Multirealization of linear systems
Brian D. O. Anderson, Steven Weidong Su, Thomas S. Brinsmead · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · 2005
For multiple-model adaptive control systems, "multi-controller" architecture can be efficiently implemented (multirealized) by means of a "state-shared" parameter-dependent feedback system. Necessary and sufficient conditions for the multirealization of a family of linear multivariable systems based on matrix fractional descriptions are presented. The problem of the minimal generic multirealization of a set of linear systems is introduced and solved.