Numerical algorithms and issues concerning the discrete-time optimal projection equations for systems with white parameters

1998 ◽  
Author(s):  
W.L. De Koning
Keyword(s):  
Discrete Time ◽  
Numerical Algorithms ◽  
Optimal Projection ◽  
Time Optimal ◽  
Projection Equations

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.

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