Control Systems Experiment Overview
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Questions and Answers

What is the purpose of studying the time response of first and second order systems in the laboratory experiment?

  • To analyze thermal system modeling
  • To assess the frequency response of systems
  • To verify theoretical and practical results of steady state error and overshoot (correct)
  • To design various controller types using MATLAB
  • Which of the following equipment is NOT required for the time-response experiment?

  • Patch chord
  • PID Controller module
  • MATLAB software (correct)
  • D.S.O and probes
  • What does the term 'Delay Time' refer to in control systems?

  • The time required for the output to reach its final value
  • The total time taken for system analysis
  • The time it takes for the system response to reach half of its final value (correct)
  • The time it takes for a system to return to equilibrium
  • Which performance assessment is evaluated for both first and second order systems in this experiment?

    <p>Steady state error</p> Signup and view all the answers

    What is one of the objectives of the study surrounding second order systems?

    <p>Analyzing the percentage peak overshoot</p> Signup and view all the answers

    Which analysis method is employed for studying stability in feedback systems within the lab manual?

    <p>MATLAB/SIMULINK</p> Signup and view all the answers

    In the analysis of a DC Servo Motor control, which parameter is NOT typically assessed?

    <p>Frequency response characteristics</p> Signup and view all the answers

    What does the laboratory experiment primarily focus on with respect to DC Servo Motors?

    <p>Position control using a PV controller</p> Signup and view all the answers

    What is the rise time for an over-damped system?

    <p>The time taken from 10% to 90% of the final value</p> Signup and view all the answers

    Which parameter denotes peak time in control systems?

    <p>𝑡𝑝</p> Signup and view all the answers

    What does the term peak overshoot reference in a control system?

    <p>The maximum deviation at peak time from the final value</p> Signup and view all the answers

    How can settling time be defined?

    <p>The duration the output stays within specified tolerance bands</p> Signup and view all the answers

    In a first order system, the time constant (T) is what percentage of the steady state value?

    <p>63.2%</p> Signup and view all the answers

    What is the formula for calculating the rise time in a second order system?

    <p>$\frac{1-\xi^2}{\omega_d}$</p> Signup and view all the answers

    What represents the settling time of a second order control system?

    <p>$\frac{4}{\xi\omega_n}$</p> Signup and view all the answers

    In a PID control system, how is the feedback commonly constructed?

    <p>By connecting a P-control system with gain of 1</p> Signup and view all the answers

    What is the numerator of the transfer function for system G1(s)?

    <p>3</p> Signup and view all the answers

    Which MATLAB function is used to find the closed-loop transfer function with negative feedback?

    <p>feedback</p> Signup and view all the answers

    What is the denominator of the transfer function for system G2(s)?

    <p>s^2 + 2s + 3</p> Signup and view all the answers

    When two systems are connected in series, which MATLAB command will be used to combine them?

    <p>series</p> Signup and view all the answers

    What is the closed-loop transfer function of the system characterized by G(s) = 2/(s + 2s + 5)?

    <p>2/(s + 5)</p> Signup and view all the answers

    What mathematical operation represents combining systems in parallel?

    <p>Addition of the transfer functions</p> Signup and view all the answers

    What is the value of the numerator 'n_g2' for system G2(s)?

    <p>2</p> Signup and view all the answers

    If two systems with transfer functions G1(s) and G2(s) are connected in series, what is the resulting transfer function generally characterized by?

    <p>The product of the individual transfer functions</p> Signup and view all the answers

    What MATLAB function is used to convert a state space model to a transfer function model?

    <p>ss2tf</p> Signup and view all the answers

    In the provided connection matrix, what does the first column represent?

    <p>Block numbers</p> Signup and view all the answers

    When building the overall system transfer function in MATLAB, which variable contains the denominator coefficients?

    <p>den</p> Signup and view all the answers

    Given the structure of the transfer function, which of the following is a possible form of the input vector 'iu'?

    <p>[1 0 0]</p> Signup and view all the answers

    What represents the closed-loop transfer function in feedback systems?

