Title :
A Quasi-Newton Interior Point Method for Low Order H-Infinity Controller Synthesis
Author :
Ankelhed, Daniel ; Helmersson, Anders ; Hansson, Anders
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Linkoping, Sweden
fDate :
6/1/2011 12:00:00 AM
Abstract :
This technical note proposes a method for low order H-infinity synthesis where the constraint on the order of the controller is formulated as a rational equation. The resulting nonconvex optimization problem is then solved by applying a quasi-Newton primal-dual interior point method. The proposed method is evaluated together with a well-known method from the literature. The results indicate that the proposed method has comparable performance and speed.
Keywords :
H∞ control; Newton method; concave programming; control system synthesis; rational functions; reduced order systems; low order H-infinity controller synthesis; nonconvex optimization problem; quasiNewton primal-dual interior point method; rational equation; Approximation algorithms; Closed loop systems; Equations; Prediction algorithms; Symmetric matrices; Vectors; H-infinity synthesis; interior point methods; linear matrix inequalities (LMIs); quasi-Newton methods; rank constraints; rational constraints;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2118930
