LQR approach to robust stabilization of state space systems with matched uncertainties

Wang, Q.-G., Lim, L. H. I. , Ye, Z., Nie, Z.-Y. and Yang, D. (2023) LQR approach to robust stabilization of state space systems with matched uncertainties. ISA Transactions, (doi: 10.1016/j.isatra.2023.07.034) (In Press)

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This note shows an elegant relationship between the quadratic optimal control and robust stabilization for linear time-invariant (LTI) systems, where the former control can robustly stabilize the latter system, provided that the matched uncertainty is bounded. Through reviewing the relevant literature, some common mistakes in regard to this relationship are found. The correct results are obtained and proved in both frequency and time domains. The results are applicable to both single- and multi-input cases. They are significant as the simple LQR design for the nominal system can be utilized to directly solve—with no further effort—the complex robust stabilization problem for a class of linear uncertain systems.

Item Type:Articles
Status:In Press
Glasgow Author(s) Enlighten ID:Lim, Dr Li Hong Idris
Authors: Wang, Q.-G., Lim, L. H. I., Ye, Z., Nie, Z.-Y., and Yang, D.
College/School:College of Science and Engineering > School of Engineering
Journal Name:ISA Transactions
ISSN (Online):1879-2022
Published Online:27 July 2023
Copyright Holders:Copyright © 2023 ISA
First Published:First published in ISA Transactions 2023
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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