ats) Consider the 1st order dynamic system given by: G(s)=\frac{1}{a s+b} where a and b are constant. When u = /2 sint is applied, the corresponding input (blue)and output (red) are shown in Fig. 1. During steady-state, the output has the peak of 1,and delay from the input (i.e. time gap between the blue and red circles). The delay turns out to be one-eight of the input period. Based on this observation, determine a and b.

Fig: 1

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Fig: 4