On Reliable Stabilization via Rectangular Dilated LMIs and Dissipativity-Based Certifications

被引:9
作者
Befekadu, Getachew K. [1 ]
Gupta, Vijay [1 ]
Antsaklis, Panos J. [1 ]
机构
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
基金
美国国家科学基金会;
关键词
Dilated LMI; dissipativity; multi-channel system; reliable control; stabilization; DECENTRALIZED STABILIZATION; DESIGN;
D O I
10.1109/TAC.2012.2211443
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this short note, we consider the problem of reliable stabilization for multi-channel systems, where our main objective is to maintain the robust stability of the perturbed closed-loop system when there is a single controller failure in any of the control channels. Specifically, we present a less-conservative result than results in the literature in terms of a set of dilated LMIs for the reliable state-feedback stabilization of the nominal system, while a dissipativity-based certification is used to extend the stability condition when there is an additive model perturbation in the system. Finally, a numerical example is presented to illustrate the applicability of the proposed technique.
引用
收藏
页码:792 / 796
页数:5
相关论文
共 26 条
[1]  
[Anonymous], P AM CONTR C MINN MN
[2]   Robust dissipativity of interval uncertain linear systems [J].
Barb, FD ;
Ben-Tal, A ;
Nemirovski, A .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 41 (06) :1661-1695
[3]  
Befekadu Getachew K., 2011, 2011 19th Mediterranean Conference on Control & Automation (MED 2011), P25
[4]   Robust solutions of uncertain quadratic and conic-quadratic problems [J].
Ben-Tal, A ;
Nemirovski, A ;
Roos, C .
SIAM JOURNAL ON OPTIMIZATION, 2002, 13 (02) :535-560
[5]   NP-hardness of some linear control design problems [J].
Blondel, V ;
Tsitsiklis, JN .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (06) :2118-2127
[6]  
Davy J.L., 1972, B AUST MATH SOC, P379, DOI 10.1017/S0004972700044646
[7]   A new discrete-time robust stability conditions [J].
de Oliveira, MC ;
Bernussou, J ;
Geromel, JC .
SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :261-265
[8]   Reliable decentralised stabilisation of multi-channel systems: a design method via dilated LMIs and unknown disturbance observers [J].
Fujisaki, Yasumasa ;
Befekadu, Getachew K. .
INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (11) :2040-2050
[9]   THE ELLIPSOID METHOD AND ITS CONSEQUENCES IN COMBINATORIAL OPTIMIZATION [J].
GROTSCHEL, M ;
LOVASZ, L ;
SCHRIJVER, A .
COMBINATORICA, 1981, 1 (02) :169-197
[10]   Reliable decentralized stabilization of linear systems [J].
Gündes, AN .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (12) :1733-1739