Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems

被引：21
作者：
Faria, Flavio A. [1 ]
Assuncao, Edvaldo [1 ]
Teixeira, Marcelo C. M. [1 ]
Cardim, Rodrigo [1 ]
机构：
[1] Sao Paulo State Univ, Dept Elect Engn, Fac Engn Ilha Solteira, BR-15385000 Ilha Solteira, SP, Brazil
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷
基金：
巴西圣保罗研究基金会;
关键词：
VIBRATION CONTROL; POLE-PLACEMENT; FAULT-DETECTION; STABILIZATION; OPTIMIZATION;
D O I：
10.1155/2010/927362
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities (LMIs) and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a class of uncertain systems subject to structural failures. These designs consider a broader class of plants than the related results available in the literature. The LMI can be efficiently solved using convex programming techniques. Numerical examples illustrate the efficiency of the proposed methods.
引用
收藏
页数：15
相关论文
共 41 条
[11]  
Cardim Rodrigo, 2008, Systems, Structure and Control, P1
[12]   Variable-Structure Control Design of Switched Systems With an Application to a DC-DC Power Converter [J].
Cardim, Rodrigo ;
Teixeira, Marcelo C. M. ;
Assuncao, Edvaldo ;
Covacic, Marcio Roberto .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (09) :3505-3513
[13]   Stability and stabilization of continuous descriptor systems: An LMI approach [J].
Chaabane, M. ;
Bachelier, O. ;
Souissi, M. ;
Mehdi, D. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2006, 2006
[14]  
DEOLIVEIRA MC, 1997, LMISOL USERS GUIDE
[15]  
Duan GR, 2003, ASIAN J CONTROL, V5, P334, DOI 10.1111/j.1934-6093.2003.tb00125.x
[16]  
DUAN GR, 1999, P AM CONTR C ACC 99, V2, P1304
[17]   State-derivative feedback control of cable vibration using semiactive magnetorheological dampers [J].
Duan, YF ;
Ni, YQ ;
Ko, JM .
COMPUTER-AIDED CIVIL AND INFRASTRUCTURE ENGINEERING, 2005, 20 (06) :431-449
[18]  
El Ghaoui L., 2000, Advances in Linear Matrix Inequality Methods in Control
[19]   Robust state-derivative pole placement LMI-based designs for linear systems [J].
Faria, F. A. ;
Assuncao, E. ;
Teixeira, M. C. M. ;
Cardim, R. ;
da Silva, N. A. P. .
INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (01) :1-12
[20]   H∞-control of linear state-delay descriptor systems:: an LMI approach [J].
Fridman, E ;
Shaked, U .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :271-302
12345