Design an appropriate controller to ensure the steady state

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Reference no: EM132261823

ASSIGNMENT BRIEF

In a liquid level control system, an electric pump is used to pump liquid from a reservoir into a tank. The liquid flows out of the tank through an orifice at its bottom. The orifice is fitted with a manually operated flow valve having five (5) operating settings designated as "1"-"5" and represents an orifice area of 0%, 25%, 50%, 75% and 100% respectively. In addition, a level sensor is used to measure the height of liquid in the tank. It is desired to maintain the height of the liquid in the tank by controlling the flow rate of liquid into the tank, using an appropriate controller.

Each student is expected to summarize his/her observations, including diagrams and attach relevant MATLAB scripts and plots where appropriate.

1. Draw the block diagram and derive the transfer function of the closed loop liquid level control system using a negative feedback.

2. Design an appropriate controller to ensure the steady state error in the liquid level in the tank when it undergoes a step change is always less than ±0.5%. The settling time and overshoot of the system response should also be less than 1.5 seconds and 5% respectively. You may assume the manually operated valve setting is at "position 2" and represents an orifice area of 25%.

3. Using MATLAB, determine the time constant, settling time (2% criterion), rise time (10-90%) and steady state value of the level control system.

4. Examine the stability of the closed loop level control system using the Bode stability criteria. Explain whether the system is stable or unstable in your answers.

5. To ensure the level control system is safely operated, the phase margin of the closed loop system must be at least 120?. Design an appropriate compensator circuit to ensure the process is safely operated. Sketch an electronic circuit that could be used to implement your compensator design. Examine the effect of adding a compensator circuit on the response of the closed loop level control system?.

6. General presentation of your solutions

Attachment:- control system.rar

Reference no: EM132261823

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Reviews

len2261823

3/19/2019 11:18:44 PM

Criterion 4: Stability of Design: Weighting 10% 1. Bode Plot Stability (7%) 2. MATLAB Code Presented (3%) Criterion 5: Compensator Design: Weighting 35% 1. Compensator Design (15%) 2. Effect as compared to previous design (5%) 3. Phase margin is met (5%) 4. Circuit Design (5%) 5. MATLAB Code Presented (3%) Criterion 6: Presentation: Weighting 10% 1. Report Writing and Presentation

len2261823

3/19/2019 11:18:37 PM

Criterion 1: System Design: Weighting 10% 1. Block Diagram (5%) 2. Transfer Function Calculations (5%) Criterion 2: Controller Design Process: Weighting 20% 1. Controller Design and research (10%) 2. Conditions Met (6%) 3. MATLAB Code Presented (4%) Criterion 3: Demonstration: Weighting 15% 1. All given Conditions are satisfied (12 %) 2. MATLAB Code Presented (3%)

len2261823

3/19/2019 11:18:28 PM

MARKING SCHEME Weight (%) Criterion: a) Ability to draw and calculate transfer function 10 b) Design and build an appropriate controller 20 c) Optimizing the system to satisfy the design criterions 15 d) Calculating the stability of the system 10 e) Designing the phase lead or lag compensator 35 f) Report writing 10

len2261823

3/19/2019 11:18:15 PM

In submitting evidence for this assignment, students should be aware of the following: • Unless there are extenuating circumstances, work handed in after the hand-in date will receive a mark no greater than 40%; if handed in after the cut-off date (1 week after the hand-in date) the mark will be 0%. • Student Handbook of Regulations: Section 5 covers procedures for students wishing to claim extenuating circumstances. Sections 4 and 6 define plagiarism and the procedures and penalties for dealing with it. IMPORTANT NOTE: Tutors marking coursework may use the TurnitIn plagiarism service to check for plagiarism, and will use it where possible in all cases where plagiarism is suspected. • You are advised to keep copies of all your assignments in case of difficulties.

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