my model is representing a fuel cell connecting grid using and optimization technique to get the optimum kp and ki in order to get the optimum current from the fuel cell and the optimization method used is GTO and now $1-$ i am having an error in the matlab code of the GTO so i need from you the correction of code in order to link GTO to my fuel cell model and it could be read the error is at the line of $"$ if ~ischar$($F$)"2-$ i am having an error in the model of the fuel cell for the blocks kp and ki and i need to solve the error as seen and i want to know the correct setting for these constant blocks kp and ki please guide me with the exact setting alignment to remove the error of the blocks $3-$ i think am having a problem for making the $2$ files the m file and the model to read each other, please tell be step by step how to solve each problem $,$ i had attached a picture of the error, the model and the m file and copied to you the code in the m file and i waiting from you step by step and exact and specific $,$ answer how to solve the error that appear and how to make both files read each other $($need the exact steps and matlab code$)$ please find the attached picture and atttached code below of m file

function $[$lb$,$ ub$,$ dim, fobj$]=$ ObjectiveFunction$($F$)$

$\%$ Check if input F is a string

if ~ischar$($F$)$

error$(\text{'}$Input F must be a string, e$.$g$.,\text{'}\text{'}$F$1\text{'}\text{'}.\text{'})$;

end

$\%$ Handle different cases of F

switch F

case $\text{'}$F$1\text{'}$

fobj $=$@F$1$; $\%$ Define the objective function handle

lb $=[11000]$; $\%$ Lower bound of Kp and Ki

ub $=[107000]$; $\%$ Upper bound of Kp and Ki

dim $=2$; $\%$ Number of variables to optimize

$\%$ Define time points and data

time $=[0246810]$; $\%$ Time points

Kp$\_$values $=[123456]$; $\%$ Kp data

Ki$\_$values $=[100020003000400050006000]$; $\%$ Ki data

$\%$ Create time$-$series objects

Kp$\_$data $=$ timeseries$($Kp$\_$values, time$)$;

Ki$\_$data $=$ timeseries$($Ki$\_$values, time$)$;

$\%$ Save these variables in the MATLAB workspace

assignin$(\text{'}$base$\text{'},\text{'}$Kp$\_$data', Kp$\_$data$)$;

assignin$(\text{'}$base$\text{'},\text{'}$Ki$\_$data', Ki$\_$data$)$;

otherwise

error$(\text{'}$Invalid input for F$.$ Supported value: $\text{'}\text{'}$F$1\text{'}\text{'}.\text{'})$;

end

end

$\%$ Define F$1($Objective Function$)$

function Y $=$ F$1($X$)$

global Kp Ki

Kp $=$ X$(1)$; $\%$ Assign first variable to Kp

Ki $=$ X$(2)$; $\%$ Assign second variable to Ki

$\%$ Simulate the Simulink model

simOut $=$ sim$(\text{'}$power$\_$SOFC$11.$slx$\text{'},$ 'SimulationMode', 'normal', $...$

'StopTime', $\text{'}10\text{'},...\%$ Ensure this matches your model's configuration

'SaveOutput', $\text{'}$on$\text{'},...$

'OutputSaveName', $\text{'}$Y$\text{'})$;

$\%$ Extract the performance metric $($current error, etc.$)$

simData $=$ simOut.get$(\text{'}$Y$\text{'})$; $\%$ Ensure $\text{'}$Y$\text{'}$ matches the variable configured in the model

Y $=$ trapz$($simData$.^2)$; $\%$ Example: Use the integral of squared error

end

Unsupported input format for From Workspace block 'power SOFC$11/$From Workspace'. Available formats at double non$-$complex matrix, a structure with or wit time, or a structure with MATLAB timeseries as leat nodes. All formats require the data to be finite $($ I Inf or NaN$).$

Component: Simulink $|$ Category: Model error

Unsupported input format for From Workspace block

Parameters

Data:

Kp$\_$data

Output data type: Inherit: auto

Sample time $(-1$ for inherited$)$:

$\backslash (-1\backslash )$

Interbolate data

OK Cancel

Help

are 'power SOFC$11/$From Workspace$1\text{'}.$ Available formats are time, or a structure with MATLAB timeseries as leaf nodes. All formats require the data to be finite $($not Inf or NaN$).$

Component: Simulink $|$ Category: Model error

$3$ Editor $-$ Hi$\backslash$mayar$\backslash$university$\backslash$masters$\backslash$Thesis$\backslash$Metaheustric techniques$\backslash$GTO$\backslash$GTO$\backslash$ObjectiveFunction$.$m$*$

$```$

GTO.m

main.m

x

ObjectiveFunction.m$*$

main.m

initialization.m

function $[$lb$,$ ub$,$ dim, fobj$]=$ ObjectiveFunction$($F$)$

$\%$ Check if input F is a string

if ~ischar$($F$)$

error$(\text{'}$Input F must be a string, e$.$g$.,\text{'}\text{'}$Fl$\text{'}\text{'}.\text{'})$;

end

$\%$ Handle different cases of F

switch F

case $\text{'}$Fl$\text{'}$

fobj $=$@Fl; $\%$ Define the objective function handle

lb $=[11000]$; & Lower bound of Kp and Ki

ub $=[107000]$; $\%$ Upper bound of Kp and Ki

dim $=2$; $\%$ Number of variables to optimize

$\%$ Define time points and data

time $=[$llllll

Kp$\_$values $=[$llllll

Ki$\_$values $=[100020003000400050006000]$; $\%$ Ki data

$\%$ Create time$-$series objects

Kp$\_$data $=$ timeseries$($Kp$\_$values, time$)$;

Ki$\_$data $=$ timeseries$($Ki$\_$values, time$)$;

$\%$ Save these variables in the MATLAB workspace

assignin$(\text{'}$base$\text{'},\text{'}$Kp$\_$data', Kp$\_$data$)$;

assignin$(\text{'}$base$\text{'},\text{'}$Ki$\_$data', Ki$\_$data$)$;

otherwise

error$(\text{'}$Invalid input for F$.$ Supported value: $\text{'}\text{'}$Fl$\text{'}\text{'}.\text{'})$;

end

end

$\%$ Define Fl $($Objective Function$)$

~unction Y $=$ Fl$($X$)$

global Kp Ki

Kp $=$ X$($l$)$; $\%$ Assign first variable to Kp

Ki $=$ X$(2)$; $\%$ Assign second variable to Ki

$```$