Using the gain matrix of Example 9.2 and the electrostatic model described in Chapter 10, simulate the transient performance of the closed-loop linear

electrostatic control system when the desired unexposed and exposed voltages on the photoconductor are given by xd¼[550 100]T volts.

V (volts) -550 -555 -560 -565 -570 -575 -560 -565 -570- -575- -580 -585- V (volts) -580 -590- -585 -595 -590 -600 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 (a) (b) Pitch number Pitch number FIGURE 9.8 (a) Convergence plot of V with respect to pitch number. (b) Plot of actuator Vg(Ug) with respect to pitch number. -86 8 7.8 7.6 74 V (volts) -92 -94 -96 X (ergs/cm) 6.6 -98 6.4 -100 6.21 -102 6 0 2 4 6 8 10 12 14 0 4 6 8 10 12 14 (a) Pitch number Pitch number FIGURE 9.9 (a) Convergence plot of V, with respect to pitch number. (b) Plot of actuator X(U) with respect to pitch number.