| Chapter 1. Introduction to Control Systems |
1) Basic definitions. 2) Types and examples of control systems. 3) Represent linear systems with block diagrams and signal flow diagrams. 4) Basic characteristics of feedback systems: decreased sensitivity, rejection of disturbances, modification of poles, instability. 6) Effects on gain, error and bandwidth
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| Chapter 2. Time and frequency domain response of first and second order systems. Higher orders and order reduction. |
1) Description of linear systems by means of transfer functions. 2) Calculate the parameters of the temporal response of first and second order systems: over-peak, rise time, establishment time, steady state response. 3) Know the concept of dominant pole to evaluate the temporal response of higher-order systems. 4) Represent the contours of constant Sp, Ts and wn in the s-plane. 5) Calculate the frequency response (module and phase) of first and second order systems. 8) Know the concepts of bandwidth at 3 dB, and peak frequency response
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| Chapter 3. Stability analysis. |
1) Steady-state error theory depending on the type of system.
2) Stability criteria based on the Routh-Hurwitz theorem. 3)BIBO stability criterion based on geometric place of roots (LGR).
4) Nyquist's stability criterion, based on the principle of argument.
5) Concept of gain and phase margins in the Bode, Nichols, and Nyquist diagrams. |
| Chapter 4. Control Design. Root locus and frequency-domain techniques. |
Design of compensators in the geometric place of roots: compensation for advancement and with PD, compensation for delay and with PI, compensation with PID. 2) Example Design of compensators in frequency response: phase delay compensation, phase advance compensation, advance-delay compensation. 3)Know empirical methods of harmony for PID's. |
| Chapter 5. Discrete-time control systems. |
) Discrete-time signals, 2) Continuous time and discrete time duality, 3) Z-transform, 4) discrete-time stability, 5) LGA in discrete-time systems, 6) Design of discrete-time compensators. |
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