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Unformatted text preview: E1flflflt¥ifllfl¥fifiitéfiflh# IL-“iEHEflCl'? Control Systems Midterm Examination l. to} Piease define the term “system” in your own words. What are the key for a “system” to be an engineering system-‘3 {5%) {b} Please define the term “control system" in your own words. 1|fia’hat components in a “control system"? [lfl'iai] I components are The ltey 2. The goal of'a control system in a typical feedback control system is to have the output of I'tI II a system y approaching the reference input “r {a} Please draw the block diagram of a feedback control system with all the functional blocks you know. {nae at least two lilo-elm. nearsst five since to be specifies- Please also label the variables oomnmnh'ieed.}(lfl%} “iatrfiilc '1: r- '. - {b} Since we need to have "y" approaching “r”._, why series jfr'sTimaite a system with unity gain between "y" and "r" like in Figure 1'? (10%} FH y F igttre I 3. l[iriven a dynamical system with its signal flow graph to be: Figure 2 {a} Please derive the Transfer function of the system using Mason’s Gain Formula; [5%] {[1} Please derive the state variable model ofthe system; (5%} {e} iii-"hat is the order of the system“? {5%} {d} What are the poles of the system? {5%) {e} Can the order of the system be reduced to 2 with aeceptahie error?I (Safe) misaaetaieeeee‘aamve unseen? 4. Censider the system in Figure 3. where -I. __: 1 = _K.Ls+sj E —{3+HEELEJ= flEs} Kl D1" flEs}_ E {a} Find It; se that the elesed-leep system has a lfl‘Fi: eversheet te a step input. Please sketch the eulput respense and mark the__r1'sfltgn. the eversheetI and the settling time elearlv (10%} _ "_"_"' 1“" {b} Given K3 and a se that the elesed-lta‘re system has a 10% eversheet te a step input and a 2%-settling-time ef l.5see.., what is the steady—state errer at the elesed-leep system? {113%} I4.._ .- Figurey Figure 4 5. An elee1remeehsniea] epen-leep eentrel system is shewn in Figure The generate-r, driven at a eenstent speed, prevides the field veltage fer the meter {v3 = £313. The meter has inertia “EH, hearing frietien f“ and eenstant armature current- The meter terque is prepet‘tienal te the armature euttent {TH = mfg}. The lead has inertia J; and hearing frietienfi. Assume that s = as + sf, 1. = Lg + L;, s = as + sis , f=fs + Hist Figure 5 is] Please derive its dynamic equatiens [with state variables i}. is, at, H}, {111%} {h} Please derive the transfer funetien EU} I lfis} {5%} {e} Please derive the State variable medel a: = A: + Bu, 3; = CA: {with state veeter I = [isr £5. a: 5]]. {5%} [d] Obtain the transfer fitnetien Gfs} hen] the state equatien In [e]. (5%] ...
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This note was uploaded on 02/21/2012 for the course EE 101 taught by Professor 張捷力 during the Spring '07 term at National Taiwan University.

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