Asymptotic regulation of minimum phase nonlinear systems using output feedback

被引:92
作者
Mahmoud, NA [1 ]
Khalil, HK [1 ]
机构
[1] MICHIGAN STATE UNIV,DEPT ELECT ENGN,E LANSING,MI 48824
基金
美国国家科学基金会;
关键词
D O I
10.1109/9.539423
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 a single-input/single-output (SISO) nonlinear system which has a well-defined normal form with asymptotically stable zero dynamics, We allow the system's equation to depend on constant uncertain parameters and disturbance inputs which do not change the relative degree, Our goal is to design an output feedback controller which regulates the output to a constant reference, The integral of the regulation error is augmented to the system equation, and a robust output feedback controller is designed to bring the state of the closed-loop system to a positively invariant set, Once inside this set, the trajectories approach a unique equilibrium point at which the regulation error is zero, We give regional as well as semiglobal results.
引用
收藏
页码:1402 / 1412
页数:11
相关论文
共 37 条
[1]  
[Anonymous], 2013, Nonlinear control systems
[2]   A NEW CLASS OF STABILIZING CONTROLLERS FOR UNCERTAIN DYNAMICAL-SYSTEMS [J].
BARMISH, BR ;
CORLESS, M ;
LEITMANN, G .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1983, 21 (02) :246-255
[3]   ASYMPTOTIC STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (10) :1122-1137
[4]   CONTINUOUS STATE FEEDBACK GUARANTEEING UNIFORM ULTIMATE BOUNDEDNESS FOR UNCERTAIN DYNAMIC-SYSTEMS [J].
CORLESS, MJ ;
LEITMANN, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (05) :1139-1144
[5]   ROBUST CONTROL OF A SERVOMECHANISM PROBLEM FOR LINEAR TIME-INVARIANT MULTIVARIABLE SYSTEMS [J].
DAVISON, EJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (01) :25-34
[6]   THE DESIGN OF CONTROLLERS FOR THE MULTIVARIABLE ROBUST SERVOMECHANISM PROBLEM USING PARAMETER OPTIMIZATION METHODS [J].
DAVISON, EJ ;
FERGUSON, IJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (01) :93-100
[7]   VARIABLE STRUCTURE CONTROL OF NONLINEAR MULTIVARIABLE SYSTEMS - A TUTORIAL [J].
DECARLO, RA ;
ZAK, SH ;
MATTHEWS, GP .
PROCEEDINGS OF THE IEEE, 1988, 76 (03) :212-232
[8]  
DEOSER CA, 1979, INT J CONTROL, V29, P803
[9]  
Desoer C. A., 1980, Control and Dynamic Systems, V16, P81
[10]   TRACKING AND DISTURBANCE REJECTION OF MIMO NONLINEAR-SYSTEMS WITH PI CONTROLLER [J].
DESOER, CA ;
LIN, CA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (09) :861-867