Title :
Regularization of singular H2 and H∞ control problems
Author_Institution :
Electron. & Telecommun. Dept., CICESE Res. Center, Mexico
Abstract :
Presents a regularization method for treatment of the singular H ∞ control problem with dynamic measurement feedback in the case when the system output to be controlled depends only on the state variables and the transfer matrix from the input to the to-be-controlled output has a pole-zero excess of 1. The solution to the problem is based on its conversion into a standard H∞ suboptimal control problem. The method is also developed for a singular H2 control problem which is studied in parallel. A surprising fact is that, in contrast to the standard case, the singular H2 optimal controller differs from the corresponding singular linear quadratic Gaussian regulator
Keywords :
H∞ control; closed loop systems; feedback; linear quadratic Gaussian control; linear systems; poles and zeros; suboptimal control; transfer function matrices; dynamic measurement feedback; pole-zero excess; regularization method; singular H∞ control problem; singular H2 control problem; singular linear quadratic Gaussian regulator; standard H∞ suboptimal control problem; transfer matrix; Computational complexity; Hydrogen; Sufficient conditions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652517
