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This project is supported by the Estonian Doctoral School in ICT under interdisciplinary project “FOMCON” and Estonian Science Foundation under grant nr. 8738.
12 Comments
Respected Sir
i want to know can we add our program for optimization in it or not for any fractional order transfer function
please suggest us
Yes, this is possible. Please note, that optimization based tuning for models of the form
\begin{eqnarray}
G(s)=\frac{b_{m}s^{\beta_{m}}+b_{m1}s^{\beta_{m1}}+\cdots+b_{0}s^{\beta_{0}}}{a_{n}s^{\alpha_{n}}+a_{n1}s^{\alpha_{n1}}+\cdots+a_{0}s^{\alpha_{0}}}.
\tag{1}\end{eqnarray}
is already implemented in the optimization tool.
Dear Aleksei,
Is there any toolbox available for tuning of fraction order leadlag controller in matlab environment?
if there is…. please give the details.
thanks in advance
While designing fractional order controller for a conical tank system( linearized conical tank transfer function, for that I performed pade approximation), the final controller equation have negative coefficients in denominator. Is there any problem in stability because of that, since negative poles leads to instability.
Sir, How to use fomcon for following transfer function:
:
G(s)=(25)/(s^22180)
Dear Alexsei,
How can I plot step response of a “delayed” fractional order system? in Simulink, I have used frac Tf(s) block but I can’t use delay block (z^1) with it to add the delay to plan. also my delay value is not an integer value.
Thanks.
Use the Transport Delay block.
Dear Aleksei
I have problem in mobile robot control with FOPID controller optimization in PSO algorithm if the sampling time 0.5 the simulation is stopped but if the sampling time 0.001 the simulation is run with out problem
How can I run the simulation with sampling time 0.5
Dear sir:
i have a simulink model and i tried to use the toolbox for tuning the FOPID controller parameters’. An error is always appeared
?? Attempted to access y_sim_all(:,1); index out of bounds because size(y_sim_all)=[0,0].
Error in ==> fpid_optimize_sim at 175
y = y_sim_all(:,1); % System response
Error in ==> fpid_optimfun at 80
[y, ~, t] = fpid_optimize_sim([Kp,Ki,lam,Kd,mu], …
Error in ==> fpid_optimize>@(x)fpid_optimfun(x,G,opt) at 292
x_opt = fmincon(@(x) fpid_optimfun(x,G,opt), …
Error in ==> fmincon at 574
initVals.f = feval(funfcn{3},X,varargin{:});
Error in ==> fpid_optimize at 292
x_opt = fmincon(@(x) fpid_optimfun(x,G,opt), …
Error in ==> fpid_optim>btnOptimize_Callback at 270
[Kp Ki Kd lam mu Z] = fpid_optimize(fsim, fopt, [], usesim);
Error in ==> gui_mainfcn at 96
feval(varargin{:});
Error in ==> fpid_optim at 24
gui_mainfcn(gui_State, varargin{:});
Error in ==>
@(hObject,eventdata)fpid_optim(‘btnOptimize_Callback’,hObject,eventdata,guidata(hObject))
Caused by:
Failure in initial usersupplied objective function evaluation. FMINCON cannot continue.
??? Error while evaluating uicontrol Callback
Your Simulink model does not correctly specify an output which is to be used for optimization.
Please use the GUI for the fpid_optim() tool to create a new model and see how it is configured.
Dear Aleksei,
Is it possible to convert oustaloup refined filter object (zpk) to the state space format (frac_ss) or to fotf object format.
I am looking forward to hearing from you soon.
Victor
If you want to convert a simple FO operator approximation, then the procedure is straightforward.
However, for more complicated objects there is no direct way for getting back the FO description. You can consider frequency domain identification since the complete response is known.