{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lec13_print - Dynamics of Commercial Controllers Srinivas...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Dynamics of Commercial Controllers Srinivas Palanki University of South Alabama Srinivas Palanki (USA) Dynamics of Commercial Controllers 1 / 18
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Commercial Controllers Controller A controller is an electronic device that helps to: 1 regulate a process at its desired set-point despite disturbances to the process. 2 take the system to a new set-point safely, with desired dynamic characteristics. The vast majority of controllers used in the process industry (over 80%) are P, PI or PID controllers. In this lecture, we develop the dynamic models for these commercial controllers. Srinivas Palanki (USA) Dynamics of Commercial Controllers 2 / 18
Image of page 2
Commercial Controllers Definitions Set-Point, Ysp Controller Signal from sensor, Y Error, E + - Signal to actuator, U Y sp : Desired set-point Y : Signal from sensor E : Error(input to controller) E = Y sp - Y U : Signal to actuator (output of controller) Controller Types P = Proportional PI = Proportional-Integral PID = Proportional-Integral-Derivative Srinivas Palanki (USA) Dynamics of Commercial Controllers 3 / 18
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Commercial Controllers P Controller Set-Point, Ysp Controller Signal from sensor, Y Error, E + - Signal to actuator, U U = k c E (1) The variable k c is called the controller gain and is a tunable parameter, which is set by the user. Srinivas Palanki (USA) Dynamics of Commercial Controllers 4 / 18
Image of page 4
Commercial Controllers PI Controller Set-Point, Ysp Controller Signal from sensor, Y Error, E + - Signal to actuator, U de I dt = E U = k c E + k c τ I e I (2) The variable τ I is called the integral time constant . The PI controller has two tunable parameters: k c and τ I . Srinivas Palanki (USA) Dynamics of Commercial Controllers 5 / 18
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Commercial Controllers PID Controller Set-Point, Ysp Controller Signal from sensor, Y Error, E + - Signal to actuator, U de I dt = E de F dt = - 1 λ e F + 1 λ E U = k c E + k c τ I e I + k c τ D - 1 λ e F + 1 λ E (3) The variable τ D is called the
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern