Robust stabilization of nonlinear systems with pointwise norm-bounded uncertainties: A control Lyapunov function approach

被引：27

作者：

Battilotti, S ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Informat & Sistemist, Rome, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1999年 / 44卷 / 01期

关键词：

Lyapunov functions; robust stabilization; unstructured uncertainties;

D O I：

10.1109/9.739061

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, the authors give a necessary and sufficient condition for globally stabilizing a nonlinear system, robustly with respect to unstructured uncertainties <(Phi)over tilde>(u,x,t). norm-bounded for each fixed x and u. This condition requires one to find a smooth, proper, and positive definite solution V(x) of a suitable partial differential inequality depending only on the system data. A procedure, based on the knowledge of V (x)? is outlined for constructing almost smooth robustly stabilizing controllers. Our approach, based on Lyapunov functions, generalizes previous results for linear uncertain systems and establishes a precise connection between robust stabilization, on one hand, and H(infinity)-control sector conditions and input-to-state stabilization on the other.

引用

页码：3 / 17

页数：15

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