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Solved Example | Fuzzy Control Systems - Part 2 | Fuzzy Logic
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- čas přidán 17. 08. 2024
- Topics Covered:
00:00 Introduction
00:26 Question
01:41 Brief recollection of the steps to design a fuzzy controller
02:20 Step 1 - Identify input and output variables
02:49 Step 2 - Assign each fuzzy subset a linguistic variable/descriptor
03:48 Step 3 - Obtain membership function for descriptors
13:48 Step 4 - Form fuzzy rule base
23:09 Step 5 - Fuzzification and evaluation of rules
30:27 Step 6 - Defuzzification
35:30 Conclusion
Oddur Bjarnason, Norway
I have now worked my way through your tutorials on fuzzy logic. Their quality is in my opinion very high. You have a fine command of English. Your knowledge of classical and fuzzy logic is obviously very good. You are an excellent teacher. The audio/video presentation of equations and images is excellent. I am amazed by your dexterity in writing equations and drawing illustrations.
I should be very interested in a tutorial about fuzzy logic conceptual maps.
Thank you very much.
Thank you so much for your kind words. It definitely made a huge impact for us. Kindly provide us suggestions where we can improve so that we can better our content. We will definitely try making a tutorial for the requested topic. Once again we thank you for your support! :)
@@Topperly no other tutor has helped demystify fuzzy logic like your--your talents as a talented teacher stand out. Kindly do a video on fuzzy cognitive maps alongside what Mr oddur above has requested. Gods Blessings and Rewards for your efforts-thanks for your patience with those of us who admire ur unique communication skills from the way you chose not to rush your explnanations.
The entire fuzzy logic playlist was very informative and well explained, helped me a lot! Thank You :)
Glad to hear that :)
Consider the fuzzy sets for a “high” concentration and a “fast” drainage rate as follows.
H ̃="High\""= {0/100+0.2/150+0.4/200+0.7/250+1/300} and
F ̃="Fast"= {0/0+0.3/2+0.6/4+1/6+0.8/8}
For the compound proposition, if the concentration within the tank is “high”, THEN the tank should drain at a “fast” rate. Find a fuzzy relation using classical implication.
her voice and the way she explaind are the reasons for watching this video 🔥🔥🔥🔥🔥🔥
What is the value of a,b,c,d for centroid for x2 bar
Just finished this wonderful playlist. Thank you ma'am for creating this... Helped me a lot. 🙏🙏💜
Glad to hear this :)
Thanks for videos. These are all helpful. Way to go !! Im waiting for other parts ( fuzzy classification )
Tomorrow is my fuzzy logics exam and i am very thankful to you for that great explanation.
Happy to help!
Hope your exams went well!
What is the value of a,b,c,d for centroid for x2 bar
In the last step i.e, defuzzification using the weighted average method denominators must be μx1,μx2 rather than x1bar,x2bar I guess.
Apologies, you are right, the formula should have the denominators as sum of the membership values. It should be ux1 and ux2. Thanks for pointing it out :)
@@Topperly Thank you for letting me clear.
What is the value of a,b,c,d for centroid for x2 bar
weighted avg cannot be applied i think bcoz the graph is not symmetric and denominator will contain the value of membership function at z
Would you please check your weighted average method formula. I think the denominators should be the membership values.
Apologies, you are right, the formula should have the denominators as sum of the membership values. Thanks for pointing it out :)
@@Topperly great explanation about fuzzy control, thank you, I also found the same question, besides, I tried you formula to calculate the x_bar, I found it maybe is 24.67, is it possible?
ur voice is lovely and ur explanations are clear ..... thank u very much
Glad to hear that :)
what is the main difference between Mamdani Fuzzy Inference System and Takagi-Sugeno Fuzzy Model (TS Method)?
Plz tell how the value of 'a' is calculated, in the centroid formula.
I have an exam
I am not being able to find out complete play list. Could you please provide the link?
How the value of A is calculated?
My god. Thank you so much..so so much.. god bless. you are the best..
Glad it helped!
Thanks, very awesome playlist, but where is Fuzzy associative memory lecture?
What is the value of a,b,c,d for centroid for x2 bar
But how do you map all the different enumerations when you have inputs and you want the output. If you are 'mapping input to outputs', does it mean you map out every enumeration to map each input setting to pre determine defuzzified waiting. So if you 4 variables you have to have 4 dimendional mesh to map? Thanks so much.
"The throttle position needs to be set to this value when temperature is this value and pressure is this value"... To achieve what?
