Minimal multirealization of MIMO linear systems

Publication Type:
Journal Article
IEEE Transactions on Automatic Control, 2006, 51 (4), pp. 690 - 695
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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. © 2006 IEEE.
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