parameters? (3 marks) c) Using mathematical equations differentiate a one-sided Z-transform from a two-sided Z-transform. Hence, state two applications of Z-transform 10K QUESTION 4 a) Find the stable range of the gain K for the vehicle position control system with the analog transfer function G(s) and with DAC s(s+10) and ADC if the sampling period is 0.05s (6 marks) b) Determine the asymptotic and BIBO stability of the following systems 8(z-0.2) H(z) = (z-0.1)(z-1) 5(z-0.3) (ii) H(z) = (z-0.2)(z-0.1) 4(2-0.2) (iii) H(z) (6 marks) (z-0.2)(z-0.1) c) Define the following parameters for characterizing transient response of a control system to a unit step input (i) Settling time (ii) Peak time (iii) Time constant (6 marks) BT/COLENG/EEE 504/EXAM JUNE2019Page 3 parameters? (3 marks) c) Using mathematical equations differentiate a one-sided Z-transform from a two-sided Z-transform. Hence, state two applications of Z-transform 10K QUESTION 4 a) Find the stable range of the gain K for the vehicle position control system with the analog transfer function G(s) and with DAC s(s+10) and ADC if the sampling period is 0.05s (6 marks) b) Determine the asymptotic and BIBO stability of the following systems 8(z-0.2) H(z) = (z-0.1)(z-1) 5(z-0.3) (ii) H(z) = (z-0.2)(z-0.1) 4(2-0.2) (iii) H(z) (6 marks) (z-0.2)(z-0.1) c) Define the following parameters for characterizing transient response of a control system to a unit step input (i) Settling time (ii) Peak time (iii) Time constant (6 marks) BT/COLENG/EEE 504/EXAM JUNE2019Page 3