scholarly journals H2 Optimal Model Order Reduction Method Based on the Cross-Gramian for Discrete-Time Systems

2018 ◽  
Vol 07 (04) ◽  
pp. 316-322
Author(s):  
兆鸿 王
Keyword(s):  
Discrete Time ◽  
Model Order Reduction ◽  
Reduction Method ◽  
Order Reduction ◽  
Optimal Model ◽  
Model Order ◽  
Discrete Time Systems ◽  
The Cross ◽  
Order Reduction Method ◽  
Time Systems

Discrete-time least-squares Padé order reduction: A stability preserving method

1998 ◽  
Vol 212 (1) ◽  
pp. 49-56 ◽  
Author(s):  
T N Lucas ◽  
I D Smith
Keyword(s):  
Least Squares ◽  
Discrete Time ◽  
Reduction Method ◽  
Order Reduction ◽  
Model Parameter ◽  
Discrete Time Systems ◽  
The Stability ◽  
Order Reduction Method ◽  
Preservation Property ◽  
Time Systems

A new stability preservation property is proved for the least-squares Padé order reduction method when applied to discrete-time systems. It is shown that the property depends on which free reduced model parameter is chosen to be unity. Clarification is also given on how the system is actually approximated using this method. An example illustrates the enhanced appeal of the method as a result of the stability preservation property.

Optimal projection methods for model order reduction of discrete-time systems

2018 ◽  
Vol 36 (4) ◽  
pp. 1105-1131 ◽  
Author(s):  
Salim Ibrir
Keyword(s):  
Discrete Time ◽  
Model Order Reduction ◽  
Numerical Algorithms ◽  
Order Reduction ◽  
Order System ◽  
Model Order ◽  
Reduced Order ◽  
Discrete Time Systems ◽  
Optimal Projection ◽  
Time Systems

AbstractNumerical algorithms are developed for model order reduction of discrete-time systems using both optimal projection and $H_2$-norm minimization. The state-space matrices of the reduced-order system are obtained via the solution of a convex optimization problem. Subsequently, the results are exploited for the design of non-linear reduced-order systems verifying the input-to-state stability property. Proofs of stability and error approximation bounds are provided along with numerical simulations to highlight the strengths and the validity of the theoretical results.

scholarly journals Development of an Improved Frequency Limited Model Order Reduction Technique and Error Bound for Discrete-Time Systems

2021 ◽  
Vol 30 (4) ◽  
pp. 729-738
Author(s):  
S. Batool ◽  
M. Imran ◽  
M. Imran ◽  
E. Elahi ◽  
A. Maqbool ◽  
...  
Keyword(s):  
Error Bound ◽  
Discrete Time ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Reduction Technique ◽  
Model Order ◽  
Discrete Time Systems ◽  
Time Systems
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