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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2003

Finite Gain lp Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation The Case of p = 1

Yacine Chitour

Résumé

It has been established by Bao, Lin, and Sontag (2000) that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain lp stabilization can be achieved by linear output feedback, for every p ∈ (1, ∞] except p = 1. An explicit construction of the corresponding feedback laws was given. The feedback laws constructed also resulted in a closed-loop system that is globally asymptotically stable. This note complements the results of Bao, Lin, and Sontag (2000) by showing that they also hold for the case of p = 1. In establishing our results for p = 1, we also allow the presence of certain additional external disturbance.
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hal-02320846 , version 1 (19-10-2019)

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Yacine Chitour, Zongli Lin. Finite Gain lp Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation The Case of p = 1. IEEE Transactions on Automatic Control, 2003, 48 (12), pp.2196-2198. ⟨10.1109/TAC.2003.820142⟩. ⟨hal-02320846⟩

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