A linear quadratic regulator approach to the stabilization of uncertain linear systemsThis paper presents a linear quadratic regulator approach to the stabilization of uncertain linear systems. The uncertain systems under consideration are described by state equations with the presence of time-varying unknown-but-bounded uncertainty matrices. The method is based on linear quadratic regulator (LQR) theory and Liapunov stability theory. The robust stabilizing control law for a given uncertain system can be easily constructed from the symmetric positive-definite solution of the associated augmented Riccati equation. The proposed approach can be applied to matched and/or mismatched systems with uncertainty matrices in which only their matrix norms are bounded by some prescribed values and/or their entries are bounded by some prescribed constraint sets. Several numerical examples are presented to illustrate the results.
Document ID
19900060700
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Shieh, L. S. (Houston, University TX, United States)
Sunkel, J. W. (NASA Johnson Space Center Houston, TX, United States)
Wang, Y. J. (Houston Univ. TX, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 90-3509
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference