Question

automobile uses electronic feedback to control au brake force on each wheel [15].A block of a brake control system is shown where F(s) and Fa(s) front and rear wheels, respectively desired automobile response on an F()R(s) level of light. A control engineer, N. Minorsky, designed an inno- vative ship steering system in the 1930s for the U.S Navy. The system is represented by the block diagram shown in Figure E2.8, where Y(s) is the ship's course, R(s) is the desired course, and A(s) is the rudder angle [16). Find the transfer function Y(s)/R(s) are the brakin H(s) A(s) G(s) Ys) Gi(s) K R(s) H(s) H(s) FIGURE E2.8 Ship steering system.

Answer 1

Solution >Ys) CCS) Res) H3CS) HCS) Ha (s Negative feeolback sgncal ... RES H2 Cs)jnegcutive feeelbackk sgncl, autfLLt 1+H3CS). Gcs) H2cs). GCS).Gs) 1tHs-G(S GS). s) 1tH3s).Gs) tH2(s).G(S).(s)

T, (S (5A ReS here cs) = Gs).GS IH3S). GCS) + H2CS)- Gs) GS) OutPur CT2(S) K.(s). 1+HS).T( S) T2Cs) K 1+H3rs).Gis) ,). GUS). 6S)tr,cs).G(5)| (S YCs) Res) T2 (s) 1 T2S) So, Yis) RLS) Ks) GCS). GCS L1+HG).Gs)+H,).Gs).&(s)+ K{CS]Gzcs)cs)+()GG1.Gc) k. GCS). G(S) S+S.H3C5).Gs)+S.Hzs).G7 (s).G2$ ) +g.1,()s) (s)tK.Gs)