Subspace Identification of Linear Systems with Partial Eigenvalue Constraints

Authors

  • Rodrigo Augusto Ricco UFOP
  • Anny Verly Universidade Federal de Ouro Preto, Departamento de Engenharia Elétrica
  • Marcus Vinicius de Paula Universidade Federal de Minas Gerais, Programa de Pós-Graduação em Engenharia Elétrica
  • Bruno Otávio Soares Teixeira Universidade Federal de Minas Gerais, Programa de Pós-Graduação em Engenharia Elétrica

Keywords:

Subspace identification, partial eigenvalue constraint, gray-box identification, linear systems, LMI, SISO systems

Abstract

For subspace identification methods with eigenvalue constraints, the constraints are enforced by means of an optimization problem subject to LMI constraints. First principals or step response tests could be used as a source of auxiliary information in order to build LMI regions. In these cases, all the eigenvalues of the identified state-space model are subject to the same constraints. However, it often happens that the non-dominant eigenvalues have larger real part or larger natural frequencies. In this paper, we propose a two-step method in order to constrain the dominant dynamics of SISO models into LMI regions. In virtue of this result, in addition, the model eigenvalues could be constrained into disjoint LMI regions. Numerical examples illustrate the effectiveness of our proposed method.

Downloads

Download data is not yet available.

Author Biography

Anny Verly, Universidade Federal de Ouro Preto, Departamento de Engenharia Elétrica

Anny Verly  é bacharel em engenharia elétrica pela Universidade Federal de São João del-Rei (2010). Obteve o título de mestre engenharia elétrica (2012) na Universidade Federal de Minas Gerais, onde atualmente é doutoranda. Também é professora do Departamento de Engenharia Elétrica da Universidade Federal de Ouro Preto. Tem interesse nas áreas de estimação de estados, identificação de sistemas e redes complexas.

Downloads

Published

2019-10-03

How to Cite

Ricco, R. A., Verly, A., de Paula, M. V., & Teixeira, B. O. S. (2019). Subspace Identification of Linear Systems with Partial Eigenvalue Constraints. IEEE Latin America Transactions, 17(2), 288–296. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/1834

Issue

Vol. 17 No. 2 (2019): Ordinary Issue

Section

Articles

Most read articles by the same author(s)