Logarithmic Lyapunov functions for direct adaptive stabilization with normalized adaptive laws

被引：26

作者：

Akhtar, S

Venugopal, R

Bernstein, DS ^{[1
]}

机构：

[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

[2] Sysendes Inc, Montreal, PQ H3H 1N4, Canada

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2004年 / 77卷 / 07期

关键词：

D O I：

10.1080/00207170410001699021

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 discrete-time and continuous-time adaptive stabilization under full-state feedback control is considered. In the discrete-time case the main result is based on a gain update law involving a step-size function. The formulation generalizes and unifies prior results based on quadratic and logarithmic Lyapunov functions. In the continuous-time case adaptive stabilization under full-state feedback using a normalized gradient algorithm is considered and Lyapunov stability is demonstrated.

引用

页码：630 / 638

页数：9

共 15 条

[1] Goodwin G C., 1984, ADAPTIVE FILTERING P
[2] DISCRETE-TIME MULTIVARIABLE ADAPTIVE-CONTROL
GOODWIN, GC
RAMADGE, PJ
CAINES, PE
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (03) : 449 - 456
[3] Haddad WM, 2002, P AMER CONTR CONF, V1-6, P1773, DOI 10.1109/ACC.2002.1023823
[4] Adaptive stabilization of non-linear oscillators using direct adaptive control
Hong, JH
Bernstein, DS
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (05) : 432 - 444
[5] Ioannou PA., 1996, ROBUST ADAPTIVE CONT, V1
[6] JOHANSSON R, 1995, CONTR-THEOR ADV TECH, V10, P993
[7] GLOBAL LYAPUNOV STABILITY AND EXPONENTIAL CONVERGENCE OF DIRECT ADAPTIVE-CONTROL
JOHANSSON, R
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (03) : 859 - 869
[8] DISCRETE-TIME ADAPTIVE NONLINEAR-SYSTEM
KANELLAKOPOULOS, I
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (11) : 2362 - 2365
[9] Khalil HK., 1992, NONLINEAR SYSTEMS
[10] STABLE DISCRETE ADAPTIVE-CONTROL
NARENDRA, KS
LIN, YH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (03) : 456 - 461

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