Iterative Learning Control for Linear Discrete-Time Systems with Iteration-varying initial state and Packet Loss

被引：0

作者：

Zhu, Qiao ^{[1
]}

Yue, Jun-Zhou ^{[1
]}

Hu, Guang-Di ^{[1
]}

Xiong, Neng ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Mech Engn, Chengdu 610031, Sichuan, Peoples R China

来源：

PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年

关键词：

Iterative learning control; linear discrete-time system; iteration-varying initial states; packet loss; 2-D system theory; NETWORKED NONLINEAR-SYSTEMS; LYAPUNOV EQUATION; STABILITY; ILC;

D O I：

暂无

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 iterative learning control (ILC) design problem of linear discrete-time systems with iteration-varying initial state and packet loss. First, the iteration-varying initial state and the packet loss is introduced into the ILC process. In addition, the ILC design problem is transformed into a controller design problem of 2-D Roesser model. Next, the asymptotic stability of 2-D Roesser models under orthogonal initial states are investigated. Then, based on the 2-D asymptotic stability, a ILC algorithm is proposed to deal with the iteration-varying initial state and the packet loss. Finally, the effectiveness of the developed ILC algorithm is demonstrated by a simple example with various packet loss rate.

引用

页码：6592 / 6597

页数：6

共 21 条

[1] ON THE STABILITY OF TWO-DIMENSIONAL DISCRETE-SYSTEMS [J].

AHMED, ARE .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (03) :551-552

[2] STABILITY AND THE MATRIX LYAPUNOV EQUATION FOR DISCRETE TWO-DIMENSIONAL SYSTEMS [J].

ANDERSON, BDO ;

AGATHOKLIS, P ;

JURY, EI ;

MANSOUR, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (03) :261-267

[3] Lyapunov equation for the stability of 2-D systems [J].

Bliman, PA .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2002, 13 (02) :201-222

[4] An iterative learning control method for continuous-time systems based on 2-D system theory [J].

Chow, TWS ;

Fang, Y .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (06) :683-689

[5] H∞ control and robust stabilization of two-dimensional systems in Roesser models [J].

Du, CL ;

Xie, LH ;

Zhang, CS .

AUTOMATICA, 2001, 37 (02) :205-211

[6] 2-d analysis for iterative learning controller for discrete-time systems with variable initial conditions [J].

Fang, Y ;

Chow, TWS .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (05) :722-727

[7] INTERNAL STABILITY OF 2-DIMENSIONAL FILTERS [J].

FORNASINI, E ;

MARCHESINI, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (01) :129-130

[8]

Kaczorek T., 1985, 2 DIMENSIONAL LINEAR

[9] ITERATIVE LEARNING CONTROL SYNTHESIS BASED ON 2-D SYSTEM-THEORY [J].

KUREK, JE ;

ZAREMBA, MB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (01) :121-125

[10] INITIAL CONDITION PROBLEM OF LEARNING CONTROL [J].

LEE, KH ;

BIEN, Z .

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1991, 138 (06) :525-528

← 1 2 3 →