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

Yacine Chitour (1) , Zongli Lin (2)

1 Département de Mathématiques [ORSAY]
2 University of Virginia

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.

Mots clés: Actuators; Closed loop control systems; Control equipment; Discrete time control systems; Feedback; Stabilization; Linear systems; Actuator saturation; Linear output feedback

Domaines: Mathématiques [math]

Yacine Chitour, Zongli Lin. Finite Gain lp Stabilization of Discrete-Time Linear Systems Subject to Actuator Saturation The Case of p = 1. 42nd IEEE Conference on Decision and Control, Dec 2003, Maui, United States. pp.5663-5666, ⟨10.1109/CDC.2003.1271906⟩. ⟨hal-02320854⟩