Question

5Far the pelfering se orckrfysens Ard , n sp a phase and plet he tegaons e Design Euc h 16 TIs) .354 16 sysam Choose the Wa Ehe step Dls) 6- For tha syshenn shonn un com fa faizure dle) 's nwanted ditursmnee fu ne tion K ALS) RIs) + Delermine the value of K wden the stealy- state errer of elt) to dlt) 's less than . erelrle-elt), fmd the kem ype Des For the ope n-Jeap twns fer fanehen fthe negahve uny gain feedhaak Syskemis Gis)HIs}=(S+2) sho aFrad i k (1-5)5 in for f- clse-tonp chorackerske eguatin Frad he alae of k suek Hlat the chorme lerishe erua ren Aas rOots imaginary a is. Frnd these mots Mre Pouth Hrwitz caheriea to find the range of k for which fzikm of following fieue issable s) Klsta els) 6+6 S+7

Answer 1

.ي پرش 16 ال3بى =لاد = 6اخ بد2: se ماد مد وهه e ح * nها ﴿6 د,چ 3د وه رج_ انت 2x4 oه •3sو مت//س ٢ TT ا,مده ± - ·c¤ح هeک د84.ه = به با = a. 6 See = ع X4 ک3 ره جی Te 2. S1see حط TuD s.e د . ه ـك r۰ e =$ o +۰o ، ع د می+4o5ه ى و ma م امج د .oeo,| ع.ه = م ح مج« د٠٥ =حجکچـ ی ٢ TT م٦ ن س مص . ا - بد . ه ت ال۰اه" ۶ با ه -ه اا د رم به ـد»Cxد مooح] ج ف

KS t2) SCSD Ch e o= (*»k. {nh+1 SCS-12 s2- stksaKニ0 s2t (k-)stgpo Standar ch. e? (k-1) R (K-2 =(k-)2 k: 3.F3,0.2679 both DIs ae o ani So S-d(S oing kouth C terfg 2 K fr uained ocillatiom

Closed oop emafes fn cH'on guag (S+7) SesH LSt3) charctensrics e?: Rst29 Cs+6) Sust1D3) ist7J 7SLS1DLS+3) LS+7) + K C8I2J LS+ 6) = 0 マ C(S+)(°+jost2j +k(s248s+12)=0 ; s(s+1os4218+5+1os+2リ+ks48st129=0 と+58 + pittol にすolt 21+E)S- 12K0 Roksh-Murstrz crôterie (31+K) 21+k)x-21+8K) 12 k 320 2kx 1+k-132k 22o Ait mut be frenpes than zeno. fur 3Kく32 o 3 32

omd 1320- 2 K21. O - 132 k 14S2 K70 G 720 2SE0- 63k-24k- 2 6720 くo K+s. 8) (k-49.2) (-5.67, 49.2) 49.2 -S.68 12KO ko from qad iíi 0<Kく49.2 Ans