Consider the linguistic variable ‘Age’. Let the term ‘old’ be defined by
μ_old (x)={█(0 if x∈[0,40]@(1+((x-40)/5)^(-2) )^(-1) if x∈[40,100])┤
Determine the membership functions of the term ‘very old’, ‘not very old’, ‘more or less old’.
Great content, great narration. Thanks a lot!!
Thank you :)
Sorry, I suppose the weighted average method only applies for the symmetric function so why you can apply it to an unsymmetric trapezoid.
Yes, you are right. Apologies for the error from our side. You can use any other defuzzification methods :)
I need the slides of that, and I need more examples please ❤
Very straight forward
Thank you :)
@@Topperlywhat is the value of a,b,c,d for centroid for x2 bar. Please respond
Well explained, Thank you.
Glad to hear that :)
subscribed. thank you a lot!
Very informative videos!
Thank you :)
Hello, thank you for your wonderful video. I'm still a bit confuse about the way to combine input fuzzy sets. Do temperature and pressure belong to 2 different universe? I understand that if 2 fuzzy sets belong to 1 universe, then we can use intersection or union to aggregate them. But if they belong to 2 different universe, how are they connected? Are the connection the same as what we do in implication process to find fuzzy relation between 2 different sets of 2 different universe? Thank you
Yes, we are considering 2 universes -temperature and pressure as inputs to a fuzzy controller and the output is the throttle setting of the steam turbine whose crisp value we are receiving by performing the Mamdani implication method and defuzzification.
@@Topperly Yes I understand that. But when you use the rule "If temperature is A and pressure is B", does it mean that you are finding the relation between 2 different fuzzy sets A and B (A and B belong to different universe)?
Yes, I'm basically mapping the inputs from two different universes to find the corresponding output which is also in another universe. This I'm doing with implication and the graphical inference method used here is Mamdani.
How to create graph of membership function ? Any links regarding the same
Hi Roli,
There's no systematic way to create a graph of membership function in real life. We should consult someone who has deep knowledge on system which we are going to model and using inputs from observations, we should create a graph that fits the data :)
Thanks for the video.. But in the end of the video, you were trying to do the defuzzification of a trapezoid using an equation. I am really concerned on how you get the data for variables in that equation from the given graph. I am unable to follow this.. can you give a clarification on this..
NB: I am telling about finding the centroid of both the trapeziums ..
Thanks in advance and Good work
each figure has it's own point(x,y) which is center of their gravity. We only care about x value of that point. if you ask about how to get a b c d values you can use math rule about traingles that are of the same shape but different sizes. if you know value of one side of each triangle you can use proportions to calcualate other sides. Sorry for bad english.
@@pawel12313 THANKS FOR THE REPLY but can you please say the values of a,b,c and d for the second trapezoid. I got it as a=36, b=45 c=9 d=0.2, pls confirm, i appreciate your time
@@pawel12313 also check out the solution at time 35.31, i think its wrong.
how come (1/5(67.937)/67.937) becomes 17???
There is a mistake in the formula. The denominator should be the sum of the membership values. Then you will get the answer as 17. Apologies for the mistake and thanks for pointing it out
@@Topperly Still I have the same doubt (1/5(67.937)/67.937).
the denominator sum will be 0+67.937 that is 67.937 itself.
the answer will still be 0.2
Can you please say the values of a,b,c and d for the second trapezoid. I got it as a=36, b=45 c=9 d=0.2, please confirm, i appreciate your time
mam how u found out a,b,c,d. Kindly help, i am having problem in signing into instagram
Bro did you find can you please tell me how
Thank you for the videos, I really learned a lot. How did you get 22.93, I'm not getting the same value.
Could you please provide the timestamp for the region you have a doubt in?
@@Topperly is b=45, c=0.2, a=?, d=0.2
Could you please send us a message in our Instagram Id? We will provide you the explanation there
@@Topperly alright noted. Thank you
the video is very informative , that's for sure! my calculation is 24.67, how about yours?
hi actually I am confused about x(bar2) 22.937?
Kindly message us in our instagram page, we will clear your queries :)
sir, did u get 22.937?? if so please make one video on it
@@joybandopadhyay577bro did you know how? Can you tell me please
32:34 where this formula came from?.
This is the formula for the x-coordinate of centroid of a trapezium.
@@Topperly Do you remember how to create this formula? I want to use it in my program, i mean i already did and it works, but i have to link a proper source or show the method of creating the formula. I can't find simlillar formula in any source. Thanks
We took reference from wolfram website - mathworld.wolfram.com/Trapezoid.html
@@Topperly Thank you that helps a lot!
What is the value of a,b,c,d for centroid for x2 bar