L2-GAIN ANALYSIS OF NONLINEAR-SYSTEMS AND NONLINEAR STATE FEEDBACK-H-INFINITY CONTROL

被引：1072

作者：

VANDERSCHAFT, AJ

机构：

[1] Department of Applied Mathematics, University of Twente, Ensched

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 06期

关键词：

D O I：

10.1109/9.256331

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Previously obtained results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field. Based upon these results aa nonlinear analog is obtained of the simplest part of the recently developed state-space approach to linear H(infinity) control, namely the state feedback H(infinity) optimal control problem. Furthermore, the relation with H(infinity) control of the linearized system is dealt with.

引用

页码：770 / 784

页数：15

共 40 条

[1]

ABRAHAM R, 1978, F MECHANICS

[2] AN ALGEBRAIC SOLUTION TO SPECTRAL FACTORIZATION PROBLEM [J].

ANDERSON, BD .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (04) :410-&

[3]

[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]

[4]

BALL JA, 1988, 27TH P CDC AUST, P2376

[5]

BALL JA, 1989, 28TH P IEEE C DEC CO, P956

[6]

Basar T, 1982, DYNAMIC NONCOOPERATI

[7]

Brockett R. W., 1970, FINITE DIMENSIONAL L

[8]

BRUNOVSKY P, 1968, CZECH MATH J, V18, P278

[9] 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

[10]

Desoer CA., 1975, FEEDBACK SYSTEMS INP

← 1 2 3 4 →