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Each controller will be designed to meet a specific objective. The major types of control are shown in Figure 1.1.

CONTROL

CONTINUOUS DISCRETE

EXPERT SYSTEMS e.g. TIMERS

Figure 1.1 Control Dichotomy

* Continuous -The values to be controlled change smoothly. e.g. the speed of a car.
o Logical -The value to be controlled are easily described as on-off. e.g. the car motor is on-off. NOTE: all systems are continuous but they can be treated as logical for simplicity.
o e.g. “When I do this, that always happens!” For example, when the power is turned on, the press closes!
* Linear -Can be described with a simple differential equation. This is the preferred starting point for simplicity, and a common approximation for real world problems.

e.g. A car can be driving around a track and can pass same the same spot at a constant velocity. But, the longer the car runs, the mass decreases, and it travels faster, but requires less gas, etc. Basically, the math gets

plc wiring -1.2

tougher, and the problem becomes non-linear.

e.g. We are driving the perfect car with no friction, with no drag, and can predict how it will work perfectly.

o Non-Linear -Not Linear. This is how the world works and the mathematics become much more complex.
o e.g. As rocket approaches sun, gravity increases, so control must change.
* Sequential -A logical controller that will keep track of time and previous events.

The difference between these control systems can be emphasized by considering a simple elevator.

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