Performing a model order reduction including initial conditions

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Richard 2011-9-19

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/16143-performing-a-model-order-reduction-including-initial-conditions

I've been attempting to reduce the order of a state space model, for example:

sys=ss(A,B,C,D)

sys_reduced=reduce(sys,10)

which works fine, but does anyone know how to calculate the initial conditions for this reduced system (assuming the initial system had initial conditions)

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Richard 2012-7-18

To answer my own question:

The function [ModelNew,g,T,Ti]=balreal(modelOld) gives a new model which has as many states as the old model BUT they are in decending order of importance. It also gives g which shows how important each state is and T which transforms the old model into the new WHICH CAN ALSO BE USED TO TRANSFORM THE INITIAL CONDITIONS, Ti is the reverse transform

newIntialConditions=T*OldIntialConditions;

modred can then be used to reduce the model order to whatever you want

ReducedModel=modred(BallencedModel,ReduceStatesTo:NumberOfStatesInOldModel);

The initial conditions must of course also be trimmed to the right number of states

http://www.mathworks.co.uk/help/toolbox/control/ref/balreal.html

Kaustubha Govind 2012-7-18

Richard: Thanks for coming back to the forum with your answer. Could you perhaps post this as an answer instead of as a comment. Feel free to accept your own answer.

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Answer 1

Richard 2013-2-26

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/16143-performing-a-model-order-reduction-including-initial-conditions#answer_76574

To answer my own question:

The function [balancedModel,g,T,Ti]=balreal(modelOld) gives a new model which has as many states as the old model BUT they are in decending order of importance. It also gives g which shows how important each state is and T which transforms the old model into the new WHICH CAN ALSO BE USED TO TRANSFORM THE INITIAL CONDITIONS, Ti is the reverse transform

newIntialConditions=T*OldIntialConditions;

modred can then be used to reduce the model order to whatever you want

ReducedModel=modred(ballancedModel,ReduceStatesTo:NumberOfStatesInOldModel);

The initial conditions must of course also be trimmed to the right number of states

http://www.mathworks.co.uk/help/toolbox/control/ref/balreal.html