seminar on fuzzy controller
TRANSCRIPT
![Page 1: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/1.jpg)
![Page 2: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/2.jpg)
INTRODUCTION
Conventional Proportional Integral Derivative(PID) controllers have been well developed & applied , are extensively used for industrial automation & process control. PID controllers do not work well for non linear systems, complex & vague systems. To overcome this difficulties autotuning & adaptive PID controllers employing fuzzy logic are developed.
![Page 3: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/3.jpg)
FUZZY CONTROLLER
PID controllers are designed for linear systems and they provide a preferable cost/benefit ratio. However, the presences of nonlinear effects limit their performances. Fuzzy controllers are successful applied to non-linear system because of their knowledge based nonlinear structural characteristics. Hybridization of these two controller structures comes to ones mind immediately to exploit the beneficial sides of both categories
![Page 4: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/4.jpg)
FUZZY PID CONTROLLER FEATURES
Has same linear structure ,self tuned control gains.
Integral & derivative gains for non linear function of input signals.
Fuzzification & defuzzification rules are embedded in final formulation of fuzzy control.
![Page 5: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/5.jpg)
FUZZY PI + D CONTROLLERS
Fuzzy PI+D controller is a digital controller
Arrangement is often desirable if the reference input contains discontinuities
![Page 6: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/6.jpg)
FUZZY PI + D CONTROLLERS
![Page 7: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/7.jpg)
BLOCK DIAGRAM OF HYBRID TYPE FUZZY PIDCONTROLLER
![Page 8: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/8.jpg)
CLASSIFICATION OF FUZZY PID CONTROLLERS
![Page 9: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/9.jpg)
“THREE-TERM” FUNCTIONALITIES ARE
Proportional term is providing an overall control action proportional to the error signal
Integral term is reducing steady-state errors through low-frequency compensation by an integrator
Derivative term is improving transient response through high-frequency compensation by a differentiator
![Page 10: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/10.jpg)
FUZZY PID CONTROLLER STRUCTURE
![Page 11: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/11.jpg)
FUZZY PI CONTROLLER
Output of the conventional analog PI controller in the frequency domain “s” as can be verified easily
With a fuzzy control action , we arrive at
KuPI is a constant control gain
![Page 12: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/12.jpg)
FUZZY D CONTROLLER
D controller in the PID control system,is given by
Incremental control output of the fuzzy D controller
![Page 13: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/13.jpg)
FUZZY PI D CONTROLLER
Overall fuzzy PI D control law can be obtained by algebraically summing the fuzzy PI control law and the fuzzy D law
![Page 14: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/14.jpg)
FUZZY CONTROLLERS DESIGN
Fuzzification
Fuzzy Control Rules
Defuzzification
![Page 15: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/15.jpg)
FUZZIFICATION
Fuzzify the PI and D components of the PID control system individually and then combine the desired fuzzy control rules for each of them, taking into consideration the overall PI D fuzzy control law. The input and output membership functions of the PI component
![Page 16: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/16.jpg)
MEMBERSHIP FUNCTIONS FOR THE PI COMPONENT. (A) INPUT MEMBERSHIPFUNCTIONS. (B) OUTPUT MEMBERSHIP FUNCTIONS
![Page 17: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/17.jpg)
MEMBERSHIP FUNCTIONS FOR THE D COMPONENT. (A) INPUT MEMBERSHIP FUNCTIONS. (B) OUTPUT MEMBERSHIP FUNCTIONS
![Page 18: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/18.jpg)
FUZZY CONTROL RULES
Using the aforementioned membership functions, the following control rules are established for the fuzzy PI controller.
![Page 19: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/19.jpg)
FUZZY CONTROL RULES
Membership functions of the fuzzy D controller, the following control rules are used for the D component
![Page 20: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/20.jpg)
DEFUZZIFICATION
For both fuzzy PI and D controllers, the centroidformula is employed to defuzzify the incremental control of the fuzzy control law
The two membership functions then overlap and form the third-dimensional picture.
![Page 21: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/21.jpg)
OUTPUT RESPONSE OF THE FUZZY PID CONTROLLER.
![Page 22: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/22.jpg)
CONCLUSION
A novel design methodology that blends the classical PID and the fuzzy controllers in an intelligent way is thus a new intelligent hybrid controller. Many simulations done on various processes using the new hybrid fuzzy PID controller have provided ‘better’ system responses in terms of transient and steady-state performances. The proposed hybrid structure has provided a good and effective performance on system response.
![Page 23: Seminar on Fuzzy Controller](https://reader034.vdocument.in/reader034/viewer/2022052618/54f77e0b4a79591c638b4a96/html5/thumbnails/23.jpg)