Consider a simplified cruise control system for an automobil

Consider a simplified cruise control system for an automobile as shown in Figure 1. Given: K=9, G_1(s)=1/s, G_s(s)=1/(s+3), H(s)=1 Consider the design objectives of zeta=0.6, omega_n=4 and K_v^G_A=30 sec^-1. Design a lag-lead compensator and a PID compensator for it. What are the transfer functions G_c(s) of your compensators? Use MATLAB to verify your dominant closed-loop poles location of the compensated system, determine its open-loop gain, and verify that the unit step response satisfies the design objectives. If the design objectives are not satisfied, explain why they are not satisfied. Attach your MATLAB results to justify your design.

Solution

C/R = G*G1*G2*Gc/( 1 +H G*G1*G2*Gc