{"id":98,"date":"2025-09-20T01:58:47","date_gmt":"2025-09-20T01:58:47","guid":{"rendered":"https:\/\/itisallmath.com\/control-systems\/"},"modified":"2025-12-31T15:08:31","modified_gmt":"2025-12-31T15:08:31","slug":"control-systems","status":"publish","type":"page","link":"https:\/\/itisallmath.com\/es\/electronics\/control-systems\/","title":{"rendered":"Control Systems"},"content":{"rendered":"
<\/div><\/div>\n\n\n\n
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What are you going to learn?<\/h1><\/div>\n\n\n\n

Understand the general approach to designing and building a control system. Comprehend the concept of open and closed loop systems, and compare and contrast the performance of the two systems. Describe general terms used in control such as optimization, plant, process, design specifications, sensors, transducers etc. Model electrical and mechanical systems by obtaining their differential equations and transfer functions. Evaluate system transfer function of a DC motor. Describe block diagram and signal flow graph models and use Mason\u2019s Gain formula. Describe sensitivity and disturbance and their mathematical equations. Evaluate error and steady state error for different inputs and systems in general. Obtain system step and impulse response of a first, second, and higher order systems. Evaluate system stability using pole zero diagram and Routh-Hurwitz criterion. Discuss system stability using Root-Locus. Understand the use of PID controllers in design of systems. Obtain frequency response plots of different systems in forms of Bode Diagram (amplitude and phase), Polar Plot, and Log Magnitude – Phase Diagram. Discuss stability in frequency domain using Nyquist criterion and Nichols chart. Understand the idea of relative stability in terms of Gain and Phase Margin. Use Matlab and Simulink to design systems, evaluate stability, and obtain response.<\/p>\n\n\n\n

Content<\/h2><\/div>\n<\/div><\/div>\n\n\n\n
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Chapter 1. Mathematical Models of Systems<\/strong><\/h3><\/div>\n\n\n\n
    \n
  • System Differential Equation<\/li>\n\n\n\n
  • Laplace Transform<\/li>\n\n\n\n
  • Transfer Function<\/li>\n\n\n\n
  • Block Diagram<\/li>\n\n\n\n
  • Signal Flow Diagram<\/li>\n\n\n\n
  • Mason’s Gain Formula<\/li>\n<\/ul>\n<\/div>\n\n\n\n
    <\/div>\n<\/div><\/div>\n\n\n\n
    \n
    \n

    Chapter 2. Feedback Control System Characteristic<\/strong><\/strong><\/h3><\/div>\n\n\n\n
      \n
    • Sensitivity<\/li>\n\n\n\n
    • Disturbance<\/li>\n\n\n\n
    • Steady State Error<\/li>\n<\/ul>\n<\/div>\n\n\n\n
      <\/div>\n<\/div><\/div>\n\n\n\n
      \n
      \n

      Chapter 3. Performance of Feedback Control System<\/strong><\/strong><\/h3><\/div>\n\n\n\n
        \n
      • Performance Specification<\/li>\n\n\n\n
      • First Order System<\/li>\n\n\n\n
      • Second Order System<\/li>\n\n\n\n
      • Higher Order System<\/li>\n\n\n\n
      • Steady State Error for Different Type Systems and Inputs<\/li>\n\n\n\n
      • Performance Indices<\/li>\n<\/ul>\n<\/div>\n\n\n\n
        <\/div>\n<\/div><\/div>\n\n\n\n
        \n
        \n

        Chapter 4. Stability of Linear Feedback Systems<\/strong><\/strong><\/h3><\/div>\n\n\n\n
          \n
        • Pole – Zero<\/li>\n\n\n\n
        • Routh-Hurwitz Criterion<\/li>\n<\/ul>\n<\/div>\n\n\n\n
          <\/div>\n<\/div><\/div>\n\n\n\n
          \n
          \n

          Chapter 5. The Root-Locus Method<\/strong><\/strong><\/h3><\/div>\n\n\n\n
            \n
          • PID Controllers<\/li>\n<\/ul>\n<\/div>\n\n\n\n
            <\/div>\n<\/div><\/div>\n\n\n\n
            \n
            \n

            Chapter 6. Frequency Response Methods for Analysis and Stability<\/strong><\/strong><\/h3><\/div>\n\n\n\n
              \n
            • Polar Plot<\/li>\n\n\n\n
            • Bode Diagrams<\/li>\n\n\n\n
            • Log-Magnitude and Phase Diagrams<\/li>\n\n\n\n
            • Design of Compensation of Feedback Systems<\/li>\n<\/ul>\n<\/div>\n\n\n\n
              <\/div>\n<\/div><\/div>\n\n\n\n

              Bibliography<\/h3><\/div>\n\n\n\n
                \n
              • Dorf, R., and Robert Bishop. Modern Control Systems<\/em><\/strong>. 13th ed, Pearson<\/li>\n\n\n\n
              • Phillips and Harbor. F<\/em>eedback Control Systems<\/em>.<\/strong> 3rd . Ed., Prentice Hall 1996,<\/li>\n\n\n\n
              • Golnaraghi, F., and Benjamin Kuo. Automatic Control System<\/em><\/strong>. 7th. Ed. Prentice Hall, 1995.<\/li>\n\n\n\n
              • Norman, S. Control Systems Engineering<\/em><\/strong>. 8th edition, Wiley Inc.2019<\/li>\n<\/ul>\n\n\n\n

                Webgraphy<\/h3><\/div>\n\n\n\n
                  \n
                • <\/li>\n<\/ul>\n\n\n\n

                  <\/p>","protected":false},"excerpt":{"rendered":"

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Understand the general approach to designing and building a control system. 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