Title :
Realizability of bilinear input/output difference equations: Corrections and extensions
Author :
Belikov, Juri ; Kotta, Palle ; Kotta, Ulle
Author_Institution :
Inst. of Cybern., Tallinn Univ. of Technol., Tallinn, Estonia
Abstract :
This article studies the realizability property of discrete-time bilinear input-output (i/o) equations in the classical state-space form. Constraints on the parameters of the bilinear i/o model are suggested that lead to realizable models. Using new formulas for computing basis vectors of certain vector spaces of differential one-forms, we present in this paper the complete list of the third- and fourth-order realizable input-output bilinear models. Moreover, we provide a new realizable subclass of an arbitrary order.
Keywords :
bilinear systems; difference equations; discrete time systems; state-space methods; bilinear input/output difference equations; fourth-order realizable input-output bilinear models; state-space realization; third-order realizable input-output bilinear models; bilinear input-output difference equations; discrete-time control systems; polynomials methods; state-space realization;
Conference_Titel :
Control 2010, UKACC International Conference on
Conference_Location :
Coventry
Electronic_ISBN :
978-1-84600-038-6
DOI :
10.1049/ic.2010.0270