1-) An IMC based PID design for the following first order dead time Process do it. A detailed/regular description of how the equations you use for the desisn ore derived Explain/wite the numbers as follows and make Your colculations. gp(s)=2s+16.4e3s 2-) A first order S1SO Process in the form of a differantiot equation The mathemotical madel is as follows. Tdtdy+y=km,25k=9,75t=0(ndendtime) a.) Write the tronster function of this Process in Laflace form. b) To control this process an liternal mabl Cantrol in the form of a Propoctiond Integro) (Fedback PY) with a filter constant >=0,27 Design the inspector. 3.) Desion an IMC based PI controller for the following unstole Process. A detailed/regulor dexiftion of hasid the \&usations you ise for the desi3n ase derived exploin / vrite the numbers and make Jour eaberictions. a) gp(s)=5+14,2 b) Se(s)=(2s+1)(s+1)311 1-) An IMC based PID design for the following first order dead time Process do it. A detailed/regular description of how the equations you use for the desisn ore derived Explain/wite the numbers as follows and make Your colculations. gp(s)=2s+16.4e3s 2-) A first order S1SO Process in the form of a differantiot equation The mathemotical madel is as follows. Tdtdy+y=km,25k=9,75t=0(ndendtime) a.) Write the tronster function of this Process in Laflace form. b) To control this process an liternal mabl Cantrol in the form of a Propoctiond Integro) (Fedback PY) with a filter constant >=0,27 Design the inspector. 3.) Desion an IMC based PI controller for the following unstole Process. A detailed/regulor dexiftion of hasid the \&usations you ise for the desi3n ase derived exploin / vrite the numbers and make Jour eaberictions. a) gp(s)=5+14,2 b) Se(s)=(2s+1)(s+1)311