Co-ordinate transformation in back-stepping design for a class of non-linear systems

✍ Scribed by Wei Zhan; Le Yi Wang

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 523 KB
• Volume: 9
• Category: Article
• ISSN: 0890-6327
• DOI: 10.1002/acs.4480090505

✦ Synopsis

In this paper the problem of existence and construction of a co-ordinate transformation is investigated for non-linear systems appearing in feedback linearization and back-stepping adaptive control problems. Conditions are derived to completely characterize the classes of non-linear systems that are transformable to the simple triangular and parametric simple triangular forms via linear transformations. The conditions are shown to be invariant under linear co-ordinate transformations and non-linear feedback. For systems satisfying these conditions, the development of the co-ordinate transformation is shown to be equivalent to that of their first-order approximations and is straightforward.