Numerical methods for model predictive control

Gianluca Frison

AbstractThis thesis mainly deals with the extended linear quadratic control problem 2.1, that is a special case of equality constrained quadratic program. 2.1 is a very general problem formulation, and it is useful for itself, since a number of other problems in optimal control and estimation of linear systems can be reduced to this form. Furthermore, it arises as sub-problem in sequential quadratic programs methods and interior-point methods for the solution of optimal control and estimation in case of non-linear systems and in presence of inequality constraints.
This thesis can be divided into two parts. In the rst part, we present and analyze a number of methods for the solution of problem 2.1. These methods have been implemented in efficient C code and compared each other.
In the second part, we define problem 8.1, that is an extension of problem 2.1 and takes into account also inequality constraints. Two interior-point methods
for the solution of problem 8.1 are presented and analyzed. Both methods have been implemented in C code and compared each other.
The focus is on the first part: the main goal of this thesis is the efficient implementation and comparison of different methods for solution of 2.1.
TypeMaster's thesis [Academic thesis]
Year2012
PublisherTechnical University of Denmark, DTU Informatics, E-mail: reception@imm.dtu.dk
AddressAsmussens Alle, Building 305, DK-2800 Kgs. Lyngby, Denmark
SeriesIMM-M.Sc.-2012-112
Note
Publication linkhttp://www.imm.dtu.dk/English.aspx
BibTeX data [bibtex]
IMM Group(s)Scientific Computing