TY - JOUR
T1 - Minimal multirealization of MIMO linear systems
AU - Su, Steven Weidong
AU - Anderson, Brian D.O.
AU - Brinsmead, Thomas S.
PY - 2006/4
Y1 - 2006/4
N2 - This note explores the minimal multirealization problem, which is the determination of a minimal degree, parameter-dependent, state variable description to express a finite set of linear multivariable systems. The form of the parameter-dependent state variable description is selected as a feedback form to implement "state sharing" and "bumpless transfer," which are possible ways to improve poor transient responses for switching control. The problem is solved by finding a special kind of minimal multiplier for a finite set of polynomial matrices.
AB - This note explores the minimal multirealization problem, which is the determination of a minimal degree, parameter-dependent, state variable description to express a finite set of linear multivariable systems. The form of the parameter-dependent state variable description is selected as a feedback form to implement "state sharing" and "bumpless transfer," which are possible ways to improve poor transient responses for switching control. The problem is solved by finding a special kind of minimal multiplier for a finite set of polynomial matrices.
KW - Linear multivariable systems
KW - Multiple model adaptive control
KW - Switching systems
KW - System multirealization
UR - http://www.scopus.com/inward/record.url?scp=33645800587&partnerID=8YFLogxK
U2 - 10.1109/TAC.2006.872770
DO - 10.1109/TAC.2006.872770
M3 - Article
SN - 0018-9286
VL - 51
SP - 690
EP - 695
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 4
ER -