The problem addressed is the decoupling of a MIMO system, with the number of inputs equal to the number of outputs, as well as the optimal control of this system after its decoupling. The first step is to define a compensator structure for the MIMO system, which makes each output dependent on a single input. For the decoupled system, a feedback control law is proposed, where the feedback gain matrix is determined by optimizing a performance index defined as a quadratic cost function. The control method is based on LQR, through which an LMI formulation is adapted.

Keywords:
decoupling of MIMO systems; optimal control; Linear Quadratic Regulator (LQR); linear matrix inequalities (LMI); output feedback

Authorship

V. G. SILVA

Universidade Federal do Maranhão UFMA, Departamento de Engenharia Elétrica, MA, Brasil - E-mail: vilemar.gomes@ufma.brUniversidade Federal do MaranhãoBrasilMA, BrasilUniversidade Federal do Maranhão UFMA, Departamento de Engenharia Elétrica, MA, Brasil - E-mail: vilemar.gomes@ufma.br

https://orcid.org/0009-0005-0945-3000

J. V. DA FONSECA NETO^**Corresponding author: João Viana Fonseca Neto - E-mail: joao.fonseca@ufma.br

Universidade Federal do Maranhão UFMA, Programa de Pós Graduação em Engenharia Elétrica, MA, Brasil - E-mail: joao.fonseca@ufma.brUniversidade Federal do MaranhãoBrasilMA, BrasilUniversidade Federal do Maranhão UFMA, Programa de Pós Graduação em Engenharia Elétrica, MA, Brasil - E-mail: joao.fonseca@ufma.br

https://orcid.org/0000-0003-4606-7510

*Corresponding author: João Viana Fonseca Neto - E-mail: joao.fonseca@ufma.br

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