Title :
Primal-dual interior methods for biaffine matrix inequality problems in control
Author_Institution :
Dept. of Electr. Eng., Seoul Univ., South Korea
fDate :
6/21/1905 12:00:00 AM
Abstract :
An efficient primal-dual interior method for solving biaffine matrix inequality problems is proposed. Some extensions of Newton´s method is also proposed for nonconvex optimization problems. The proposed methods can be applied to synthesizing robust controllers, static output feedback controllers, mixed H2/H∞ controllers, mixed H2/H∞ PID controllers, etc. Which can be obtained by solving biaffine or linear matrix inequality problems. An explicit algorithm is also provided using the matrices in control problems
Keywords :
H∞ control; Newton method; control system synthesis; duality (mathematics); feedback; matrix algebra; robust control; three-term control; biaffine matrix inequality problems; linear matrix inequality problems; mixed H2/H∞ PID controllers; nonconvex optimization problems; primal-dual interior methods; robust controllers; static output feedback controllers; Adaptive control; Hydrogen; Linear feedback control systems; Linear matrix inequalities; Linear programming; Optimal control; Optimization methods; Robust control; Search methods; Three-term control;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832927
