Classical and Modern Control with Worked Examples by Jean-Pierre Elloy

By Jean-Pierre Elloy

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Example text

Otherwise, P = O, N = O and therefore Z = O, and the system in clo­ sed loop is stable. 76 K Therefore if |K. 0336], the system in closed loop is stable, other­ wise it will be unstable. 3 STUDY OF THE AUTOMATIC PILOT OF AN AIRCRAFT The automatic tant altitude. e. of the of statement. 2 curve K F(ju) in the servo control system of the : rd/s Black of terms aircraft. 5s diagram. 15 K voltages shown makes of manoeuvre. set we identified aerodynamic numerical which angle is c s(l in the as . regulate F(s) geometric angle turning the and loop) control.

We shall term as Αη, A«, A , A and A' the effective surface areas of the drive jacks, the feedback jacks and the motor jacks respectively. Finally, we shall denote the total volume of oil in the power mechanism as 2V . J r o a) Work out the expression of x in terms of Θ and θ , then that of jack) in terms of Θ . Then express the balance Pp~P7 (in the feedback of the torques exerted on the spindle of the rudder, then work out the expression of P -P (in the motor jacks) in terms of x . We shall as­ constant.

The termination points are : the zero of kG(s) (z infinite branches. The asymptotic directions are a- = zr ; a 2 = π ; a o = -5) and three = - Τ· The asymptotes are concurrent at a point 6 of the real axis P2 + P3 " 2c = -1 4-1 Parts of the real axis belonging to the curve : ]-~,-5[; {-3} Intersections with the real axis : 0 , . e. - 8. 5 43 STUDY OF REGULATION OF LEVEL The figure below shows a process whose input is the opening of the supply valve and the measurement, the level n of the liquid in the container.

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