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Detail publikace

Citace

Prautsch, P. and Mita, T. : On transformation of nonholonomic systems to time-state control form . The 11th Mediterranean Conference on Control and Automation, p. 1-6, Mediterranean Control Association, Rhodes, Greece, 2003.

Abstrakt

Time-state control form (TSCF) provides and alternative way to stabilization of symmetrical affine systems. These systems usually arise as nonholonomic driftless systems. It is, however, not precisely determined which systems can be transformed into this form. Conversion of a general driftless system to the TSCF is a subject of this paper. For control purposes, it is desired that the state variable part of TSCF has a controllable approximate linearization. We give a procedure for conversion once a special vector field called the time axis vector field is known. Since this vector field is hard to find, we turn for help to the machinery of exterior differential systems. It turns out that any flat system can be transformed to TSCF with controllable linearization of state variable part. We show an example of a system of dimension 5. As a side product, we obtain a result on linearization by time scaling.

Detail publikace

Název: On transformation of nonholonomic systems to time-state control form
Autor: Prautsch, P. ; Mita, T.
Jazyk publikace: anglicky
Datum vydání: 18.6.2003
Rok vydání: 2003
Typ publikace: Stať ve sborníku
Název časopisu / knihy: The 11th Mediterranean Conference on Control and Automation
Strana: 1 - 6
ISBN: 960-87706-0-2
Nakladatel: Mediterranean Control Association
Místo vydání: Rhodes, Greece
Datum: 18.6.2003 - 20.6.2003
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Klíčová slova

Time-state control form, differential flatness, linearization, Pfaffian systems

BibTeX

@INPROCEEDINGS{PrautschP_2003_Ontransformationof,
 author = {Prautsch, P. and Mita, T.},
 title = {On transformation of nonholonomic systems to time-state control form},
 year = {2003},
 publisher = {Mediterranean Control Association},
 journal = {The 11th Mediterranean Conference on Control and Automation},
 address = {Rhodes, Greece},
 pages = {1-6},
 ISBN = {960-87706-0-2},
 url = {http://www.kky.zcu.cz/en/publications/PrautschP_2003_Ontransformationof},
}