Title :
An iterative method for mixed H2/H∞ control design with uncommon LMI solutions
Author :
Shimomura, Takashi ; Fujii, Takao
Author_Institution :
Hansen Exp. Phys. Lab., Stanford Univ., CA, USA
Abstract :
Attempts to solve the state-feedback H2/H∞ control problem by a LMI technique that allows for uncommon LMI solutions. In order to obtain a common controller ensuring the two performance criteria while allowing uncommon LMI solutions, we figure out what portion of the LMI solution should be constrained. Then, utilizing the freedom of the unconstrained portion, we propose an iterative method to obtain an updated controller gain which further improves the H2 performance under the H∞ constraint. An illustrated example is included.
Keywords :
H∞ control; control system synthesis; iterative methods; linear systems; matrix algebra; state feedback; iterative method; mixed H2/H∞ control design; performance criteria; uncommon LMI solutions; updated controller gain; Constraint optimization; Control design; Gas detectors; Iterative methods; Negative feedback; Negative feedback loops; Open loop systems; Roentgenium; State feedback; Transfer functions;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.782374
