Modern Control System Theory and Design, 2nd Edition

PROBLEMS

1.1. Figure P1.1 illustrates the control system for controlling the angular position of a ship’s heading. The desired heading, which is determined by the gyroscope setting, is the reference. An electrical signal proportional to the reference is obtained from a resistor that is fixed to the ship’s frame. Qualitatively explain how this control system operates in following a command for a southbound direction.

Figure p1.1

1.2. Explain how the rudder positioning system discussed in Problem 1.1 can be modified to become a closed-loop control system.

1.3. An electric hot-water heater is illustrated in Figure P1.3. The heating element is turned on and off by a thermostatic switch in order to maintain a desired temperature. Any demand for hot water results in hot water leaving the tank and cold water entering. Draw the simple functional block diagram for this closed-loop control system and qualitatively explain how it operates if the desired temperature of the thermostat is changed.

1.4. Explain how the system discussed in Problem 1.3 operates if the ambient temperature surrounding the tank suddenly changes. Refer to the block diagram.

1.5. Figure P1.5 illustrates a control system using a human operator as part of the closed-loop control system. Draw the block diagram of this liquid ...