Title :
H∞ control of systems under norm bounded uncertainties in all system matrices
Author_Institution :
Dept. of Mech. & Ind. Eng., Southern Illinois Univ., Edwardsville, IL, USA
fDate :
6/1/1994 12:00:00 AM
Abstract :
This paper concerns H∞ control of systems under norm bounded uncertainties in all the system matrices. This is an extension of the work by Xie et al.(1992), where only the A matrix is allowed to be uncertain. It is found that the problem shares the same formulation with the H∞ control problem for systems without uncertainties. It can also be viewed as reducing the problem of dealing with systems with both structured uncertainties and unstructured uncertainties to one with unstructured uncertainties only
Keywords :
closed loop systems; linear systems; matrix algebra; optimal control; H∞ control; closed loop linear uncertain systems; norm bounded uncertainties; structured uncertainties; system matrices; unstructured uncertainties; Control systems; Costs; Design engineering; Matrix decomposition; Performance analysis; Riccati equations; Robust control; Stability; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
