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Quadratic Distance Approach to Robust Multi-Objective Control: Quadratic Distance To Robust Multi-Objective Control (Paperback)

Abimbola Jubril

ISBN 10: 3846593699 / ISBN 13: 9783846593691
Editorial: LAP Lambert Academic Publishing, Germany, 2011
Nuevos Condición: New Encuadernación de tapa blanda
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Language: English. Brand new Book. Most practical systems and control problems are pure multi-objective problems. Multi-objective or vector-objective optimization problem is characterized by the partial ordering of its solution space. This, unlike in single objective optimization problem, leads to the notion of non-inferiority and the Pareto-optimal solution set. As it has been observed that the vector-optimization problem translates to a scalar optimization problem if a functional that completely orders the solution space can be found. A very important question in the transformation of the vector optimization problem into a scalar optimization problem-form that needs to be answered is that of the equivalence of the scalar problem and the original vector problem. The book proposed a scalarization function which is a sum of squares of the objective functionals. This reduces the vector optimization problem to a quadratic distance problem or the intersection ellipsoid of minimum volume with the trade-off surface. This method has been applied to pure and robust multi-objective Linear Quadratic Regulator (LQR) problem, and to mixed-norm multi-objective problem. N° de ref. de la librería KNV9783846593691

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Título: Quadratic Distance Approach to Robust ...

Editorial: LAP Lambert Academic Publishing, Germany

Año de publicación: 2011

Encuadernación: Paperback

Condición del libro: New

Edición: Aufl.

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Most practical systems and control problems are pure multi-objective problems. Multi-objective or vector-objective optimization problem is characterized by the partial ordering of its solution space. This, unlike in single objective optimization problem, leads to the notion of non-inferiority and the Pareto-optimal solution set. As it has been observed that the vector-optimization problem translates to a scalar optimization problem if a functional that completely orders the solution space can be found. A very important question in the transformation of the vector optimization problem into a scalar optimization problem-form that needs to be answered is that of the equivalence of the scalar problem and the original vector problem. The book proposed a scalarization function which is a sum of squares of the objective functionals. This reduces the vector optimization problem to a quadratic distance problem or the intersection ellipsoid of minimum volume with the trade-off surface. This method has been applied to pure and robust multi-objective Linear Quadratic Regulator (LQR) problem, and to mixed-norm multi-objective problem.

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