Robust control for linear uncertain systems via linear quadratic state feedback

By the Lyapunov stability criterion and the algebraic Riccati equation, conditions of selecting the weighting matrices in the quadratic cost function are derived so that linear quadratic state feedback can exponentially stabilize a linear uncertain system, provided the uncertainties satisfy the so-c...

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Bibliographic Details
Published in:Systems & control letters 1990-09, Vol.15 (3), p.199-205
Main Author: Tsay, Shuh-Chuan
Format: Article
Language:English
Subjects:
Exponentially stabilizable
linear quadratic state feedback
matching conditions
robust controller
weighting matrices
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Summary:By the Lyapunov stability criterion and the algebraic Riccati equation, conditions of selecting the weighting matrices in the quadratic cost function are derived so that linear quadratic state feedback can exponentially stabilize a linear uncertain system, provided the uncertainties satisfy the so-called matching conditions and within a given bounding set. Furthermore, two simple but effective algorithms are proposed for systematically selecting the weighting matrices. The main features of this approach are that the uncertain system can be exponentially stabilized with prescribed exponential rate and no precompensator is needed. Two examples are given to illustrate the results.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(90)90112-8