Question

Pole-zero plot of a 4" order system is shown below: note that there are no finite zeros. Which poles me be selected as dominant poles if a 20 order system approximation is considered, and what will be t resulting 24 order system's transfer function. Im j -10 Re -1 х j Lütfen birini seçin: 1 os=-10+j, s=-10-j, and s- +10s +101 1 Os=0, 5=-1, and s(s+1)(s? +10s +101) 1 os 0,5-1, and s(s+1) 1 OS=-10+, s=-1, and (s +1)(s +10- j) BE

Answer 1

-1013 x 110 j -10-1 poles are S=0 S = -1 S = -10+j S =-10- * Dominant poles concept i no fimili of the Among the finite poles lzero system, the poles lose to odigin is called dominate pole. If the distance of location of other poles with respect to location of dominant poles is greater than ave equal to five times, are called oydinary (or) significant peles, if the distance is less than five considered to be dominant pales. are also they times, then they S[SH) (S+60+j) (SHo-j) 4th order To E = 4th order Tor S(SH) (8 +205+101) finally, dominant poles ordinary S=O,S=-1 and TiF [equivalent] dominant pole poles L dominant Transfer function S(S+1) S=0,4$=-1 are dominant poles beacuse they are near to origin 1 S=0; S=-1 and S(S+1)