Control Systems

  1. Mathematical Modeling of Dynamic Systems
    1. System Representation Methods
      1. Differential Equation Models
        1. Transfer Function Models
          1. State-Space Models
            1. Block Diagram Models
              1. Signal Flow Graph Models
              2. Transfer Functions
                1. Definition and Properties
                  1. Poles and Zeros
                    1. Physical Interpretation
                      1. Effect on System Response
                      2. Proper and Improper Transfer Functions
                        1. Minimum Phase and Non-Minimum Phase Systems
                        2. Block Diagrams
                          1. Basic Elements
                            1. Summing Junction
                              1. Takeoff Point
                                1. Transfer Function Block
                                2. Block Diagram Algebra
                                  1. Series Connection
                                    1. Parallel Connection
                                      1. Feedback Connection
                                      2. Block Diagram Reduction
                                        1. Simplification Rules
                                          1. Equivalent Transformations
                                        2. Signal Flow Graphs
                                          1. Terminology
                                            1. Nodes
                                              1. Branches
                                                1. Paths
                                                  1. Loops
                                                  2. Construction Rules
                                                    1. Mason's Gain Formula
                                                      1. Forward Path Gain
                                                        1. Loop Gain
                                                          1. Non-Touching Loops
                                                        2. Modeling of Physical Systems
                                                          1. Mechanical Systems
                                                            1. Translational Systems
                                                              1. Mass Elements
                                                                1. Spring Elements
                                                                  1. Damper Elements
                                                                    1. Force Analysis
                                                                    2. Rotational Systems
                                                                      1. Moment of Inertia
                                                                        1. Torsional Springs
                                                                          1. Rotational Dampers
                                                                            1. Torque Analysis
                                                                            2. Mechanical System Analogies
                                                                            3. Electrical Systems
                                                                              1. Resistive Circuits
                                                                                1. Capacitive Circuits
                                                                                  1. Inductive Circuits
                                                                                    1. RLC Circuits
                                                                                      1. Operational Amplifier Circuits
                                                                                      2. Electromechanical Systems
                                                                                        1. DC Motors
                                                                                          1. Armature-Controlled Motors
                                                                                            1. Field-Controlled Motors
                                                                                              1. Motor Parameters
                                                                                              2. AC Motors
                                                                                                1. Generators
                                                                                                  1. Servo Motors
                                                                                                  2. Thermal Systems
                                                                                                    1. Heat Transfer Mechanisms
                                                                                                      1. Thermal Capacitance
                                                                                                        1. Thermal Resistance
                                                                                                        2. Fluid Systems
                                                                                                          1. Hydraulic Systems
                                                                                                            1. Pneumatic Systems
                                                                                                              1. Flow Dynamics
                                                                                                            2. Linearization Techniques
                                                                                                              1. Small Signal Analysis
                                                                                                                1. Taylor Series Linearization
                                                                                                                  1. Operating Point Selection
                                                                                                                    1. Validity of Linear Approximation

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                                                                                                                  2. Mathematical Foundations

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                                                                                                                  4. Time-Domain Analysis