Adaptive control of a class of quantised nonlinearly parameterised systems with unknown control directions

被引：6

作者：

Liu, Wenhui ^{[1
,2
]}

Lim, Cheng-Chew ^{[2
]}

Xu, Shengyuan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Dept Automat, Nanjing, Jiangsu, Peoples R China

[2] Univ Adelaide, Dept Elect & Elect Engn, Adelaide, SA, Australia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 05期

关键词：

Adaptive control; nonlinear systems; homogeneous domination approach; quantised control; unknown control directions; FINITE-TIME STABILIZATION; A-PRIORI KNOWLEDGE; UNCERTAIN SYSTEMS; FEEDBACK STABILIZATION; ROBUST-CONTROL; NETWORKS; DESIGN;

D O I：

10.1080/00207721.2016.1221482

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of adaptive control is studied for a class of nonlinearly parameterised systems with quantised input signal and unknown control directions. The homogeneous domination approach and the Nussbaum-type gain method are applied to design an adaptive state-feedback controller. A hysteretic type of quantiser is incorporated to reduce actuator chattering. The proposed controller can ensure that all signals of the nonlinear systemare globally bounded, and that the systemstate asymptotically converges to zero. Two numerical examples are presented to demonstrate the effectiveness and potential of the proposed techniques.

引用

页码：941 / 951

页数：11

共 34 条

[1] Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction [J].

Boulkroune, A. ;

Tadjine, M. ;

M'Saad, M. ;

Farza, M. .

FUZZY SETS AND SYSTEMS, 2010, 161 (06) :797-820

[2] Networks and control [J].

Bushnell, LG .

IEEE CONTROL SYSTEMS MAGAZINE, 2001, 21 (01) :22-23

[3] On p-normal forms of nonlinear systems [J].

Cheng, DZ ;

Lin, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (07) :1242-1248

[4] A Cholesky factorization based approach for blind FIR channel identification [J].

Choi, Jinho ;

Lim, Cheng-Chew .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (04) :1730-1735

[5] Stability of quantized time-delay nonlinear systems: a Lyapunov-Krasowskii-functional approach [J].

De Persis, Claudio ;

Mazenc, Frederic .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2010, 21 (04) :337-370

[6]

Fan YQ, 2015, INT J INNOV COMPUT I, V11, P803

[7] Global stabilisation for a class of more general high-order time-delay nonlinear systems by output feedback [J].

Gao, Fangzheng ;

Wu, Yuqiang .

INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (08) :1540-1553

[8] Adaptive quantized control for nonlinear uncertain systems [J].

Hayakawa, Tomohisa ;

Ishii, Hideaki ;

Tsumura, Koji .

SYSTEMS & CONTROL LETTERS, 2009, 58 (09) :625-632

[9] Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Time-Delay Systems With Unknown Control Direction [J].

Hua, Chang-Chun ;

Wang, Qing-Guo ;

Guan, Xin-Ping .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (02) :363-374

[10] Global finite-time stabilization of a class of uncertain nonlinear systems [J].

Huang, XQ ;

Lin, W ;

Yang, B .

AUTOMATICA, 2005, 41 (05) :881-888

← 1 2 3 4 →