riccati_rb_simulation.m File Reference

sim_data = riccati_rb_simulation(model, reduced_data) This function performs a reduced basis simulation. The solution to the reduced ARE is calculated by calling the function "care". More...

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Functions
function sim_data =	riccati_rb_simulation (model, reduced_data)
	sim_data = riccati_rb_simulation(model, reduced_data) This function performs a reduced basis simulation. The solution to the reduced ARE is calculated by calling the function "care". More...

Detailed Description

sim_data = riccati_rb_simulation(model, reduced_data) This function performs a reduced basis simulation. The solution to the reduced ARE is calculated by calling the function "care".

Definition in file riccati_rb_simulation.m.

Function Documentation

function sim_data = riccati_rb_simulation	(		model,
			reduced_data
	)

sim_data = riccati_rb_simulation(model, reduced_data) This function performs a reduced basis simulation. The solution to the reduced ARE is calculated by calling the function "care".

The resulting structure sim_data contains the following fields

PN ...................... The reduced solution (N x N dimensional) time.solve .............. Time for solving the reduced equation time.estim .............. Time for the estimation procedure time.residual ........... Time for the residual calculation time.total .............. Total time for the whole rb simulation P_residual .............. Frobenius norm of the residual P_residual_normalized ... Frobenius norm of the residual, normalized

Additionally, if model.RB_enable_estimator is true, the structure

estim is added to the structure, containing the following fields

valid ................... 1/0 stating if the validity bound is valid validity_bound .......... Value of the validity bound bound ................... The error bound normPN .................. Norm of the reduced solution matrix W PN W' bound_relative .......... The relative error bound Delta_P(mu)/|| P ||

Andreas Schmidt, 2015

Parameters

model	model
reduced_data	reduced data

Return values

sim_data

sim data

Required fields of model:

• RB_enable_estimator —  RB enable estimator
• E —  E
• B —  B

Required fields of reduced_data:

• estim.normE —  estim.normE
• estim.normBBT_use2norm —  estim.normBBT use2norm
• estim.normBBT —  estim.normBBT

Generated fields of sim_data:

• PN —  PN
• P_residual —  P residual
• P_residual_normalized —  P residual normalized
• estim.gamma —  estim.gamma
• estim.validity_bound —  estim.validity bound
• estim.valid —  estim.valid
• estim.bound —  estim.bound
• estim.bound2 —  estim.bound2
• estim.normPN —  estim.normPN
• estim.bound_relative —  estim.bound relative
• estim.bound_relative2 —  estim.bound relative2
• time —  time

Definition at line 17 of file riccati_rb_simulation.m.

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