Decentralized Stochastic Guaranteed Cost Control for Uncertain Nonlinear Large-scale Interconnected Systems under Gain Perturbations

被引:4
作者
Mukaidani, Hiroaki [1 ]
机构
[1] Hiroshima Univ, Grad Sch Educ, Higashihiroshima 7398524, Japan
来源
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词
D O I
10.1109/ACC.2009.5159815
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 is concerned with the decentralized stochastic guaranteed cost control(GCC) for a class of uncertain nonlinear large-scale interconnected systems with control gain perturbations. First, the definition of the GCC problem with the deterministic and stochastic uncertainties is given. Second, a more practical model of actuator failures than outage is adopted. Based on the linear matrix inequality (LMI) approach, a method for designing reliable decentralized state feedback controllers is presented. Using the resulting control systems, asymptotically mean square stable (EMSS) is guaranteed and an adequate performance bound against high-order nonlinearity, plant uncertainty and actuator failures is attained. Finally, in order to show the effectiveness of the proposed design method, the simulation result is demonstrated.
引用
收藏
页码:5097 / 5102
页数:6
相关论文
共 15 条
[1]  
Afanasev VN, 1996, Mathematical theory of control systems design
[2]   On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment [J].
Carletti, M .
MATHEMATICAL BIOSCIENCES, 2002, 175 (02) :117-131
[3]   Stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].
Deng, H. ;
Krstić, M. ;
Williams, R.J. .
1600, Institute of Electrical and Electronics Engineers Inc. (46)
[4]   OPTIMAL STABILIZING COMPENSATOR FOR LINEAR-SYSTEMS WITH STATE-DEPENDENT NOISE [J].
DRAGAN, V ;
MOROZAN, T ;
HALANAY, A .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1992, 10 (05) :557-572
[5]  
Khalil H. K., 2002, Nonlinear systems, V3
[6]   An LMI approach to decentralized guaranteed cost control for a class of uncertain nonlinear large-scale delay systems [J].
Mukaidani, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 300 (01) :17-29
[7]  
Petersen I. R., 2000, COMM CONT E
[8]   OPTIMAL GUARANTEED COST CONTROL AND FILTERING FOR UNCERTAIN LINEAR-SYSTEMS [J].
PETERSEN, IR ;
MCFARLANE, DC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (09) :1971-1977
[9]   Decentralised reliable guaranteed cost control of uncertain systems: an LMI design [J].
Pujol, G. ;
Rodellar, J. ;
Rossell, J. M. ;
Pozo, F. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03) :779-785
[10]   Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls [J].
Rami, MA ;
Zhou, XY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1131-1143