Published August 31, 2006
| Submitted
Report
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H∞ Control of Nonlinear Systems: A Convex Characterization
- Creators
- Lu, Wei-Min
-
Doyle, John C.
Abstract
The so-called nonlinear H∞-control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback H∞-control problems for a class of nonlinear systems are characterized in terms of continuous positive definite solutions of algebraic nonlinear matrix inequalities which are convex feasibility problems. The issue of existence of solutions to these nonlinear matrix inequalities (NLMIs) is justified.
Additional Information
The authors would like to thank David Gabai, Professor of Mathematics at Caltech, for helpful discussion and clarifying some differential geometrical concepts. Support for this work was provided by NSF, AFOSR, and ONR.Attached Files
Submitted - CDS93-020.pdf
Submitted - cds93-020.ps.gz
Files
CDS93-020.pdf
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Additional details
- Eprint ID
- 28053
- Resolver ID
- CaltechCDSTR:1993.020
- NSF
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- Created
-
2006-08-31Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Control and Dynamical Systems Technical Reports