Nonlinear control design for open-loop unstable quadratic discrete-time systems

Author(s):  
Carlos E. de Souza ◽  
Daniel Coutinho
2014 ◽  
Vol 1006-1007 ◽  
pp. 711-714
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang

This paper investigates the problems of stability analysis and stabilization for a class of switched fuzzy discrete-time systems. Based on a common Lyapunov functional, a switching control method has been developed for the stability analysis of switched discrete-time fuzzy systems. A new stabilization approach based on a switching parallel distributed compensation scheme is given for the closed-loop switched fuzzy systems. Finally, the illustrative example is provided to demonstrate the effectiveness of the techniques proposed in this paper.


2000 ◽  
Vol 122 (4) ◽  
pp. 793-802 ◽  
Author(s):  
A. Jafari Koshkouei ◽  
A. S. I. Zinober

In discrete-time systems, instead of having a hyperplane as in the continuous case, there is a countable set of points comprising a so-called lattice; and the surface on which these sliding points lie is the latticewise hyperplane. In this paper the concept of multivariable discrete-time sliding mode is clarified and new sufficient conditions for the existence of the sliding mode are presented. A new control design using the properties of discrete sliding is proposed, and the behavior of the system in the sliding mode is studied. Furthermore, the stabilization of discrete-time systems and an optimal sliding lattice are considered. [S0022-0434(00)02804-5]


2013 ◽  
Vol 23 (04) ◽  
pp. 1350059 ◽  
Author(s):  
FANGFEI LI ◽  
JITAO SUN

The synchronization for two k-valued logical networks of the same dimensions is studied in this paper. First, based on the theory of semi-tensor product of matrices, the master-slave systems (two k-valued logical networks) are converted into discrete-time systems. Second, both open-loop control and feedback control are provided to make the slave network synchronize with the master k-valued logical network. Finally, examples are provided to illustrate the efficiency of the obtained results.


2011 ◽  
Vol 44 (1) ◽  
pp. 10150-10155 ◽  
Author(s):  
André F. Caldeira ◽  
Valter J.S. Leite ◽  
Márcio F. Miranda ◽  
Michelle F.F. Castro ◽  
Eduardo N. Gonçalves

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