MINI PROJECT
Question
For a unity feedback system with the given 𝐺(𝑠) for your group:
1. Manually (show your calculations):
i. Do the Routh Hurwitz table to find the range of 𝐾 for stability
ii. Do the Bode plot to find the range of 𝐾 for stability
iii. Do the root locus plot
2. By using MatLab:
i. Do the Bode plot to find the range of 𝐾 for stability.
ii. Do the root locus to find the range of 𝐾 for stability.
iii. Determine 𝑐(𝑡) by using inverse Laplace for 𝐾=1 and 𝑟(𝑡)=𝑢(𝑡)
iv. Plot the step response 𝑐(𝑡)
Group 1
ABDUL AZIM BIN ABDULLAH 𝐾𝑠(𝑠 + 1)
𝐺(𝑠) =
MOHAMAD ARIF ASYRAFIQ BIN BASARUDIN (𝑠 + 4)(𝑠 + 6)2 (𝑠 2 + 4𝑠 + 64)
MUHAMAD NIZAL NAZRIN BIN MOHD GAZALI
NORAZRA BINTI AZIZAN
WAN MUHAMMAD NAJIB BIN WAN A RAHMAN
Group 2
ABDUL RAHMAN BIN AB MUTALIB 𝐾(𝑠 2 + 4𝑠 + 64)
𝐺(𝑠) =
MOHAMAD ARIF FIKRI BIN MOHAMAD SAFIAN 𝑠(𝑠 + 1)(𝑠 + 4)(𝑠 + 6)2
MUHAMMAD 'ATIF HAFIFI BIN MOHD SAAD
NORSHAZANA BINTI ROSLAN
WAN SAFIYZUL 'AQIL BIN WAN SARMIZI
Group 3
AHMAD ARIFRIDHWAN BIN YAKCOB 𝐾(𝑠 2 + 6𝑠 + 25)
𝐺(𝑠) =
MOHAMAD HELMI BIN CHE HAT (𝑠 + 1)(𝑠 + 2)2 (𝑠 2 + 4𝑠 + 49)
MUHAMMAD AFIF IZZUDDIN BIN AZIZ
NUR ALYA HANA BINTI ABDUL MUTALIB
WANN AZIHIL AZREEQ BIN ARIFIN
Group 4
AHMAD FARHAN BIN MOHAMED HASSAN 𝐾(𝑠 2 + 6𝑠 + 4)
𝐺(𝑠) =
MOHAMAD HUSHAIRY BIN KORI 𝑠 2 (𝑠 + 5)(𝑠 2 + 4𝑠 + 9)
MUHAMMAD AIMAN HAZIQ BIN HABIB ABDULLAH
NUR ATIRAH BINTI MOHD ANUAR
Group 5
AHMAD IRFAN AQIL BIN AZMAN 𝐾(𝑠 2 + 6𝑠 + 4)
𝐺(𝑠) =
MOHAMAD SAZWAN FAIZ BIN MAZLAN 𝑠(𝑠 + 4)2 (𝑠 2 + 4𝑠 + 36)
MUHAMMAD AIZUDDIN BIN KAMARULZAMAN
NUR FATIN NASUHA BINTI ISMAIL
Group 6
AHMAD NABIL KHAN BIN AHMAD ZAIRINI 𝐾(𝑠 2 + 6𝑠 + 36)
𝐺(𝑠) =
MOHAMAD TAUFIQ BIN MA'AROF 𝑠(𝑠 + 3)2 (𝑠 2 + 6𝑠 + 4)
MUHAMMAD AMIR BIN SAIDI
NUR HIDAYAH BINTI AZMAN
Group 7
AHMAD SHUKRI BIN SULAIMAN 𝐾𝑠(𝑠 + 3)
𝐺(𝑠) =
