Model-Order Reduction Usage of Stability Equation Method Designed for Discrete-Time Systems

Author(s):  
D. K. Sambariya ◽  
Trishla Sharma
2018 ◽  
Vol 36 (4) ◽  
pp. 1105-1131 ◽  
Author(s):  
Salim Ibrir

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.


2021 ◽  
Vol 30 (4) ◽  
pp. 729-738
Author(s):  
S. Batool ◽  
M. Imran ◽  
M. Imran ◽  
E. Elahi ◽  
A. Maqbool ◽  
...  

2020 ◽  
Vol 41 (2) ◽  
pp. 661-668
Author(s):  
Aditya Prasad Padhy ◽  
Varsha Singh ◽  
Vinay Pratap Singh

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