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

• Published in: IEEE transactions on automatic control Vol. 41; no. 8; pp. 1203 - 1207
• Main Authors: Zongli Lin, Saberi, A., Stoorvogel, A.A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.1996; Institute of Electrical and Electronics Engineers
• 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; Linear system; Feedback system; Saturation; Control system; Algebraic equation; System synthesis; Discrete system; Riccati equation
• ISSN: 0018-9286
• DOI: 10.1109/9.533685

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.