Title :
A search method for a fixed-order controller of H2/H∞ control problems
Author :
Saeki, Masami ; Kawanishi, Keisuke ; Wada, Nobutaka
Author_Institution :
Dept. of Mech. Syst. Eng., Hiroshima Univ., Higashi-Hiroshima, Japan
Abstract :
In this paper, a search method for fixed order controllers that satisfy H2/H∞ control problems is studied. Since this problem can be reduced to a static output control problem, we give a numerical method for finding a static output feedback gain that makes H2 norm performance index smaller subject to an H∞ norm constraint. This method searches for a solution of bilinear matrix inequalities whose variables are Lyapunov matrices and the controller gain matrix. This method is a descent method in the controller gain space where the feasible direction of the gain is computed by solving an linear matrix inequality and then a minimum point in the direction is obtained by a line search. By iterating this procedure, the value of the H2 cost function decreases monotonically while the H∞ constraint is being satisfied.
Keywords :
H∞ control; Lyapunov matrix equations; feedback; linear matrix inequalities; search problems; H∞ control problem; H2 control; Lyapunov matrices; bilinear matrix inequalities; controller gain matrix; descent method; fixed-order controller; linear matrix inequality; numerical method; search method; static output control problem; static output feedback; Attenuation; Level set; Linear matrix inequalities; Optimization; Robust stability; Symmetric matrices; Transfer functions; BMI; H2/H∞ control; LMI; descent method; fixed order controller;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8