Finite gain l/sub p/ stabilization of discrete-time linear systems subject to actuator saturation: the case of p = 1

Author(s):  
Y. Chitour ◽  
Zongli Lin
Automatica ◽  
2000 ◽  
Vol 36 (2) ◽  
pp. 269-277 ◽  
Author(s):  
Xiangyu Bao ◽  
Zongli Lin ◽  
Eduardo D. Sontag

2011 ◽  
Vol 71-78 ◽  
pp. 4256-4260
Author(s):  
Hong Bo Zou ◽  
Hui Hui Feng ◽  
Xiao Dong Zhao

The problem of output feedback for the unstable discrete-time linear systems with input amplitude constraints is studied. Based on the precise description of controllable region, the typical implementation method of observer-based output feedback will decrease the system’s controllable region, a new approach is proposed in this paper, which make the system’s controllable domain as big as possible. Finally, two illustrative examples and simulation results are given to demonstrate the effectiveness of the proposed method.


2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
A. Benzaouia ◽  
F. Mesquine ◽  
A. Hmamed ◽  
H. Aoufoussi

This paper presents sufficient conditions of asymptotic stability for discrete-time linear systems subject to actuator saturations with an output feedback law. The derived stability results are given in terms of LMIs. A new proof is presented to obtain previous conditions of asymptotic stability. A numerical example is used to illustrate this technique by using a linear optimization problem subject to LMI constraints.


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