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4. Consider the tank illustrated below where the density if the fluid is p. The resistances R₁ and R2 are linear, and the inputs are the pressure source p, and the inflow qmi. 4.a Assuming h> D, calculate the value of the height that will result in the system reaching equilibrium. The relationship will be a function of parameters. 4.b Assume that qmi is a given constant and that you can sense the water level h and influence the input ps. Design a PI controller that allows you to keep the water level at a given constant H. 4.c Linearize the closed loop system about the equilibrium and determine the values of the P and I gains that ensure the stability of the equilibrium. Pa R₁ 9mi

4. Consider the tank illustrated below where the density if the fluid is p. The resistances R₁ and R2 are linear, and the inputs are the pressure source p, and the inflow qmi. 4.a Assuming h> D, calculate the value of the height that will result in the system reaching equilibrium. The relationship will be a function of parameters. 4.b Assume that qmi is a given constant and that you can sense the water level h and influence the input ps. Design a PI controller that allows you to keep the water level at a given constant H. 4.c Linearize the closed loop system about the equilibrium and determine the values of the P and I gains that ensure the stability of the equilibrium. Pa R₁ 9mi

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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4. Consider the tank illustrated below where the density if the fluid is p. The resistances Ri and R2 are linear, and the inputs are the pressure source ps and the inflow qmi- 4.a Assuming h> D, calculate the value of the height that will result in the system reaching equilibrium. The relationship will be a function of parameters. 4.b Assume that qmi is a given constant and that you can sense the water level h and influence the input ps. Design a PI controller that allows you to keep the water level at a given constant H. 4.c Linearize the closed loop system about the equilibrium and determine the values of the P and I gains that ensure the stability of the equilibrium. Imi R2 Ps Pa R1
Transcribed Image Text:4. Consider the tank illustrated below where the density if the fluid is p. The resistances Ri and R2 are linear, and the inputs are the pressure source ps and the inflow qmi- 4.a Assuming h> D, calculate the value of the height that will result in the system reaching equilibrium. The relationship will be a function of parameters. 4.b Assume that qmi is a given constant and that you can sense the water level h and influence the input ps. Design a PI controller that allows you to keep the water level at a given constant H. 4.c Linearize the closed loop system about the equilibrium and determine the values of the P and I gains that ensure the stability of the equilibrium. Imi R2 Ps Pa R1
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