    <p>G(s)/(1 + G(s)H(s))</p> Signup and view all the answers

    In linear control systems, what does the variable 'C(s)' typically represent?

    <p>Output of the system</p> Signup and view all the answers

    What is the role of the 'blkbuild' command in the provided MATLAB code?

    <p>To assemble block parameters</p> Signup and view all the answers

    Which element of the connection matrix denotes the feedback paths in the system?

    <p>Negative coefficients</p> Signup and view all the answers

    What is the transfer function of the second order system described?

    <p>$\frac{1}{(1+0.0155S)(1+0.0155S)}$</p> Signup and view all the answers

    In the context of PID control, what is the primary purpose of the Ki parameter?

    <p>To eliminate steady-state error</p> Signup and view all the answers

    When testing the PI controller, what is held constant while Ki is varied?

    <p>Kp</p> Signup and view all the answers

    What is the expected outcome of increasing the Kd value in a PID control system?

    <p>Reduction in overshoot</p> Signup and view all the answers

    What is the primary aim of implementing a phase lead compensator?

    <p>To increase the system's phase margin</p> Signup and view all the answers

    Which of the following characteristics is typically not associated with increasing the Kp value in a P control system?

    <p>Increased steady-state error</p> Signup and view all the answers

    Which performance index indicates the responsiveness of a control system?

    <p>Rise time</p> Signup and view all the answers

    In the context of PID controllers, what effect does a P controller have on the system compared to a complete PID controller?

    <p>Provides quicker response times</p> Signup and view all the answers

    What is the significance of tabulating time domain performance indices during testing?

    <p>To visualize the impact of controller parameters</p> Signup and view all the answers

    What is the primary characteristic of a second-order system?

    <p>Can oscillate before settling</p> Signup and view all the answers

    Study Notes

    Time-Response of First and Second Order Systems

    • Aim of the experiment is to examine first and second order systems behavior under step input, verifying steady-state error for first order systems with different gains and comparing theoretical and practical results.
    • Also, aims to verify percentage peak overshoot, rise time, and settling time of second-order systems and compare theoretical and practical results.
    • The first order system has a transfer function of G(s) = 1/(1+0.0155S)
    •  The second order system has a transfer function of G(s) = 1/((1+0.0155S)(1+0.0155S)).

    Frequency Response of Second Order System

    • The experiment aims to analyze the frequency response of a second-order system. No specifics on the system or how the response is measured and analyzed.

    P, PI & PID Controllers: Performance Assessment

    • Experiment aims to evaluate the performance assessment of P, PI, and PID controllers. No specifics on the system or the methods used.

    Design and Implement the Phase Lead Compensator

    • Aims to design and implement a phase lead compensator for a given system using frequency response methods.
    • Experiment aims to find the overall transfer function of systems connected in series and in parallel

    Performance Analysis of DC Servo Motor control

    • Experiment focuses on analysis of a DC Servo Motor control system
    • This experiment includes several sub-parts:
      • Determining the transfer function of the DC Servo Motor.
      • Analyzing stability of the DC Servo Motor for speed and position output functions.
      • Evaluating the second-order response of the DC Servo Motor.
      • Investigating position control of the DC Servo Motor using PV controller.

    Modeling and Controller Design for Thermal System

    • Experiment focuses on modelling and controller design for a thermal system. No specifics on the system or the controller design methods.
    • Experiment aims to perform time-domain analysis of Linear Time-Invariant (LTI) systems using MATLAB/SIMULINK software. No additional details on the specifics of the system or the analysis methods.
    • Experiment aims to analyze the stability of feedback systems using MATLAB/SIMULINK software. No additional details on the specifics of the systems or the methods used.

    Design of P, PI and PID Controller using MATLAB-SISO Tool

    • Experiment involves designing P, PI, and PID controllers using MATLAB's SISO tool. The experiment does not mention the details of the system being controlled or the specifics of the design process.

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    Description

    Explore the behaviors of first and second order control systems through various experiments. This quiz covers the time-response characteristics under step inputs, frequency response analysis, and performance assessment of different control strategies such as P, PI, and PID controllers.

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