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H∞ Control of Nonlinear Systems: A Convex Characterization

Lu, Wei-Min and Doyle, John C. (1993) H∞ Control of Nonlinear Systems: A Convex Characterization. California Institute of Technology , Pasadena, CA. (Unpublished)

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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.

Item Type:Report or Paper (Technical Report)
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Doyle, John C.0000-0002-1828-2486
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.
Group:Control and Dynamical Systems Technical Reports
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:H-infinity control
Record Number:CaltechCDSTR:1993.020
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Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28053
Deposited By: Imported from CaltechCDSTR
Deposited On:31 Aug 2006
Last Modified:03 Oct 2019 03:28

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