CaltechAUTHORS
  A Caltech Library Service

On Nonlinear Systems with Poorly Behaved Zero Dynamics

Doyle, F., III and Allgöwer, F. and Oliveira, S. and Gilles, E. and Morari, M. (1992) On Nonlinear Systems with Poorly Behaved Zero Dynamics. In: 1992 American Control Conference. IEEE , Piscataway, NJ, pp. 2571-2575. ISBN 0-7803-0210-9. https://resolver.caltech.edu/CaltechAUTHORS:20170606-164219983

[img] PDF - Published Version
See Usage Policy.

566kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170606-164219983

Abstract

The design of controllers for nonlinear, nonminimum-phase systems is very challenging and is currently considered to be one of the most difficult theoretical control problems. Most control algorithms for nonlinear processes perform a linearization making use of an inverse of the system. In the linear case, the system can be factored into the minimum-phase and the nonminimum-phase parts and only the first one is inverted for purpose of control design. A similar scheme for nonlinear systems is still under investigation. The present work adresses the problem of synthesizing nonlinear state feedback controllers for nonlinear, nonminimum-phase processes in three different ways. The first approach consists of a partial linearization which preserves stability by using an approximate stable/anti-stable factorization. The second technique can be viewed as an inner-outer factorization based approach. And, finally, in the single-output case, it is shown (through an example) that stabilization of the internal dynamics of a nonmininum-phase system can be achieved by using an additional input if this is feasible in practice. In this case, the manipulated variables have different roles, i.e., one is chosen such as to input/output feedback linearize the system and the second is used to locally stabilize the resulting nonminimum-phase internal dynamics.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://ieeexplore.ieee.org/document/4792605/PublisherArticle
Additional Information:© 1992 IEEE.
Record Number:CaltechAUTHORS:20170606-164219983
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170606-164219983
Official Citation:F. Doyle, F. Allgower, S. Oliveira, E. Gilles and M. Morari, "On Nonlinear Systems with Poorly Behaved Zero Dynamics," 1992 American Control Conference, Chicago, IL, USA, 1992, pp. 2571-2575.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77982
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:07 Jun 2017 16:25
Last Modified:03 Oct 2019 18:04

Repository Staff Only: item control page