Model order reduction of continuous time systems using pole clustering and Chebyshev polynomials

2012 ◽  
Author(s):  
Vinay Pratap Singh ◽  
Prateek Chaubey ◽  
D. Chandra
Keyword(s):  
Chebyshev Polynomials ◽  
Continuous Time ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Model Order ◽  
Continuous Time Systems ◽  
Time Systems

Order reduction mechanism for large-scale continuous-time systems using substructure preservation with dominant mode

Sadhana ◽  
2020 ◽  
Vol 45 (1) ◽  
Author(s):  
Sharad Kumar Tiwari ◽  
Piyush Samant ◽  
Madhusudan Shinhmar ◽  
Gagandeep Kaur
Keyword(s):  
Continuous Time ◽  
Large Scale ◽  
Order Reduction ◽  
Dominant Mode ◽  
Reduction Mechanism ◽  
Continuous Time Systems ◽  
Time Systems

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
Sign in / Sign up

Export Citation Format

Share Document