1.1 IDENTIFICATION OF THE PARAMETERS OF FIRST-ORDER SYSTEMS = A continuous-time first-order system given by the transfer
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1.1 IDENTIFICATION OF THE PARAMETERS OF FIRST-ORDER SYSTEMS = A continuous-time first-order system given by the transfer
1.1 IDENTIFICATION OF THE PARAMETERS OF FIRST-ORDER SYSTEMS = A continuous-time first-order system given by the transfer function G (s) = ir is sampled at the rate of T samples per second. a S+b 1.1a Using the Tustin's approximation for the s-variable, derive the discrete-time equivalent transfer function P1 (2) = , +azz-1 -, for the first-order system (5) 1+azz-1 1.12 Formulate the identification problem to determine the values of Q1, Q2, Az using measurements of the discrete input and output values. [10] 1.2 IDENTIFICATION OF THE PARAMETERS OF A SECOND-ORDER SYSTEM s+a1 The transfer function of a second-order system is given by G2(s) = - Formulate the (s+b)(s+b) identification problem for the equivalent discrete-time system P2(2). [20]
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