Signals and Systems - Electrical Engineering

364 C H A P T E R 6: Application to Control and Communications Hc(s) x(t) e(t) y(t) η(t) + G(s) + − Hc(s) x(t) y(t) η(t) G(s) + ...

6.3 Application to Classic Control 365 The Laplace transform of the overall system output is Y(s)=Hc(s)G(s)X(s)+η(s) whereη(s)=L ...

366 C H A P T E R 6: Application to Control and Communications Remarks A control system includes two very important components: ...

6.3 Application to Classic Control 367 for some valuesB 1 andB 2. Given that the real parts ofs 1 ands 2 are negative, their cor ...

368 C H A P T E R 6: Application to Control and Communications FIGURE 6.7 Cruise control system: reference speed x(t)=V 0 u(t)an ...

6.3 Application to Classic Control 369 The PI controller used here is one of various possible controllers. Consider a simpler an ...

370 C H A P T E R 6: Application to Control and Communications For some initial conditions and inputx(t), with Laplace transform ...

6.3 Application to Classic Control 371 Ha(s) x(t) y(t) G(s) K x(t) y(t) + G(s) − (a)(b) FIGURE 6.8 Stabilization of an unstable ...

372 C H A P T E R 6: Application to Control and Communications appropriate test input for the system; if the input applied to a ...

6.3 Application to Classic Control 373 − 1 −0.8 −0.6 −0.4 −0.2 0 (a) (b) −0.5 0 0.5 σ jΩ RC= 1 RC= 10 0 1020304050 0 0.2 0.4 0.6 ...

374 C H A P T E R 6: Application to Control and Communications Second-Order System A series RLC circuit with the input a voltage ...

6.3 Application to Classic Control 375 − 1 −0.5^0 − 1 −0.8 −0.6 −0.4 −0.2 0 0.2 0.4 0.6 0.8 1 σ jΩ (a) 0 10 20 30 40 50 0 0.5 1 ...

376 C H A P T E R 6: Application to Control and Communications We want to create a MATLAB function that has as inputs the coeffi ...

6.4 Application to Communications 377 figure(2) if t == 1, subplot(311) y = impulse(sys,20); plot(y);title(’ Impulse response’); ...

378 C H A P T E R 6: Application to Control and Communications (b) (a) 0 0.5 −0.5 1 Impulse Response h( t) 0 1020304050607080901 ...

6.4 Application to Communications 379 6.4.1 AM with Suppressed Carrier Consider a message signalm(t)(e.g., voice or music, or a ...

380 C H A P T E R 6: Application to Control and Communications equipment in the transmission path and interference from other si ...

6.4 Application to Communications 381 that is needed. Thus, the commercial AM signal is of the form s(t)=[K+m(t)]cos(ct) where ...

382 C H A P T E R 6: Application to Control and Communications 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 − 1 −0.8 −0.6 −0.4 −0.2 0 0.2 0.4 ...

6.4 Application to Communications 383 FIGURE 6.16 Upper sideband AM transmitter.cis the carrier frequency andBis the bandwidth ...