𝔖 Bobbio Scriptorium
✦   LIBER   ✦

CONTROLLER REDUCTION FOR NONLINEAR PLANTS—AN L2 APPROACH

✍ Scribed by Lacramioara Pavel; Frederick W. Fairman

Book ID
101289598
Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
396 KB
Volume
7
Category
Article
ISSN
1049-8923

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✦ Synopsis

This paper extends the H balanced truncation approach of Mustafa-Glover for linear plants to input affine nonlinear plants. Nonlinear H balanced truncation is used to obtain a reduced order controller. Conditions which ensure that this controller stabilizes the full order plant are derived. This is done by relating the model reduction problem to a robust stabilization problem with unstructured perturbation. In addition an upper bound on the performance of the closed loop system, with respect to the ¸ gain, is obtained. When specialized to linear plants this bound reduces to Mustafa-Glover's result.

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