Control Systems

  1. Frequency-Domain Analysis
    1. Frequency Response Concepts
      1. Sinusoidal Steady-State Response
        1. Frequency Response Function
          1. Magnitude and Phase Response
            1. Frequency Domain vs Time Domain
            2. Bode Plots
              1. Bode Plot Construction
                1. Magnitude Plot
                  1. Phase Plot
                    1. Logarithmic Scales
                    2. Asymptotic Approximations
                      1. Constant Term
                        1. Pole at Origin
                          1. Zero at Origin
                            1. Simple Pole
                              1. Simple Zero
                                1. Complex Poles and Zeros
                                2. Composite Bode Plots
                                  1. Minimum Phase Systems
                                    1. Non-Minimum Phase Systems
                                    2. Polar Plots
                                      1. Polar Plot Construction
                                        1. Key Features
                                          1. Low Frequency Behavior
                                            1. High Frequency Behavior
                                              1. Symmetry Properties
                                              2. Relationship to Transfer Function
                                              3. Nyquist Stability Criterion
                                                1. Nyquist Path
                                                  1. Nyquist Plot
                                                    1. Principle of the Argument
                                                      1. Encirclement Rule
                                                        1. Stability Determination
                                                          1. Stable Systems
                                                            1. Unstable Systems
                                                              1. Marginal Cases
                                                              2. Special Cases
                                                                1. Poles on Imaginary Axis
                                                                  1. Poles at Origin
                                                                2. Stability Margins
                                                                  1. Gain Margin
                                                                    1. Calculation from Bode Plot
                                                                      1. Calculation from Nyquist Plot
                                                                      2. Phase Margin
                                                                        1. Calculation from Bode Plot
                                                                          1. Calculation from Nyquist Plot
                                                                          2. Stability Margin Interpretation
                                                                          3. Closed-Loop Frequency Response
                                                                            1. M-Circles
                                                                              1. N-Circles
                                                                                1. Nichols Chart
                                                                                  1. Bandwidth
                                                                                    1. Resonant Peak
                                                                                      1. Resonant Frequency

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                                                                                    6. Root Locus Method

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                                                                                    8. Control System Design