PLEASE USE MATLAB TO SOLVE AND INCLUDE CODE

c) Calculate the zero-order hold discretization of the system (Eqns. (6.7.5) and (6.7.6) on p. 193) for sampling period Ts=0.2min. Hint for c): [Adbd]=[eATS0TseAbd]=[I0]e[A0b0]Ts, as an immediate consequence of the identity e[A0b0]t=[eAt00teAbdbd1]. Can you prove this identity? In summary, the following is the zero-order hold discretization of the linear system of Eg. (6.5.1), with time step Ts : {x[j]=Adx[j1]+bdu[j1]y[j]=cx[j]+du[j] where Ad=eATs,bd=0TseAtbdt