Stability robustness of LQ optimal regulators for the performance index with cross-product terms

Suggested are the guaranteed stability margins of LQ optimal regulators for the performance index with cross-product terms, using modified return difference equality. Sufficient conditions to guarantee the required stability margins are presented as well as the conditions to guarantee the stability...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 39; no. 8; pp. 1698 - 1702
Main Authors Dohyoung Chung, Taesam Kang, Jang Gyu Lee
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.08.1994
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Computer science; control theory; systems
Control systems
Control theory. Systems
Delay effects
Delay systems
Exact sciences and technology
Optimal control
Performance analysis
Regulators
Riccati equations
Robust control
Robust stability
Sufficient conditions
Robustness
LQ control
Stability
Dc motor
Optimal control
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Summary:Suggested are the guaranteed stability margins of LQ optimal regulators for the performance index with cross-product terms, using modified return difference equality. Sufficient conditions to guarantee the required stability margins are presented as well as the conditions to guarantee the stability margins of standard LQ optimal regulators. An example for LQ optimal control of a DC motor system is given to demonstrate how the weighting matrices can be chosen to guarantee the required stability margins.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.310055