H∞ control of nonlinear systems via output feedback: a class of controllers
- Creators
- Lu, Wei-Min
-
Doyle, John C.
Abstract
The standard state space solutions to the H∞ control problem for linear time invariant systems are generalized to nonlinear time-invariant systems. A class of nonlinear H∞ controllers are parametrized as nonlinear fractional transformation on contractive, stable free nonlinear parameters. As in the linear case, the H∞ control problem is solved by its reduction to a state feedback and output injection problems, together with a separation argument. the sufficient conditions for H∞-control problem to be solved are also derived with this machinery. The solvability for nonlinear H∞ control problem requires positive definite solution to two parallel decoupled Hamilton-Jacobi inequalities and these two solutions satisfy and additional coupling condition. An illustrative example, which deals with a passive plant, is given.
Additional Information
© 1993 IEEE. The authors would like to thank Prof. R. Murray at Caltech for extensive discussion during this work. They also gratefully acknowledge helpful discussion with Profs. K. Astrom and M.A. Dahleh. Support for this work was provided by NSF, AFOSR, and ONR.Attached Files
Published - 00325170.pdf
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Additional details
- Eprint ID
- 93954
- Resolver ID
- CaltechAUTHORS:20190319-084913906
- NSF
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- Created
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2019-03-19Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field