{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Input then what is the output ut ut yt yt 1 0 0 tf

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: o a first-order system. Input Then, what is the output? u(t) u(t) y(t) y(t) 1 0 0 TF from motor input voltage to TF motor speed is 1st-oder motor 1stmotor position is 2nd-order motor 2nd(Partial fraction expansion) 5 How to eliminate steady-state error Make a feedback system with a controller having Make an integrator (copy of Laplace transform of a unit step function): Meaning of K and T K : Gain Gain K=1,T=1 Final (steady-state) value Final (steady- 1 0.8 Controller T : Time constant Time 1 Time when response Time rises 63% of final value Indication of speed of Indication response (convergence) Response is faster as T Response becomes smaller. 0 One has to select controller parameters to stabilize the feedback system. Suppose K=T=1, and obtain such parameters! 7 Amplitude u(t) u(t) 6 0.6 0.4 0.2 0 0 1 2 3 Time 4 5 6 8 DC gain for a general system Settling time of 1st-order systems DC gain : Final value of a unit step response DC For first-order systems, DC gain is K. For firstFor a general stable system G, DC gain is G(0). For G, R...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online