Revisited Jury-Lee criterion for multivariable discrete-time Lur'e systems: Convex LMI search

2012 ◽  
Author(s):  
N. Syazreen Ahmad ◽  
J. Carrasco ◽  
W.P. Heath
Keyword(s):  
Discrete Time ◽  
Lur’E Systems

INVARIANT SETS FOR A CLASS OF DISCRETE-TIME LUR'E SYSTEMS

2005 ◽  
Vol 38 (1) ◽  
pp. 91-96
Author(s):  
A. Cepeda ◽  
T. Alamo ◽  
E.F. Camacho
Keyword(s):  
Discrete Time ◽  
Invariant Sets ◽  
Lur’E Systems

scholarly journals Semi-global incremental input-to-state stability of discrete-time Lur’e systems

2020 ◽  
Vol 136 ◽  
pp. 104593
Author(s):  
Max E. Gilmore ◽  
Chris Guiver ◽  
Hartmut Logemann
Keyword(s):  
Discrete Time ◽  
Lur’E Systems

Synchronization of discrete-time Lur’e systems under saturating control

2018 ◽  
Author(s):  
Antonio Zani ◽  
Jeferson V. Flores ◽  
Micael Fischmann ◽  
Joao Manoel Gomes da Silva
Keyword(s):  
Discrete Time ◽  
Lur’E Systems ◽  
Saturating Control

Preview tracking control for discrete-time nonlinear Lur’e systems with sector-bounded nonlinearities

2018 ◽  
Vol 41 (10) ◽  
pp. 2726-2737 ◽  
Author(s):  
Xiao Yu ◽  
Fucheng Liao
Keyword(s):  
Discrete Time ◽  
Tracking Control ◽  
Tracking Error ◽  
Original System ◽  
Auxiliary Variable ◽  
Lur’E Systems ◽  
Reference Information ◽  
Lpv System ◽  
The Difference ◽  
System States

In this paper, the problem of preview tracking control for a class of discrete-time nonlinear Lur’e systems is investigated. To overcome the difficulty arising from the sector nonlinearity, the original system is transformed into a linear parameter varying (LPV) system, and a new auxiliary method is introduced. The difference between the state vector and the auxiliary variable is used instead of the usual difference between system states. At the same time, the tracking error and the previewable future reference information are also considered in order to construct an augmented error system (AES). Then, the preview tracking problem is reduced to a robust control problem. Note that the AES is still an LPV system. Next, a state feedback controller is developed to ensure that the closed-loop system is asymptotically stable with H∞ guaranteed cost performance. Based on this, a preview controller for the original system is proposed. Finally, two numerical examples are provided to illustrate the effectiveness of the controller.

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