Dissipativity and stabilization of nonlinear repetitive processes

被引：39

作者：

Pakshin, Pavel ^{[1
,2
]}

Emelianova, Julia ^{[1
]}

Emelianov, Mikhail ^{[1
]}

Galkowski, Krzysztof ^{[3
]}

Rogers, Eric ^{[4
]}

机构：

[1] RE Alekseev Nizhny Novgorod State Tech Univ, Arzamas Polytech Inst, 19 Kalinina St, Arzamas 607227, Russia

[2] Lobachevsky State Univ Nizhny Novgorod, Prospekt Gagarina 23, Nizhnii Novgorod 603950, Russia

[3] Univ Zielona Gora, Inst Control & Computat Engn, Ul Podgorna 50, PL-65246 Zielona Gora, Poland

[4] Univ Southampton, Dept Elect & Comp Sci, Southampton SO17 1BJ, Hants, England

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 91卷

基金：

俄罗斯基础研究基金会; 俄罗斯科学基金会;

关键词：

Nonlinear repetitive processes; Stability; Dissipativity; Passivity; H-infinity disturbance attenuation; PASSIVITY; STABILITY;

D O I：

10.1016/j.sysconle.2016.01.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Repetitive processes are characterized by repeated executions of a task defined over a finite duration with resetting after each execution is complete. Also the output from any execution directly influences the output produced on the next execution. The repetitive process model structure arises in the modeling of physical processes and can also be used to effect in the control of other systems, the design of iterative learning control laws where experimental verification of designs has been reported. The existing systems theory for them is, in the main, linear model based. This paper considers nonlinear repetitive processes using a dissipative setting and develops a stabilizing control law with the required conditions expressed in terms of vector storage functions. This design is then extended to stabilization plus disturbance attenuation. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：14 / 20

页数：7

共 16 条

[1] Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics [J].

Azevedo-Perdicoulis, T. -P. ;

Jank, G. .

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2012, 23 (1-2) :131-153

[2] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A ;

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240

[3]

EMELIANOVA J, 2014, IFAC PAPERSONLINE, V47, P8247, DOI [DOI 10.3182/20140824-6-ZA-1003.00729, 10.3182/20140824-6-ZA-1003.00729]

[4] Stability of nonlinear discrete repetitive processes with Markovian switching [J].

Emelianova, Julia ;

Pakshin, Pavel ;

Galkowski, Krzysztof ;

Rogers, Eric .

SYSTEMS & CONTROL LETTERS, 2015, 75 :108-116

[5] Exponential feedback passivity and stabilizability of nonlinear systems [J].

Fradkov, AL ;

Hill, DJ .

AUTOMATICA, 1998, 34 (06) :697-703

[6]

Haddad W., 2001, ADV DIFFER EQU-NY, V1, P37

[7] Vector dissipativity theory and stability of feedback interconnections for large-scale non-linear dynamical systems [J].

Haddad, WM ;

Chellaboina, V ;

Nersesov, SG .

INTERNATIONAL JOURNAL OF CONTROL, 2004, 77 (10) :907-919

[8] REPETITIVE CONTROL-SYSTEM - A NEW TYPE SERVO SYSTEM FOR PERIODIC EXOGENOUS SIGNALS [J].

HARA, S ;

YAMAMOTO, Y ;

OMATA, T ;

NAKANO, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (07) :659-668

[9] Experimentally supported 2D systems based iterative learning control law design for error convergence and performance [J].

Hladowski, Lukasz ;

Galkowski, Krzysztof ;

Cai, Zhonglun ;

Rogers, Eric ;

Freeman, Chris T. ;

Lewin, Paul L. .

CONTROL ENGINEERING PRACTICE, 2010, 18 (04) :339-348

[10]

Khalil H., 2014, Control of Nonlinear Systems

← 1 2 →