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How to design the switch mechanism for Hybrid fuzzy PID controller
Hi @Andrei Mihai You can use the concept of the Takagi–Sugeno (T–S) fuzzy system. Unfortunately, as of R2024b, the Fuzzy Logic ...

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How to design a Fuzzy Controller for the Plant 1/(s² + 2·s + 100) to track the Reference signal
Hi @salman saeed The plant has a low DC gain of and a relatively small damping coefficient of 2. If we apply a static gain of ...

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Display problem of membership functions in Fuzzy Logic Designer
Hi @hgrlk In the older Fuzzy Logic Designer UI tool (R2022a and earlier), the default number of plot points is 181, as indicate...

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How to plot a gaussmf in simulink?
The Gaussian MF block behaves as expected mathematically. If the output signal deviates from your expectations, it may be due to...

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How to create sigmoidal membership functions? Need help with parameter 'a'
Theorem: The logistic sigmoidal membership function is given by where the membership values are computed for each input , and...

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Support and core of a fuzzy set in matlab
Crisp sets can be created using linear saturation functions such as linzmf() and linsmf(). Before these two functions were intro...

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Vectorial use of membership functions
Here is a demo in which six different S-shaped membership functions are generated and evaluated at a target input using a for-lo...

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How to get the transfer function of IEEE 9 Bus system?
Hi @车 If you wish to truly understand the dynamic behavior, stability, and response to changes or disturbances of the IEEE 9-Bu...

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Fourier series question, in regards to integration and plotting finite sums
Hi @Thomas I also struggled with calculating the integrations (by hand) while learning Fourier series many years ago. A friend ...

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How to determine the rates of inference for the fuzzy logic controller?
If the "rates of inference" refers to the speed at which the fuzzy controller processes input data, applies fuzzy rules, and pro...

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"Index exceeds matrix dimensions" error when running Fuzzy Inference Engine
The error message likely arises from specifying the membership function parameters as a vector of length two, [0, 10]. However, ...

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ctrb function returns NaN or inf when dealing with large systems
Hi @Corby Thank you and Paul for explaining why the ctrb() function fails for very high-order LTI systems when the spectral rad...

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fuzzy logic
Traditionally, trimf and gaussmf are the two most commonly used membership functions in fuzzy systems. However, if the centers o...

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How can I utilize the Mamdani fuzzy controller to get better quality of step response for 2nd-order system?
Hi @乐乐 First, we examine the open-loop plant transfer function, . It is a 2nd-order system with an integrator and thus, the clo...

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How to extract high-quality image from MATLAB for my research article?
Is 600 dpi good enough? plot(t, x1, t, x2, t, x3) ax = gca; exportgraphics(ax, 'myPlot.png', 'Resolution', 600) Else if ...

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how to deal with discontinuities in solutions to differential equations using ode45
Hi @Chris Hooper To answer your question posed in the title, when simulating systems using ode45() or any other numerical solve...

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Delayed response of neuron to stimuli
The reason for the delayed response is most likely that the Hodgkin–Huxley neuron model consists of a set of nonlinear different...

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How to auto-tune PID parameters for isolated converters like a phase-shift full-bridge DC-DC converter?
Generally, you desire a 'smart' program that autotunes the PID controller without requiring the user to specify the desired perf...

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Need help with error code
Most likely, your colleagues have this function program file stored in one of the folders on their computers. function [T, file...

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Can anyone explain why I am getting an error here? This was a code given to my by my teacher for a project, but it will not work for me. It is for a linkage analysis.
Hi @Ben If the error message says that the inputs of atan2() must be real, then one or both of the inputs must be complex. What...

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Fuzzy implementation on 2nd order transfer function
The Fuzzy Logic Toolbox still lacks examples demonstrating how to implement fuzzy PID controllers in MATLAB using ODE solvers. M...

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How to implement fuzzy control for a thermal system in MATLAB
Hi @giorgos dimou I attempted to recreate the Mamdani fuzzy logic system. However, too many details were not provided. Conseque...

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How can I exactly identify the range of outputs of FuzzyPID-controller?
Hi @乐乐 Hope that you're still around. First, you must understand that a PID controller alone cannot freely manipulate the ste...

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bessel funtion drawing problem part two
The mathematical reason is that when m = 1:2, the computation of j.*cos(m*pi)-j_minus is effectively equal to zero—absolute zero...

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how can i solve this problem Undefined function or variable 'getPIDLoopResponse'
Hi @Adnan As mentioned by @Walter Roberson, you are likely using an older version of the Control System Toolbox before R2019a. ...

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PID tuning using a fuzzy logic controller
Hi @Gabriel I can provide you with an example involving a 1st-order plant, where a simple fuzzy P+I controller is designed. In ...

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PID tuning using a fuzzy logic controller
Hi @Gabriel You understand that certain combinations of PID gains stabilize the non-minimum phase plant, while other combinatio...

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Derivative of state in block is not finite, how to fix?
Hi @Jamie Mathematically, the issue is likely caused by the Sum block at the end of the feedback loop, where the squared veloci...

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How to model an inductor whose inductance value changes with RMS current passing through it?
Hi @Jay It took me an hour to extract the characteristic data from the datasheet image using PlotDigitizer, which is a free onl...

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I have this system of linear equations and i need to solve it for unknowns. how i can solve it in MATLAB? we have 8 unknowns and 8 equations.
I see, @javeria. So, you would like to learn how to solve a system of linear equations. You can refer to the example at the foll...

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