MOHAMMAD AKMAL BIN BUKHARI (𝑠 + 1)(𝑠 + 7)2 (𝑠 2 + 4𝑠 + 25)
MUHAMMAD AMIRUL MUKMININ BIN MOHD RIDUAN
NUR HIDAYAH BINTI TAJUDIN
Group 8
AIMANUL HAKIM AGUS BIN AZMI AGUS 𝐾(𝑠 2 + 4𝑠 + 25)
𝐺(𝑠) =
MOHAMMAD ASYRAF BIN MOHAMMAD RADZI 𝑠(𝑠 + 3)(𝑠 + 4)(𝑠 + 7)2
MUHAMMAD AMIRUL MUKMININ MUHAMMAD
ASWAD @ SUAT
NUR JEHAN BINTI RUZHAN
Group 9
AINNUR RAHIM BIN HASAN 𝐾(𝑠 2 + 6𝑠 + 81)
𝐺(𝑠) =
MOHAMMAD AZFAR BIN ATAN (𝑠 + 1)(𝑠 + 3)2 (𝑠 2 + 4𝑠 + 16)
MUHAMMAD ASYRAFF BIN ABD HALIM
NUR NADHIRAH BINTI ABDUL RAZAK
Group 10
AMIR SYAHMI BIN SABRI 𝐾(𝑠 2 + 6𝑠 + 4)
𝐺(𝑠) =
MOHAMMAD FAUZAN HAMDI BIN JEFFRI 𝑠(𝑠 + 4)2 (𝑠 2 + 4𝑠 + 36)
MUHAMMAD AZHAN BIN ABDULL LAZIT
NUR SABRINA BINTI RAHAMAT
Group 11
AMIRUL AMSYAR BIN AMRAN 𝐾(𝑠 2 + 6𝑠 + 36)
𝐺(𝑠) =
MOHAMMAD FAZLIN BIN AMINUDIN 𝑠(𝑠 + 3)2 (𝑠 2 + 6𝑠 + 4)
MUHAMMAD AZLI BIN IBRAHIM
NUR'AIN KAMILAH BINTI AMRAN
Group 12
ANIS NAJIHAH BINTI ADENAN 𝐾(𝑠 2 + 6𝑠 + 36)
𝐺(𝑠) =
MOHAMMAD HIEZAL ADAM BIN RAMLI 𝑠 2 (𝑠 + 1.5)(𝑠 2 + 4𝑠 + 9)
MUHAMMAD FAIZ BIN ZAHARI
NURFAKHIRA ASYIKIN BINTI MOHD ARIF
Group 13
AZEEM AFFIQ BIN ABU BAKAR 𝐾𝑠(𝑠 + 1.5)
𝐺(𝑠) =
MOHAMMAD HISHAMMUDDIN BIN (𝑠 + 2.5)(𝑠 + 7)2 (𝑠 2 + 4𝑠 + 56.25)
MOHAMMAD ASRI
MUHAMMAD IQMAL BIN KISMUN
NURHASHINA AZIERRA BINTI HASHIM
Group 14
AZHAR BIN LOKMAN 𝐾(𝑠 2 + 4𝑠 + 6.25)
𝐺(𝑠) =
MOHAMMAD NOR BIN SETAPA 𝑠(𝑠 + 3.5)(𝑠 + 4)(𝑠 + 8)2
MUHAMMAD IZZUDDIN NAJAT BIN MOHAMAD
SABRI
NURIZZATI FARAHANIM BINTI JAMSARI
Group 15
DANIEL IKMAL BIN ABU HASSAN 𝐾(𝑠 2 + 6𝑠 + 42.25)
𝐺(𝑠) =
MOHD ARIFF AIMAN BIN ZOLKIFLI (𝑠 + 1)(𝑠 + 1.5)2 (𝑠 2 + 4𝑠 + 16)
MUHAMMAD MUIZZUDDIN BIN OSMAN
NURUL HIDAYAH BINTI ISMAILLUDDIN
Group 16
DARWISYAH BINTI MOHAMMED ZAHID 𝐾(𝑠 2 + 6𝑠 + 20.25)
𝐺(𝑠) =
MOHD IDRIS BIN MAD SHOLEH 𝑠(𝑠 + 2.5)2 (𝑠 2 + 4𝑠 + 42.25)
MUHAMMAD NADZIRUL BIN RAIMEE
NURUL IZZATY BINTI MOHAMED ARIFF
Group 17
