The aim of this assignment is to provide a practical solution to the control systems problems....

  

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The aim of this assignment is to provide a practical solution to the control systems problems. In this assignment, students need to apply all theoretical knowledge that learned in the class. From the modelling theories to the controller design methods need to be used for students to answer the given questions. The technical report based on the IEEE format needs to be prepared by students to report all the works. This will give a good experience to students in writing a technical report which is well known to be one of important elements for electronic engineer. Part 1: Modelling in frequency domain and time domain. According to Figure (c), i. Derive the transfer function of the system in frequency domain. Then, analyse its unit step response using MATLAB. Identify the poles and zeros location of the system. Convert the transfer function of the system to state-space representation. Prove the conversion to state-space representation using Matlab toolbox. Again, produce the unit step response of the system. Discuss your observation based on both transfer function and state-space representation modelling. ii. iii. T(0) fe 2 kg 2 N.m.rad¹ 0000 4 N.m.s.rad 6 N.m.s.rad G(s) = 0₂(1) 1 N-m-s/rad 8₂ (s) T(s) Figure (c): Mechanical Rotational System The aim of this assignment is to provide a practical solution to the control systems problems. In this assignment, students need to apply all theoretical knowledge that learned in the class. From the modelling theories to the controller design methods need to be used for students to answer the given questions. The technical report based on the IEEE format needs to be prepared by students to report all the works. This will give a good experience to students in writing a technical report which is well known to be one of important elements for electronic engineer. Part 1: Modelling in frequency domain and time domain. According to Figure (c), i. Derive the transfer function of the system in frequency domain. Then, analyse its unit step response using MATLAB. Identify the poles and zeros location of the system. Convert the transfer function of the system to state-space representation. Prove the conversion to state-space representation using Matlab toolbox. Again, produce the unit step response of the system. Discuss your observation based on both transfer function and state-space representation modelling. ii. iii. T(0) fe 2 kg 2 N.m.rad¹ 0000 4 N.m.s.rad 6 N.m.s.rad G(s) = 0₂(1) 1 N-m-s/rad 8₂ (s) T(s) Figure (c): Mechanical Rotational System

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ANSWER Part i The transfer function of the system in frequency domain can be derived as follows 468e4 468e4 where 20002 151 1 The unit step response o... View the full answer