Configuration Controllability of Simple Mechanical Control Systems: Difference between revisions

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{{HTDB paper
{{HTDB paper
| authors = Andrew D. Lewis and Richard M. Murray
| authors = Andrew D. Lewis and Richard M. Murray  
| title = Configuration Controllability of Simple Mechanical Control Systems
| title = Configuration Controllability of Simple Mechanical Control Systems  
| source = <i>SIAM Review</i>, 41(3):555-574, 1999
| source = <i>SIAM J. Control and Optimization</i>, 35(3):766-790
| year = 1999
| year = 1997
| type = Review Paper
| type = CDS
| funding = NSF
Technical Report
| url = http://www.cds.caltech.edu/~murray/preprints/lm99-siamrev.pdf
| funding = Powell
| abstract = In this paper we present a definition of &quot;configuration controllability&quot; for
| url = ftp://ftp.cds.caltech.edu/pub/cds/techreports/postscript/cds95-015.pdf
| abstract = In this paper we present a definition of &quot;configuration controllability&quot; for
mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric
mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric
minus potential energy. A computable test for this new version of controllability is also
minus potential energy. A computable test for this new version of controllability is also
Line 14: Line 15:
we are able to derive computable sufficient conditions. Examples illustrate the theory.  
we are able to derive computable sufficient conditions. Examples illustrate the theory.  
| flags =  
| flags =  
| filetype = PDF, 12 pages
| tag = lm95-cds
| filesize = 657K
| id = 1995l
| tag = lm99-siamrev
| id = 1999g
}}
}}

Latest revision as of 06:20, 15 May 2016


Andrew D. Lewis and Richard M. Murray
SIAM J. Control and Optimization, 35(3):766-790

In this paper we present a definition of "configuration controllability" for mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric minus potential energy. A computable test for this new version of controllability is also derived. This condition involves a new object which we call the symmetric product. Of particular interest is a definition of "equilibrium controllability" for which we are able to derive computable sufficient conditions. Examples illustrate the theory.

  • CDS

Technical Report: ftp://ftp.cds.caltech.edu/pub/cds/techreports/postscript/cds95-015.pdf