(→Course Outline) |
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Riga 12: | Riga 12: | ||
*'''Examples of LTI systems modelling'''. Electrical networks: integrator, derivative, lead, lag, lead-lag. Armature control of DC electric motor. | *'''Examples of LTI systems modelling'''. Electrical networks: integrator, derivative, lead, lag, lead-lag. Armature control of DC electric motor. | ||
− | * '''Analysis in the complex variable domain'''. Free evolution and the initial value problem. The forced response and the transfer function. | + | * '''Analysis in the complex variable domain'''. Free evolution and the initial value problem. The forced response and the transfer function. The pole-zero map and the impulse response time evolution. First-order and second-order systems: forced response to impulse, step and ramp. Influence of a zero on the step response of a first order and second order system. Transient response specifications: delay time, rise time, settling-time, peak time, maximum overshoot. |
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− | ''' | + | '''Second Parte''' |
− | * ''' | + | * '''Stability analysis'''. Definitions and fundamental theorems of stability of LTI systems. BIBO stability. Routh Lemma (necessary condition) and Routh-Hurwitz criterion. Special cases in the construction of the Routh table. Examples. |
− | * ''' | + | * '''Properties of closed-loop systems'''. Steady state error in feedback control systems. Error coefficients (position, velocity, acceleration). Disturbance rejection in open-loop and closed-loop systems. Feed-forward compensation. Sensitivity to parametric variations in the transfer function of the forward branch and feedback branch. The sensitivity function. |
− | *''' | + | * '''Root locus'''. Root locus and complementary root locus. General rules to construct the root loci. Root locus for control system design (basic concepts). |
+ | Examples. |
First Part
Second Parte
Examples.
First Part
Seconda Parte