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Finite gain stabilization of discrete-time linear systems subject to actuator saturation

✍ Scribed by Xiangyu Bao; Zongli Lin; Eduardo D. Sontag

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
36
Category
Article
ISSN
0005-1098

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✦ Synopsis

It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, "nite gain l N stabilization can be achieved by linear output feedback, for all p3(1,R]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.

πŸ“œ SIMILAR VOLUMES

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We present a method to estimate the domain of attraction for a discrete-time linear system under a saturated linear feedback. A simple condition is derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. Moreover, the condition can be express

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For a linear system under a given saturated linear feedback, we propose feedback laws that achieve semi-global stabilization on the null controllable region while preserving the performance of the original feedback law in a ΓΏxed region. Here by semi-global stabilization on the null controllable regi

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## Abstract In this paper, we consider the H~∞~ control problem of discrete‐time linear systems subject to input saturation. Some sufficient conditions are derived which make the closed‐loop system satisfy local asymptotically stability and the H~∞~ performance prior given. According to these suffi