Pole placement with LMI constraint of fuzzy descriptor system

2015 ◽  
Vol 352 (7) ◽  
pp. 2665-2678 ◽  
Author(s):  
Renquan Lu ◽  
Meng Wang ◽  
Jianjun Bai ◽  
Anke Xue ◽  
Hongbo Zou
Keyword(s):  
Pole Placement ◽  
Descriptor System

scholarly journals Fuzzy Descriptor System Modeling and Control of Lagrange Dynamics with Regional Pole-Placement Constraint

2004 ◽  
Vol 8 (4) ◽  
pp. 362-368
Author(s):  
Jin-Shig Kang ◽  
Keyword(s):  
Controller Design ◽  
System Modeling ◽  
Fuzzy Model ◽  
Pole Placement ◽  
Descriptor System ◽  
Linear Matrix ◽  
Simple Extension ◽  
Design Algorithm ◽  
Modeling And Control ◽  
Regional Pole Placement

We present a descriptor fuzzy model for Lagrange dynamics and a controller design algorithm based on state feedback pole placement. The fuzzy descriptor system (FDS) model is a simple extension of the original Takagi-Sugeno fuzzy model for which a new controller is designed based on the linear matrix inequality (LMI) theory. We show that LMI-based regional pole-placement design for the FDS is easily solved. Two examples explain the controller’s simplicity and easy design.

Iterative criterion of the descriptor system asymptotic steadiness

2020 ◽  
Keyword(s):  
Iterative Algorithm ◽  
Search Algorithm ◽  
Descriptor System ◽  
Matrix Sign Function ◽  
Sign Function ◽  
Generalized Matrix ◽  
Criterion Matrix

An iterative criterion for the asymptotic steadiness of a linear descriptor system is considered. The criterion is based on an iterative algorithm for computing a generalized matrix sign-function. As an example, the problem of analyzing the asymptotic steadiness of a large descriptor system is given. Keywords linear descriptor system; steadiness criterion; matrix sign-function; search algorithm

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