Realization of a vector field via state feedback for polynomial dynamical systems

Tsuyoshi Yuno; Toshiyuki Ohtsuka

doi:10.1109/ECC.2014.6862184

Realization of a vector field via state feedback for polynomial dynamical systems

Tsuyoshi Yuno, Toshiyuki Ohtsuka

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

In this paper, we deal with the problem of obtaining a state feedback controller for polynomial dynamical systems such that the resulting closed-loop system will have a prescribed vector field on a given algebraic set. The problem relates to the realization of a prescribed stable limit cycle and the path following control. A procedure for solving the problem is provided such that all the polynomial state feedback controllers required in the problem can be represented by using free polynomial parameters. The free parameters can be utilized to specify the dynamics of the resulting closed-loop system outside the algebraic set.

Original language	English
Title of host publication	2014 European Control Conference, ECC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2454-2459
Number of pages	6
ISBN (Electronic)	9783952426913
DOIs	https://doi.org/10.1109/ECC.2014.6862184
Publication status	Published - Jul 22 2014
Externally published	Yes
Event	13th European Control Conference, ECC 2014 - Strasbourg, France Duration: Jun 24 2014 → Jun 27 2014

Publication series

Name	2014 European Control Conference, ECC 2014

Other

Other	13th European Control Conference, ECC 2014
Country/Territory	France
City	Strasbourg
Period	6/24/14 → 6/27/14

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1109/ECC.2014.6862184

Cite this

Realization of a vector field via state feedback for polynomial dynamical systems. / Yuno, Tsuyoshi; Ohtsuka, Toshiyuki.
2014 European Control Conference, ECC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 2454-2459 6862184 (2014 European Control Conference, ECC 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yuno, T & Ohtsuka, T 2014, Realization of a vector field via state feedback for polynomial dynamical systems. in 2014 European Control Conference, ECC 2014., 6862184, 2014 European Control Conference, ECC 2014, Institute of Electrical and Electronics Engineers Inc., pp. 2454-2459, 13th European Control Conference, ECC 2014, Strasbourg, France, 6/24/14. https://doi.org/10.1109/ECC.2014.6862184

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Realization of a vector field via state feedback for polynomial dynamical systems

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