DocumentCode :
2310149
Title :
Exact algebraic pole-zero cancellation using symbolic mathematical computation
Author :
Larcombe, P.J. ; Woodham, C.A. ; Brown, I.C.
Author_Institution :
Univ. of Derby, UK
Volume :
1
fYear :
1998
fDate :
1-4 Sep 1998
Firstpage :
117
Abstract :
Modern symbolic computational systems which perform automated manipulation of mathematical variables offer insights during modelling and problem solving which remain otherwise partially or wholly obscured to the analyst. The classic inverted pendulum model is re-visited, and previous work concerning the systems controllability is investigated. In particular, the ability of the software to factorise complicated multivariable polynomials is exploited to identify, in fully general form, the anticipated pole-zero term cancelling throughout the transfer functions of the system when it is in a state of un-controllability. All three balancing problems associated with the two link pendulum are treated, and the phenomenon of non-controllability is examined in this way along the entire `curve of non-controllability´ which, within the approximation of linearity, theoretically exists for each when damping is present
Keywords :
controllability; control system analysis computing; controllability; damping; inverted pendulum; multivariable polynomials; pole-zero cancellation; symbolic manipulation; transfer functions;
fLanguage :
English
Publisher :
iet
Conference_Titel :
Control '98. UKACC International Conference on (Conf. Publ. No. 455)
Conference_Location :
Swansea
ISSN :
0537-9989
Print_ISBN :
0-85296-708-X
Type :
conf
DOI :
10.1049/cp:19980212
Filename :
727880
Link To Document :
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