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Quadratic Distance Approach to Robust Multi-Objective Control

Name: Quadratic Distance Approach to Robust Multi-Objective Control
Brand: LAP Lambert Academic Publishing
SKU: 06976568
Price: 64.13 EUR
Availability: InStock
Author: Abimbola Jubril
ISBN: 9783846593691

Quadratic Distance To Robust Multi-Objective Control

Abimbola Jubril

Език

Английски език

Книга С меки корици

Код Либристо: 06976568

Издателство LAP Lambert Academic Publishing, ноември 2010

Most practical systems and control problems are pure multi-objective problems. Multi-objective or ve... Цялото описание

Код Либристо: 06976568

155 b

64.13 €

125.43 лв

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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.