ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2022): 0.9
Polynomial accessibility condition for the multi-input multi-output nonlinear control system; pp. 136–150
PDF | doi: 10.3176/proc.2014.2.04

Authors
Ülle Kotta ORCID Icon, Maris Tõnso, Yu Kawano
Abstract

The paper presents a computation-oriented necessary and sufficient accessibility condition for the set of nonlinear higher-order input-output differential equations. The condition is presented in terms of the greatest common left divisor of two polynomial matrices, associated with the system of input-output equations. The basic difference from the linear case is that the elements of the polynomial matrices belong to a non-commutative polynomial ring. The condition found provides a basis for finding the accessible representation of the set of input-output equations, which is a suitable starting point for the construction of an observable and accessible state space realization. Moreover, the condition allows us to check the transfer equivalence of two nonlinear systems.

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