An engineering plant can be modelled and the transfer function can be expressed as 2 1.8...

  

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An engineering plant can be modelled and the transfer function can be expressed as 2 1.8 where, 1 ≤ a ≤ 10,0 ≤p<1. You are requesting to design a suitable controller, C(s), that with unity negative feedback, the closed-loop system's time response under a unit step input will fall within the two envelops, 11 e 2t, as shown in the following graph. 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 1+e-2t Response should within this region 1-6-21 0.5 G(s) 1 = a s+1+p 1.5 time (sec) 2 2.5 3 Tasks: 1. Determine the value of a and p, as well as the controller and demonstrate using MATLAB that the response satisfy the constraint. 2. xplain the design of the controller, using the techniques learned from the lecture, e.g. root-locus, etc. An engineering plant can be modelled and the transfer function can be expressed as 2 1.8 where, 1 ≤ a ≤ 10,0 ≤p<1. You are requesting to design a suitable controller, C(s), that with unity negative feedback, the closed-loop system's time response under a unit step input will fall within the two envelops, 11 e 2t, as shown in the following graph. 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 1+e-2t Response should within this region 1-6-21 0.5 G(s) 1 = a s+1+p 1.5 time (sec) 2 2.5 3 Tasks: 1. Determine the value of a and p, as well as the controller and demonstrate using MATLAB that the response satisfy the constraint. 2. xplain the design of the controller, using the techniques learned from the lecture, e.g. root-locus, etc.

Answer rating: 100% (QA)

1 To determine the value of a and p we can use the following steps Plot the root locus of the openloop system Matlab s tfsG 1s1asprlocusG This will sh... View the full answer