{"product_id":"quadratic-distance-approach-to-robust-multi-objective-control-von-abimbola-jubril","title":"Quadratic Distance  Approach to Robust Multi-Objective Control","description":"\u003cp\u003eMost 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783846593691\"\u003e\u003ch3\u003eQuadratic Distance To Robust Multi-Objective Control\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783846593691","offer_id":39472614932573,"sku":"9783846593691","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/d2d3a29b-b50f-4424-809e-6aef3bdaeaff.jpg?v=1769237512","url":"https:\/\/shop.autorenwelt.de\/products\/quadratic-distance-approach-to-robust-multi-objective-control-von-abimbola-jubril","provider":"Autorenwelt Shop","version":"1.0","type":"link"}