scholarly journals Eigenvalue assignment for componentwise ultimate bound minimisation in LTI discrete-time systems

2013 ◽  
Author(s):  
Rahmat Heidari ◽  
Maria M. Seron ◽  
Julio H. Braslavsky ◽  
Hernan Haimovich
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Ultimate Bound ◽  
Eigenvalue Assignment

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.

Robust H∞ Dynamic State-Feedback Control for Nonlinear Discrete-Time Systems via LMI-Based Regional Eigenvalue Assignment

2016 ◽  
Author(s):  
W. Alexander Baker ◽  
Susan C. Schneider ◽  
Edwin E. Yaz
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Controller Design ◽  
Linear Part ◽  
The State ◽  
State Feedback Control ◽  
Dynamic State ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Eigenvalue Assignment

This paper uses Linear Matrix Inequality (LMI) techniques to apply regional eigenvalue assignment constraints to a dynamic state-feedback controller design for discrete-time systems with vanishing nonlinear perturbations. The controller design also incorporates the H∞ performance criterion. The regional eigenvalue assignment place the eigenvalues of the linear part of the system in two distinct regions, one region for the controller eigenvalues and one region for the observer eigenvalues, in such a way that the state estimation error goes to zero significantly faster than the state reaches steady state.

Global Constrained Holdability of Discrete Time Systems

1986 ◽  
Author(s):  
Robert P. Van Til ◽  
William E. Schmitendorf
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems
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