Development of Analysis Tools for Certification of Flight Control Laws
Air Force Office of Scientific Research, FA9550-05-1-0266
05/01/05 - 04/30/08
Andrew Packard, Pete Seiler and Gary Balas
This work was sponsored (in part) by the Air Force Office
of Scientific Research, USAF, under grant/contract number
FA9550-05-1-0266.
The views and conclusions contained herein are those of
the authors and should not be interpreted as necessarily representing the
official policies or endorsements, either expressed or implied, of the
Air Force Office of Scientific Research or the U.S. Government.
Slides:
these works are licensed under a
Creative Commons License.
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2009 ACC slides,
Linearized Analysis versus Optimization-Based Nonlinear Analysis for Nonlinear Systems
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2009 ACC slides,
Robust Performance for Locally Stable Systems
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2008 AFOSR Program Review, PowerPoint, Final Version
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2007 AFOSR Program Review, PowerPoint, Final Version
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2006 AFOSR Program Review, PowerPoint, Final Version
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2005 AFOSR Program Review, PowerPoint, Final Version
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2006 ACC slides,
Stability region analysis using sum of squares programming
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2006 ACC slides,
Local gain analysis of nonlinear systems
Quad Charts:
these works are licensed under a
Creative Commons License.
Examples: Note that in order to manipulate the data in the example files,
you need the @polynomial class which is included in the
SOSTOOLS release.
Preprints
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Stability region analysis using sum of squares programming,
appears in 2006 American Control Conference, June 2006.
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Local gain analysis of nonlinear systems,
appears in 2006 American Control Conference, June 2006.
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Stability region analysis using simulations and sum-of-squares programming,
appears in 2007 American Control Conference, June 2007.
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Stability region analysis for uncertain nonlinear systems,
appears in 2007 IEEE CDC Conference, Dec 2007.
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Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm,
Local gain analysis of nonlinear systems,
appears in 2008 American Control Conference, June 2008.
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Simulation-aided reachability and local gain analysis for nonlinear
dynamical systems,
appears in 2008 IEEE CDC Conference, Dec 2008.
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Linearized Analysis versus Optimization-based Nonlinear
Analysis for Nonlinear Systems,
appears in 2009 American Control Conference, June 2008.
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Local Robust Performance Analysis for Nonlinear Dynamical Systems,
appears in 2009 American Control Conference, June 2008.
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Stability Region Analysis using composite Lyapunov
functions and Sum of Squares Programming,
appears in IEEE TAC;
See
Global Stability Analysis addendum for more details.
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Local Stability analysis using simulations and sum-of-squares programming,
appears in Automatica;
Polynomial Certificates for Topcu/Packard/Seiler Automatica,
Matlab .mat file (updated June 7, 2007).
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Local Stability analysis for uncertain nonlinear systems,
to appear in IEEE TAC;
Polynomial Certificates for Topcu/Packard IEEE TAC Special Issue,
Matlab .mat file (updated July 2, 2007).
Reports
Related Papers:
these works are licensed under a
Creative Commons License.
Software
Original Proposal
Related Links
Private Shared Documents