Semiglobal stabilization of linear discrete-time systems subject to input saturation, via linear feedback-an ARE-based approach

We revisit the problem of semiglobal stabilization of linear discrete-time systems subject to input saturation and give an algebraic Riccati equation (ARE)-based approach to the proof of a fact established earlier (Lin and Saberi, 1995), i.e. a linear discrete-time system subject to input saturation...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1996-08, Vol.41 (8), p.1203-1207
Main Authors: Zongli Lin, Saberi, A., Stoorvogel, A.A.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Design methodology
Exact sciences and technology
Feedback control
Feeds
Linear feedback control systems
Linear systems
Mathematics
Nonlinear control systems
Open loop systems
Riccati equations
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Summary:We revisit the problem of semiglobal stabilization of linear discrete-time systems subject to input saturation and give an algebraic Riccati equation (ARE)-based approach to the proof of a fact established earlier (Lin and Saberi, 1995), i.e. a linear discrete-time system subject to input saturation is semiglobally stabilizable via linear feedback as long as the linear system in the absence of the saturation is stabilizable and detectable and all its open-loop poles are located inside or on the unit circle. Moreover, we drastically relax the requirements on the characteristic of the saturation elements as imposed in the earlier work.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.533685