Robust nonlinear control of feedforward systems with unmodeled dynamics

被引:75
作者
Arcak, M [1 ]
Teel, A [1 ]
Kokotovic, P [1 ]
机构
[1] Univ Calif Santa Barbara, Ctr Control Engn & Computat, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
nonlinear control; unmodeled dynamics; robust stability;
D O I
10.1016/S0005-1098(00)00138-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider nonlinear systems in feedforward form and redesign-nested saturation control laws to guarantee global asymptotic stability in the presence of unmodeled dynamics appearing at the system input. Unlike most previous results, this redesign is applicable to a large class of unmodeled dynamics, including actuators that change the relative degree of the system. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:265 / 272
页数:8
相关论文
共 12 条
[1]   Constructive Lyapunov stabilization of nonlinear cascade systems [J].
Jankovic, M ;
Sepulchre, R ;
Kokotovic, PV .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (12) :1723-1735
[2]   A small-gain control method for nonlinear cascaded systems with dynamic uncertainties [J].
Jiang, ZP ;
Mareels, IMY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (03) :292-308
[3]   SMALL-GAIN THEOREM FOR ISS SYSTEMS AND APPLICATIONS [J].
JIANG, ZP ;
TEEL, AR ;
PRALY, L .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (02) :95-120
[4]   Robust control of nonlinear systems with input unmodeled dynamics [J].
Krstic, M ;
Sun, J ;
Kokotovic, PV .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (06) :913-920
[5]   Adding integrations, saturated controls, and stabilization for feedforward systems [J].
Mazenc, F ;
Praly, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (11) :1559-1578
[6]   Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability [J].
Praly, L ;
Wang, Y .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1996, 9 (01) :1-33
[7]  
Praly L, 1998, IEEE DECIS CONTR P, P891, DOI 10.1109/CDC.1998.760806
[8]  
Sepulchre R., 1997, Constructive Nonlinear Control
[9]   SMOOTH STABILIZATION IMPLIES COPRIME FACTORIZATION [J].
SONTAG, ED .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) :435-443
[10]   A nonlinear small gain theorem for the analysis of control systems with saturation [J].
Teel, AR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (09) :1256-1270