ADAPTIVE-CONTROL OF NONLINEAR-SYSTEMS WITH A TRIANGULAR STRUCTURE

被引：269

作者：

SETO, DB ^{[1
]}

ANNASWAMY, AM ^{[1
]}

BAILLIEUL, J ^{[1
]}

机构：

[1] MIT, DEPT MECH ENGN, CAMBRIDGE, MA 02139 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 07期

基金：

美国国家科学基金会;

关键词：

Control equipment - Control nonlinearities - Control theory - Differential equations - Linearization - Nonlinear control systems - Nonlinear equations - Parameter estimation - Perturbation techniques - Stabilization - System stability;

D O I：

10.1109/9.299624

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we introduce two distinct types of nonlinear dynamical systems, T1 and T2, both of which possess a triangular structure. It is shown that all systems belonging to T1 can be made stable and that if they belong to a subclass T1s, the stability holds globally. A precise characterization of the general class of nonlinear systems transformable to T1 is carried out. The second class, T2, corresponds to a set of second-order nonlinear differential equations and is motivated by problems that occur in mechanical systems. It is shown that global tracking can be achieved for all systems in T2. A constructive approach is used in all cases to develop the adaptive controller, and both stabilization and tracking are shown to be realizable. Simple examples are given to illustrate the different classes of nonlinear systems as well as the idea behind the approach used to stabilize them.

引用

页码：1411 / 1428

页数：18

共 20 条

[11] A MODEL-REFERENCE ADAPTIVE-CONTROL SCHEME FOR PURE-FEEDBACK NONLINEAR-SYSTEMS [J].