Sökning: "interior point methods"

Visar resultat 1 - 5 av 42 avhandlingar innehållade orden interior point methods.

1. 1. Approaches to accelerate methods for solving systems of equations arising in nonlinear optimization

   Författare :David Ek; Anders Forsgren; Jacek Gondzio; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Nonlinear optimization; mathematical programming; interior-point methods; approximate solutions to systems of linear equations; method of conjugate gradients; quasi-Newton methods; modified Newton methods; Ickelinjär optimering; matematisk programmering; inre-punktsmetoder; approximativa lösningar till linjära ekvationssystem; konjugerade gradientmetoden; kvasi-Newtonmetoder; modifierade Newtonmetoder.; Optimization and Systems Theory; Optimeringslära och systemteori;

   Sammanfattning : Methods for solving nonlinear optimization problems typically involve solving systems of equations. This thesis concerns approaches for accelerating some of those methods. In our setting, accelerating involves finding a trade-off between the computational cost of an iteration and the quality of the computed search direction. LÄS MER

3. 2. On Some Properties of Interior Methods for Optimization

   Författare :Göran Sporre; KTH; []
   Nyckelord :Interior method; primal-dual interior method; linear programming; quadratic programming; nonlinear programming; semidefinite programming; weighted least-squares problems; central path;

   Sammanfattning : This thesis consists of four independent papers concerningdifferent aspects of interior methods for optimization. Threeof the papers focus on theoretical aspects while the fourth oneconcerns some computational experiments. LÄS MER

4. 3. Structure exploiting optimization methods for model predictive control

   Författare :Emil Klintberg; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Multi-stage robust MPC; Optimization methods.; Model Predictive Control; Distributed optimization;

   Sammanfattning : This thesis considers optimization methods for Model Predictive Control (MPC). MPC is the preferred control technique in a growing set of applications due to its flexibility and to the natural way in which constraints can be incorporated in the control policy. LÄS MER

5. 4. On design of low order H-infinity controllers

   Författare :Daniel Ankelhed; Anders Hansson; Anders Helmersson; Jakob Stoustrup; Linköpings universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; H-infinity synthesis; linear systems; linear matrix inequalities; rank constraints; optimization; rational constraints; interior point methods; Automatic control; Reglerteknik;

   Sammanfattning : When designing controllers with robust performance and stabilization requirements, H-infinity synthesis is a common tool to use. These controllers are often obtained by solving mathematical optimization problems. The controllers that result from these algorithms are typically of very high order, which complicates implementation. LÄS MER

7. 5. On low order controller synthesis using rational constraints

   Författare :Daniel Ankelhed; Anders Hansson; Anders Helmersson; Anders Forsgren; Linköpings universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; H-infinity synthesis; Linear Matrix Inequalities; rank constraints; polynomial constraints; interior point methods; Automatic control; Reglerteknik;

   Sammanfattning : In order to design robust controllers, H-infinity synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. LÄS MER