities
Controllability
Closed loop systems
Symmetric matrices
Complexity theory
Trajectory
Admissible
minimum-order compensator (MOC)
rectangular descriptor systems (RDSs)
state-equivalent form
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
机构
引用论文
.png){kind=icon}
Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations
PREAI
分享收藏
查看更多内容