Control Systems

  1. Time-Domain Analysis
    1. System Response Characteristics
      1. Transient Response
        1. Steady-State Response
          1. Natural Response
            1. Forced Response
            2. Standard Test Inputs
              1. Step Input
                1. Unit Step Function
                  1. Step Response Analysis
                  2. Ramp Input
                    1. Unit Ramp Function
                      1. Ramp Response Analysis
                      2. Parabolic Input
                        1. Parabolic Function
                          1. Parabolic Response Analysis
                          2. Impulse Input
                            1. Unit Impulse Function
                              1. Impulse Response Analysis
                              2. Sinusoidal Input
                                1. Sinusoidal Response
                                  1. Frequency Response
                                2. First-Order Systems
                                  1. Standard Form
                                    1. Time Constant
                                      1. Response to Standard Inputs
                                        1. Step Response
                                          1. Ramp Response
                                            1. Impulse Response
                                            2. Physical Examples
                                            3. Second-Order Systems
                                              1. Standard Form
                                                1. Natural Frequency
                                                  1. Damping Ratio
                                                    1. System Classification
                                                      1. Undamped Systems
                                                        1. Underdamped Systems
                                                          1. Critically Damped Systems
                                                            1. Overdamped Systems
                                                            2. Step Response Analysis
                                                              1. Response Equations
                                                                1. Response Characteristics
                                                                2. Physical Examples
                                                                3. Higher-Order Systems
                                                                  1. Dominant Pole Concept
                                                                    1. Approximation Methods
                                                                      1. Response Characteristics
                                                                      2. Performance Specifications
                                                                        1. Time-Domain Specifications
                                                                          1. Rise Time
                                                                            1. Peak Time
                                                                              1. Maximum Overshoot
                                                                                1. Settling Time
                                                                                  1. Delay Time
                                                                                  2. Steady-State Error
                                                                                    1. Error Definition
                                                                                      1. Error Constants
                                                                                        1. Position Error Constant
                                                                                          1. Velocity Error Constant
                                                                                            1. Acceleration Error Constant
                                                                                            2. System Type
                                                                                              1. Type 0 Systems
                                                                                                1. Type 1 Systems
                                                                                                  1. Type 2 Systems
                                                                                                  2. Error Analysis for Different Inputs

                                                                                              Previous

                                                                                              3. Mathematical Modeling of Dynamic Systems

                                                                                              Go to top

                                                                                              Next

                                                                                              5. Stability Analysis