An integrator is a system that accumulates the values of some input over time. We have now incorporated these capabilities into Wolfram|Alpha with the ability to understand some common systems by name.Ī simple example is the integrator. In Version 8 of Mathematica, we added lots of functions that analyze, design, and simulate a variety of systems, including control systems. Most control systems are like this: sensors feed information back into the system, which is then used to decide on an action. By design, the thermostat creates a kind of closed loop called a “negative feedback loop, which tends to stabilize the temperature around a desired value. There is a closed loop of causation formed between the home’s temperature and the state of the furnace. With a thermostat installed, the reverse is also true: the state of the furnace depends on the temperature of the house (it comes on if the temperature is too low, and turns off if the temperature is too high). The temperature of your home depends on many factors, especially how long and how recently the home’s furnace was on. Using various kinds of sensors and actuators, these systems automatically control most common appliances, industrial processes, and even your body’s own biological processes! A control system is any system or device that controls or regulates the behavior of another system. What do your alarm clock, thermostat, coffeemaker, car radio, anti-lock brakes-and almost every other electrical and mechanical device you encounter in your daily life-all have in common? They are all examples of “control systems, one of the most ubiquitous yet unseen modern technologies.
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