TY - JOUR
T1 - Reduced-order models, canonical forms and observers
AU - Arbel, Ami
AU - Tse, Edison
N1 - Funding Information:
In many practical problems, aggregation of variables is being performed implicitly on an intuitive level based on familiarity with the model under consideration. Control theory, being a study of dynamic systems, took quite naturally to the explicit study of this problem. The methods reported in the research literature represent quite a variety of approaches to the aggregation problem that can only rarely be solved exactly. One can find abstract discussions on the subject (Nordhal and Melsa 1967, Kolev and Krumov 1973, Grujic et al. 1976), as well as more practical, and easier to implement, approaches (Davison 1966, Aoki 1968, Mitra 1968, Chidambara 1969, Wilson 1970, Received 22 December 1978. t Research supported by the Office of Naval Research under ONR Contract N00014-75-C-0738. t Department of Engineering-Economic Systems, Stanford University, Stanford, California 94305, U.S.A.
PY - 1979/9
Y1 - 1979/9
N2 - This paper considers the conditions under which one can model the system's output, or any other transformation of the state, by a model of reduced-order. It is shown that a model of the same "dimension as the output vector is possible to obtain only under very restrictive conditions with strong implications. When a more general model is attempted it Leads to tho development of a new canonical form for linear dynamic systems with a scalar output. It is further shown that every such canonical form has an observer embedded in its structure whose elements can be picked out by inspection.
AB - This paper considers the conditions under which one can model the system's output, or any other transformation of the state, by a model of reduced-order. It is shown that a model of the same "dimension as the output vector is possible to obtain only under very restrictive conditions with strong implications. When a more general model is attempted it Leads to tho development of a new canonical form for linear dynamic systems with a scalar output. It is further shown that every such canonical form has an observer embedded in its structure whose elements can be picked out by inspection.
UR - http://www.scopus.com/inward/record.url?scp=0018517257&partnerID=8YFLogxK
U2 - 10.1080/00207177908922790
DO - 10.1080/00207177908922790
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0018517257
SN - 0020-7179
VL - 30
SP - 513
EP - 531
JO - International Journal of Control
JF - International Journal of Control
IS - 3
ER -
