It's possible you could reparameterize to make it work. Could you provide a specific example?

You're welcome, glad to help!

@@drgregoryreeves i have some experimental data of 3 variables and I have to determine Kcat using the non-linear regression. I don't know if i can share the table with you. Can you help with that?

Ya, great question. You could keep the "2" in there, but since we are ultimately solving for F = 0, the "2" can also be dropped.

I am not sure how much more I can tell you about ISE except what is in the video. Can you describe your question in a posted comment? Thanks!

@@drgregoryreeves sir I have red ISE help in reducing overshoot and rise time. I am designing aco optimized fopid controller to reduce harmonics of AC. And ISE is the objective function. Can u tell me how it helps in reducing rise time or overshoot.

@@usmaniftikhar4711 Minimizing ISE should help with both of those, but it is only one objective function, and minimizing those two parameters might work better with a different objective function. Do you know the behavior of your system analytically? Or, do you have an accurate model of your system?

@@drgregoryreeves Sir I am going to reduce harmonics in active power of solar plant. When it passes through invertor to covert into AC, harmonics generated in it so use fopid controller to minimize harmonics in active power . Fopid controller reference wattage is 10 watt and suppose if actual power become 15 watt due to harmonics, controller will give signal to invertor in order to minimize the difference or error. so can u tell me which is best objective in this case which can overcome rise time, settling time and overshoots

@@usmaniftikhar4711 My first guess is IAE. But I think the best thing to do is try multiple simulations to see what works the best. That's why I asked if you had a good model of your system.

If you have an overdetermined system, fsolve can still work with it, but it will try to do some sort of optimization to get the best fit values of your unknown that minimizes your 10 equations in some way. I am not 100% sure how that works, since I've only tried to use fsolve with square systems. Are you trying to do an optimization problem?

@@GregReeves1520 no, I'm dealing with trim analysis of an aircraft in forward flight and trying to find the unknowns from dynamic equations. Thanks for your reply I will try f solve first

No problem!

@@anggitwijanarko5164 , in order to find a transfer function for the pH sensor, you'll first need to figure out how to model it in the time domain. For example, in the screencast, temperature sensors can be modeled as first order ODEs, and analyzer sensors as pure time delays. What would be a good model for the dynamics of your pH sensor?

@@anggitwijanarko5164 I don't think that's a good idea, but you can either approximate your data as first order (an exponential) or an FOPDT if you think there's deadtime, and you can follow what's on that video.

Great!

No problem!

You can convert your equation to the form f(X) = 0 by moving the lone Y on the LHS to the RHS. Then, in that form, you can run a for loop to use fzero to solve for Y for every X in your mesh. Alternatively, you could use fsolve once instead of fzero in a for loop...that might work too. Let me know if you have other questions. Once you have a value of Y for every value of X, you can plot(X,Y).

​@@criccenter9619, when you say "unable to get answer", does that mean you can't get any kind of solution? Or is it that you are not getting the solution you expect? Because your code looks good, syntax-wise. The only thing is that in your first post, you had a "Y" on the LHS of your equation, but that "Y" is gone in your second post. If the first post is correct, you should move that "Y" from the LHS to the RHS, so it appears as a "-Y" in the RHS of the "S" equation in your function. Did that help? Let me know!

I will look into the feasibility of making my sheets available through some platform. In the meantime, if you can figure out how to DM me, you can have the sheet!

Hi, happy to help. Can you clarify? Are you running into problems that are not helped by this video? fsolve can, in principle, handle a 12x12 system, but it may be difficult and you might need to use a very good initial guess. Have you already tried to program a script and function to use fsolve on your system? What did you find? Was there a particular error?

@@GregReeves1520 yes sir I tried using fsolve. That shows error. The equation not solved! I also tried Newton raphson method but the roots are coming to be same as my initial guesses.

@@saddamhussainsoomro2810 If you have already taken the time to write a Newton's method code to solve the problem, I would focus on that. So you wrote a while loop that quits when either "f" or "delta_x" (or both) become small (say, 1e-6). In each iteration of the loop, you need to evaluate "f", calculate the Jacobian "J", then take a newton step of "delta_x = -J \ f; x = x + delta_x;" Correct? How many iterations are happening in the while loop? If your solution is the same as your initial guess, then my guess is that either you are not entering the while loop correctly, or within the while loop, you are not updating your value of x. Thoughts?

@@GregReeves1520 sir can you send me email I will send you my code

@@saddamhussainsoomro2810 I am not planning on posting my email publicly here, but you can google me, and you can probably find me on an NC State website.

Rohit, I have to apologize! I did not ever make that video, and I posted this video 7 years ago...I am afraid I have lost my notes for the continuation part. If you are interested in what might come next, I encourage you to read Chapter 8 for Felder, Rousseau, and Bullard!

Although I can tell you that you will have to use heat capacity. Roughly, Delta_H = n*Cp*Delta_T. The book (or your instructor) may ask you to do a fairly complicated integral to get Cp as a function of temperature, but most of the time, you can assume Cp is a constant with respect to temperature. As always, you'll need to keep very good track of all the terms. You'll need a Cp for each phase of each species. Good luck!

Thank you sir for your valuable reply

​@@deekshith280 Did you find the answers?

U dey e for

You're welcome!