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H-infinity control of nonlinear systems via output feedback: controller parameterization

Lu, Wei-Min and Doyle, John C. (1994) H-infinity control of nonlinear systems via output feedback: controller parameterization. IEEE Transactions on Automatic Control, 39 (12). pp. 2517-2521. ISSN 0018-9286. http://resolver.caltech.edu/CaltechAUTHORS:LUWieeetac94

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Abstract

The standard state space solutions to the H-infinity control problem for linear time invariant systems are generalized to nonlinear time-invariant systems. A class of local nonlinear (output feedback) H-infinity controllers are parameterized as nonlinear fractional transformations on contractive, stable nonlinear parameters. As in the linear case, the H-infinity control problem is solved by its reduction to state feedback and output estimation problems, together with a separation argument. Sufficient conditions for H-infinity-control problem to be locally solved are also derived with this machinery.


Item Type:Article
Additional Information:© Copyright 1994 IEEE. Reprinted with permission. Manuscript received April 12, 1993; revised February 7, 1994. This work was supported in part by NSF, AFOSR, and ONR. The authors would like to thank K. Astrom, M. A. Dahleh, and R. Murray for extensive discussion during this work. They also acknowledge some helpful comments by the anonymous reviewers.
Subject Keywords:H∞ control; control system analysis; feedback; nonlinear systems; state-space methods
Record Number:CaltechAUTHORS:LUWieeetac94
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LUWieeetac94
Alternative URL:http://dx.doi.org/10.1109/9.362834
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1708
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Feb 2006
Last Modified:26 Dec 2012 08:45

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