✦ LIBER ✦

Global robust stabilization of cascaded polynomial systems

✍ Scribed by Zhiyong Chen; Jie Huang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 154 KB
Volume: 47
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00233-5

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✦ Synopsis

Global robust stabilization of nonlinear cascaded systems is a challenging problem when the zero-dynamics is not exponentially stable. Recently, some recursive procedure has been developed for handling this problem utilizing the small gain theorem. However, the success of the procedure depends on the satisfaction of some conditions which arise at each step of the recursion. In this paper, we will show that, for the important class of cascaded polynomial systems, the solvability conditions can be made satisÿed by appropriately implementing the recursive procedure. This result leads to an explicit construction of the control law.

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