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Pauliana Rufino de Almeida Lima Oliveira
Programa de Pós-graduação em Engenharia Elétrica UFSJ/CEFET-MG Avenida Amazonas 7675, Belo Horizonte, MG
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Eduardo Nunes Gonçalves
Departamento de Engenharia Elétrica do CEFET-MG Avenida Amazonas 7675, Belo Horizonte, MG
Keywords:
∞ robust control, linear matrix inequalities, state-feedback control, evolutionary optimization
Abstract
Linear matrix inequalities are a powerful tool in the field of robust control for analysis and synthesis of control systems. This work presents new formulations based on linear matrix inequalities for ∞ robust control synthesis by state-feedback for discrete time-invariant linear systems. The formulations include an additional matrix variable, which allows the Lyapunov function to be parameter-dependent, and two scalar parameters that must be chosen by the designer. It is proposed to apply evolutionary optimization to determine the optimal values of these two parameters. There are three possibilities for determining the two parameters, setting the first, setting the second, or optimizing both. The proposed formulations include existing formulations in the literature for specific values of the two scalar parameters. Case studies are presented to evaluate the proposed formulations.
