Midterm_S08_2

Midterm_S08_2 - EE3530 Midterm ll(Friday 1(Spts A feedback...

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Unformatted text preview: EE3530 Midterm ll (Friday, April 18, 2008) 1. (Spts) A feedback control system is shown below. rlti e(t) 2- a. Find the values of K1 and K2 so that Kv=10 and $0.5; 3 b. Estimate the percentage overshoot, peak time, and settling time (2% tolerance). i t r 2. (7pts) Consider the following feedback system. a. (2pts) Find the condition on Kiand i<p so that the system is stable; b. (2pts) Determine the system type and find KV (with respect to reference input); c. (lpt) Find the steady state error e(m) when r(t)=t (ramp); d. (lpt) Find the steady state response y(°°) when r(t)=0 and wit)=1(t). e. (lpt) Find the steady state response y(°o) if r(t)=t), wit):t. 3. (3pts) Now suppose that the controller in problem 2 is implemented as follows: a. (2pt) Determine the system type and find KV (with respect to reference input); b. (lpt) Find the steady state error e(oo) when r(t)=t (ramp); €aLqu-m [o G 2 .m__. __ 1O __ {O l f [0 KLS 5 (5+I)+IOK2,S 5(51-1 + (ML) SLLM) K;G‘ ’OKI {0 K“ : .____————-—._-=_——-———*————*= T H K, C; SC£+I+IOJ<LDHOKI 5%- madam-{mg K 7—. w:=[OKI_ 220014 2 i+t0’!<:»~ => (zéwfij : Ll+l0 2,). SIOK\ [0K1 s(_.<.+1+l0K»)— I+10K2_ Kv=WSKI€T *—"9/4 5% 6 sac m 2. L L2§ng=U+wKLBl r) LZXD'§> Cu“ 2. (Pi-[0K1] :. L" :2 7T :2 7r 1 ,3éa’7g W Uflfiv (0m [U535 8“ a? G : SCSH) = L a {O i l01<r scum—Hm H L :0 + Su—H) r S+§+ KP L a” KL 6‘ d” I0 S SCél+S+LOKfj L u. 221.36: : §3+873H0Kw5+luki 53 .L. (OK? 5”“ 1 (0K; 5 IOKrIOKL ‘5 iOKL 2 ® 47P€i .Wzfiosu”:% 1 932° 1-. = K? ® ) —,ZU‘ K; I ® yszmg‘fl—Wu) 1L.— Was) I+L SB+S?:F{UK?STIOKC 7.. ‘ S wmwm L90 2 - s '0 ~L' . EL ) 5:; ya) 5-450 S’iafiwlfirsmkg ’:—~O \ way!“ y—m S‘ - p‘—« {OLSL ’1‘ yca) = fl” " Jimmofimom” s—‘vo 5*” ...
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