Mixed sensitivity control: a non-iterative approach

Galindo Orozco, René (2020) Mixed sensitivity control: a non-iterative approach. Systems Science & Control Engineering, 8 (1). pp. 441-453. ISSN 2164-2583

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Recent analytical solutions to Mixed Sensitivity Control (MSC) are developed and compared with standard MSC based on γ -iteration. The proposed MSC solution gives conditions for strong stability and overcomes the pole-zero cancellations between the plant and the controller of non-iterative solutions, keeping the low-computational effort advantage of non-iterative solutions. The proposed MSC is based on the minimization of the most common closed-loop sensitivity functions in low frequencies and the free-parameters of the stabilizing-controllers solve an algebraic equation of restriction that assigns the same value to the infinity-norms of the sensitivity functions at low and high-frequencies, guaranteeing robust stability and robust performance. It is assumed that the plant state dimension is double the plant input dimension and that the linear time-invariant nominal plant has a stabilizable and detectable realization and is strongly stabilizable. This MSC problem is solved in a one-parameter observer-controller configuration and reference tracking-control of positions is realized on a two-degrees of freedom feedback-configuration. An approximated optimal value of the location of the closed-loop poles is proposed based on Glover and McFarlane’s optimal stability margin [(1989)] which in turn is based on Nehari’s Theorem. Simulations of a mechanical system illustrate the results.

Tipo de elemento: Article
Materias: CONACYT > Ingeniería y Tecnología
Divisiones: Ingeniería Mecánica y Eléctrica
Usuario depositante: Dr. René Galindo Orozco
Galindo Orozco, Renérgalindo@gama.fime.uanl.mxNO ESPECIFICADO
Fecha del depósito: 31 Ago 2020 17:30
Última modificación: 31 Ago 2020 17:30
URI: http://eprints.uanl.mx/id/eprint/19845

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