# State Space Identification Algorithm based on Multivariable Impulse Response

### Mateus Giesbrecht, Gilmar Barreto, Celso Pascoli Bottura

#### Abstract

In this paper the definitions of multivariable discrete impulse and multivariable discrete impulse response are clearly stated and explored. From these definitions, two methods to determine the Markov parameters of a multivariable linear system from input and output data are described. Combining any of the methods to a known method to determine the state space model matrices from the Markov parameters, a practical algorithm to determine state space models from input and output data is obtained. The algorithm is then implemented and compared to a known subspace identification algorithm. The main contributions of this paper are the explicit definitions of multivariable discrete impulse and multivariable discrete impulse response, the discussion of these concepts and the application of them to solve the multivariable linear system identification problem.

Download#### Paper Citation

#### in Harvard Style

Giesbrecht M., Barreto G. and Pascoli Bottura C. (2018). **State Space Identification Algorithm based on Multivariable Impulse Response**.In *Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-321-6, pages 466-473. DOI: 10.5220/0006866204660473

#### in Bibtex Style

@conference{icinco18,

author={Mateus Giesbrecht and Gilmar Barreto and Celso Pascoli Bottura},

title={State Space Identification Algorithm based on Multivariable Impulse Response},

booktitle={Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2018},

pages={466-473},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006866204660473},

isbn={978-989-758-321-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - State Space Identification Algorithm based on Multivariable Impulse Response

SN - 978-989-758-321-6

AU - Giesbrecht M.

AU - Barreto G.

AU - Pascoli Bottura C.

PY - 2018

SP - 466

EP - 473

DO - 10.5220/0006866204660473