A new approach to the zero-dynamics assignment problem for nonlinear discrete-time systems using functional equations

2004 ◽  
Vol 51 (3-4) ◽  
pp. 311-324 ◽  
Author(s):  
Nikolaos Kazantzis
Keyword(s):  
Discrete Time ◽  
Assignment Problem ◽  
Functional Equations ◽  
Zero Dynamics ◽  
New Approach ◽  
Discrete Time Systems ◽  
Time Systems

Adaptive Control of Discrete-Time Systems with Unknown, Unstable Zero Dynamics

2020 ◽  
Author(s):  
Syed Aseem Ul Islam ◽  
Tam W. Nguyen ◽  
Ilya V. Kolmanovsky ◽  
Dennis S. Bernstein
Keyword(s):  
Adaptive Control ◽  
Discrete Time ◽  
Zero Dynamics ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
El-Sayed M. E. Mostafa ◽  
Abdallah W. Aboutahoun ◽  
Fatma F. S. Omar
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Minimization Problem ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Assignment Problem ◽  
Local Solution ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Eigenvalue Assignment

The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a logarithmic barrier method is proposed for finding the local solution. The conjugate gradient method is further extended to tackle the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay. The performance of the methods is illustrated through various test examples.

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