NONLINEAR H-INFINITY ALMOST DISTURBANCE DECOUPLING

被引:117
作者
MARINO, R
RESPONDEK, W
VANDERSCHAFT, AJ
TOMEI, P
机构
[1] UNIV ROMA TOR VERGATA,DIPARTIMENTO INGN ELETTR,ROME,ITALY
[2] POLISH ACAD SCI,INST MATH,WARSAW 42,POLAND
[3] UNIV TWENTE,DEPT APPL MATH,ENSCHEDE,NETHERLANDS
[4] UNIV PERUGIA,IST ELETTR,I-06100 PERUGIA,ITALY
关键词
DISTURBANCE DECOUPLING; L2-GAIN; HIGH-GAIN; LYAPUNOV FUNCTIONS; H-INFINITY CONTROL;
D O I
10.1016/0167-6911(94)90001-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The L2-gain almost disturbance decoupling problem for SISO nonlinear systems is formulated. Sufficient conditions are identified for the existence of a parametrized state feedback controller such that the L2-gain from disturbances to output can be made arbitrarily small by increasing its gain. The controller is explicitly constructed using a Lyapunov-based recursive scheme. Sufficient conditions for the solvability of the H(infinity) almost disturbance decoupling problem and the explicit construction of the controller are given for a more restrictive class of nonlinear systems.
引用
收藏
页码:159 / 168
页数:10
相关论文
共 21 条
[1]   H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK [J].
BALL, JA ;
HELTON, JW ;
WALKER, ML .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) :546-559
[2]   NEW RESULTS AND EXAMPLES IN NONLINEAR FEEDBACK STABILIZATION [J].
BYRNES, CI ;
ISIDORI, A .
SYSTEMS & CONTROL LETTERS, 1989, 12 (05) :437-442
[3]  
BYRNES CI, 1985, 24TH P CDC FT LAUD, P1031
[4]   DISTURBANCE ATTENUATION AND H-INFINITY-CONTROL VIA MEASUREMENT FEEDBACK IN NONLINEAR-SYSTEMS [J].
ISIDORI, A ;
ASTOLFI, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) :1283-1293
[5]  
Isidori A., 1989, NONLINEAR CONTROL SY
[6]   SYSTEMATIC DESIGN OF ADAPTIVE CONTROLLERS FOR FEEDBACK LINEARIZABLE SYSTEMS [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1241-1253
[7]   A POSITIVE REAL CONDITION FOR GLOBAL STABILIZATION OF NONLINEAR-SYSTEMS [J].
KOKOTOVIC, PV ;
SUSSMANN, HJ .
SYSTEMS & CONTROL LETTERS, 1989, 13 (02) :125-133
[8]  
Krasovskii NN, 1963, STABILITY MOTION
[9]   ALMOST DISTURBANCE DECOUPLING FOR SINGLE-INPUT SINGLE-OUTPUT NONLINEAR-SYSTEMS [J].
MARINO, R ;
RESPONDEK, W ;
VANDERSCHAFT, AJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (09) :1013-1017
[10]   DIRECT APPROACH TO ALMOST DISTURBANCE AND ALMOST INPUT OUTPUT DECOUPLING [J].
MARINO, R ;
RESPONDEK, W ;
VANDERSCHAFT, AJ .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (01) :353-383