CDSSC · Repaso · Exercises

Exam practice exercises

Short tasks in the style of the first MATLAB practical exam, asked from different angles on purpose. Solve each one in MATLAB or by hand, type the number, then Check. Hint and Show answer are always there.

Root locus and step response lugar de las raíces · respuesta al escalón

Plant: , proportional controller D = K, unity feedback. Closed loop .

A1. K = 200. Damping ratio ζ (2 decimals)?

A2. K = 500. Size of the imaginary part of the closed-loop poles?

A3. K = 500. Overshoot Mp in %?

A4. K = 1000. Peak time tp in seconds?

A5. Above K = 125, what happens to how fast the oscillation dies out when you raise K?

Margins and relative stability márgenes · estabilidad relativa

B1. Motor with P control. Which K gives exactly MF = 60°?

B2. Motor, K = 500. Peak of the sensitivity Ms in dB?

B3. Motor with P control. Gain margin MG?

B4. Oven from FR-03, K = 1. How many times can you still raise K before instability?

Sensitivity functions and errors funciones de sensibilidad · error

C1. How much does the motor voltage u jump when you step the reference r? Which function answers that?

C2. Which one is S = E/R?

C3. L = 500K(s+100)/(s²(s+500)). Type of the system?

C4. Motor with P control, K = 125. Reference is a ramp r(t) = t. Steady-state error?

C5. Oven from FR-03, P control, K = 1. Step error e_p?

Load disturbance perturbación de carga

Rule: Input d, meter y → . Constant d: y(∞) = Si(0)·d.

D1. Motor, P control K = 125, constant load d = 5. Offset of the position y(∞)?

D2. Same load, P control only. Smallest K for an offset below 0.01?

D3. Same load, PI controller D = 125(s+100)/s. Offset y(∞)?

Examen práctico 1 (18/11/2025) · FR-03 · FR-04 · FR-05