High-gain adaptive lambda-tracking for nonlinear systems

被引：55

作者：

Allgower, F

Ashman, J

Ilchmann, A

机构：

[1] UNIV EXETER,DEPT MATH,EXETER EX4 4QE,DEVON,ENGLAND

[2] ETH ZURICH,INST AUTOMAT,CH-8092 ZURICH,SWITZERLAND

[3] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND

来源：

AUTOMATICA | 1997年 / 33卷 / 05期

关键词：

adaptive control; lambda-tracking; nonlinear systems; tracking; robustness; STABILIZATION; CONTROLLER;

D O I：

10.1016/S0005-1098(96)00226-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that a simple modification (introducing a dead zone in the adaptation law) of the known adaptive high-gain control strategy u(t)= -k(t)y(t), k(t)= parallel to y(t)parallel to(2) yields lambda-tracking in the presence of output corrupted noise for a large class of reference signals and a large class of multivariable nonlinear 'minimum-phase' systems of relative degree one. These results are applied to a realistic chemical reactor, showing the practical usefulness of these control laws. (C) 1997 Elsevier Science Ltd.

引用

页码：881 / 888

页数：8

共 21 条

[11] THE ORDER OF ANY STABILIZING REGULATOR IS SUFFICIENT A PRIORI INFORMATION FOR ADAPTIVE STABILIZATION [J].

MARTENSSON, B .

SYSTEMS & CONTROL LETTERS, 1985, 6 (02) :87-91

[12] AN ADAPTIVE CONTROLLER WHICH PROVIDES AN ARBITRARILY GOOD TRANSIENT AND STEADY-STATE RESPONSE [J].

MILLER, DE ;

DAVISON, EJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :68-81

[13]

MORSE AS, 1983, OUTILS MODELES MATH, P733

[14] SOME REMARKS ON A CONJECTURE IN PARAMETER ADAPTIVE-CONTROL [J].

NUSSBAUM, RD .

SYSTEMS & CONTROL LETTERS, 1983, 3 (05) :243-246

[15] UNIVERSAL STABILIZATION OF A CLASS OF NONLINEAR-SYSTEMS WITH HOMOGENEOUS VECTOR-FIELDS [J].

RYAN, EP .

SYSTEMS & CONTROL LETTERS, 1995, 26 (03) :177-184

[16]

SABERI A, 1990, PROCEEDINGS OF THE 29TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, P3417, DOI 10.1109/CDC.1990.203433

[17]

SABERI A, 1990, CONTR-THEOR ADV TECH, V6, P595

[18] DYNAMIC SIMULATION OF CATALYTIC REACTORS USING THE UCKRON-I TEST PROBLEMS AS THE KINETIC-MODEL [J].

TATRAI, FZ ;

VARGA, E ;

BENEDEK, P .

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1992, 31 (03) :868-876

[19]

WILLEMS JC, 1984, SPRINGER LECT NOTES, V62, P49

[20]

[No title captured]

← 1 2 3 →