State-space realization of nonlinear control systems: unification and extension via pseudo-linear algebra

Title:

State-space realization of nonlinear control systems: unification and extension via pseudo-linear algebra

Creator:

Belikov, Juri, Kotta, Ülle, and Tonsö, Maris

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:27c58545-e9c2-43d6-9cc9-3d96371c4f82
uuid:27c58545-e9c2-43d6-9cc9-3d96371c4f82

Subject:

nonlinear control systems, input-output models, realization, and pseudo-linear algebra

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper the tools of pseudo-linear algebra are applied to the realization problem, allowing to unify the study of the continuous- and discrete-time nonlinear control systems under a single algebraic framework. The realization of nonlinear input-output equation, defined in terms of the pseudo-linear operator, in the classical state-space form is addressed by the polynomial approach in which the system is described by two polynomials from the non-commutative ring of skew polynomials. This allows to simplify the existing step-by-step algorithm-based solution. The paper presents explicit formulas to compute the differentials of the state coordinates directly from the polynomial description of the nonlinear system. The method is straight-forward and better suited for implementation in different computer algebra packages such as \textit{Mathematica} or \textit{Maple}.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[1100]-1113

Source:

Kybernetika | 2012 Volume:48 | Number:6

Harvested from:

CDK

Metadata only:

false