Control Systems

  1. Digital Control Systems
    1. Sampling and Reconstruction
      1. Sampling Process
        1. Sampling Theorem
          1. Aliasing
            1. Anti-Aliasing Filters
              1. Zero-Order Hold
                1. First-Order Hold
                  1. Quantization Effects
                  2. Z-Transform
                    1. Definition and Properties
                      1. Linearity
                        1. Time Shifting
                          1. Time Scaling
                            1. Initial Value Theorem
                              1. Final Value Theorem
                              2. Z-Transform Pairs
                                1. Inverse Z-Transform
                                  1. Partial Fraction Method
                                    1. Power Series Method
                                      1. Residue Method
                                      2. Solution of Difference Equations
                                      3. Pulse Transfer Functions
                                        1. Derivation from Continuous Systems
                                          1. Sampled-Data System Analysis
                                            1. Closed-Loop Pulse Transfer Functions
                                            2. Stability Analysis of Digital Systems
                                              1. Z-Plane Stability
                                                1. Jury Stability Test
                                                  1. Bilinear Transformation
                                                    1. Root Locus in Z-Plane
                                                    2. Digital Controller Design
                                                      1. Direct Digital Design
                                                        1. Pole Placement in Z-Domain
                                                          1. Deadbeat Control
                                                            1. Minimum Variance Control
                                                            2. Discrete Equivalent Design
                                                              1. Backward Difference
                                                                1. Forward Difference
                                                                  1. Bilinear Transformation
                                                                  2. Digital PID Controllers
                                                                    1. Discrete PID Algorithms
                                                                      1. Implementation Issues
                                                                    2. State-Space Analysis of Digital Systems
                                                                      1. Discrete-Time State Equations
                                                                        1. Solution of Discrete State Equations
                                                                          1. Controllability and Observability
                                                                            1. Digital State Feedback Design
                                                                              1. Digital Observer Design

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                                                                            10. State-Space Design

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                                                                            12. Nonlinear Control Systems