DHIYA' GHUFRAN BIN ABDULLAH 𝐾(𝑠 2 + 6𝑠 + 36)
𝐺(𝑠) =
MOHD MUHAIMIN BIN MARZUKHI 𝑠(𝑠 + 4.5)2 (𝑠 2 + 6𝑠 + 20.25)
MUHAMMAD SHAHRUZAMAN BIN SHAWAL
NURULAIN IZZATI BINTI AHMAD
Group 18
DINIE ZIL HAZIQ BIN AZHAR 𝐾(𝑠 2 + 6𝑠 + 25)
𝐺(𝑠) =
MOHD NAZMI BIN ABDULLAH SALOJI 𝑠 2 (𝑠 + 1.5)(𝑠 2 + 4𝑠 + 6.25)
MUHAMMAD SHAKIR BIN MOHD NOR
QHALIF AZALI BIN ZULKIFLY
Group 19
FAIZAL ARIF BIN ABD LATIF 𝐾𝑠(𝑠 + 1.5)
𝐺(𝑠) =
MOHD RAHIMI BIN ABDULLAH (𝑠 + 3.5)(𝑠 + 8.5)2 (𝑠 2 + 4𝑠 + 56.25)
MUHAMMAD SYAHIR BIN JAALAM
RABI'ATUL ADAWIYAH BINTI ZAINUDDIN
Group 20
IKMAL IHSAN BIN ISMAIL 𝐾(𝑠 2 + 4𝑠 + 1)
𝐺(𝑠) =
MOHD RUSYAIDI BIN MD RAZAK 𝑠(𝑠 + 4.5)(𝑠 + 5.5)(𝑠 + 7.5)2
MUHAMMAD YUSRI BIN ZABRI
RAFIQ HARIRI BIN RASHID
Group 21
ISMAT DANIAL BIN SHUKRI 𝐾(𝑠 2 + 6𝑠 + 12.25)
𝐺(𝑠) =
MOHD SHAFIRUL SHAFIQ BIN MOHD ZAHID (𝑠 + 1)(𝑠 + 8)2 (𝑠 2 + 4𝑠 + 2.25)
MUNIRAH BINTI AHMAD
SHAIFUL ADILIN BIN SHAIFUL BAHRIN
Group 22
IZZATUL ASMA BINTI ABDUL MUTALIB 𝐾(𝑠 2 + 6𝑠 + 2.25)
𝐺(𝑠) =
MOHD SUKRI BIN MOHD ROSLI 𝑠(𝑠 + 2.5)2 (𝑠 2 + 4𝑠 + 12.25)
MUNIRAH BINTI MARSHIDI
SITI NOOR MAIZURAH BINTI ROSLAN
Group 23
KHAIRUL NAIM BIN ZAKARIA 𝐾(𝑠 2 + 6𝑠 + 49)
𝐺(𝑠) =
MUHAMAD ADIB BIN ABD AZIZ 𝑠(𝑠 + 2.5)2 (𝑠 2 + 6𝑠 + 20.25)
NAWAL NAJHAN BINTI ZAMRI
SYASYA AQILAH BINTI MOHAMAD NADZRI
Group 24
MIRZA MARZUQI BIN MOHD YUSSOF 𝐾(𝑠 2 + 6𝑠 + 25)
𝐺(𝑠) =
MUHAMAD ANAS BIN ALIAS (𝑠 + 1.5)3 (𝑠 2 + 4𝑠 + 6.25)
NAZATUL HAIZA BINTI ROSLI
TUAN MUHAMMAD SYAHMI BIN TUAN SAHA'ARIF
Group 25
MOHAMAD ADIB BIN ROSLI 𝐾(𝑠 2 + 6𝑠 + 81)
𝐺(𝑠) =
MUHAMAD ASYRAF BIN ZULKARNAIN (𝑠 + 1.5)3 (𝑠 + 5.5)2
NOOR IMAN FITRI BIN ABU BAKAR
WAN MUHAMAD AZMIL MUSHIN BIN WAN AZHAR
Group 26
MOHAMAD ALIF HAIKAL BIN NAZRI 𝐾(𝑠 2 + 6𝑠 + 56.25)
𝐺(𝑠) =
MUHAMAD HAZEEM HAEKAL BIN MAZLAN (𝑠 + 3.5)3 (𝑠 + 4)2
NOOR SHAHIRA BINTI SHAHIDI
WAN MUHAMMAD AZHAD BIN WAN ZAINUDIN