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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Texto
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Resumen
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 | ||||||
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Materias: | CONACYT > Ingeniería y Tecnología | ||||||
Divisiones: | Ingeniería Mecánica y Eléctrica | ||||||
Usuario depositante: | Dr. René Galindo Orozco | ||||||
Creadores: |
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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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