By Glenn A. Kent, David Ochmanek, Michael Spirtas, Bruce R. Pirnie
Lieutenant common Glenn A. Kent was once a uniquely acute analyst and developer of yankee protection coverage within the moment 1/2 the 20th century. His 33-year profession within the Air strength used to be through greater than two decades as one of many prime analysts at RAND. This quantity isn't really a memoir within the basic feel yet quite a precis of the handfuls of nationwide safeguard concerns within which Glenn used to be for my part engaged over the process his occupation. those matters incorporated developing the one built-in operational plan (SIOP), best DoD's respectable evaluate of strategic defenses within the Nineteen Sixties, constructing and reading strategic nuclear palms keep watch over agreements, assisting to carry new weapon platforms to lifestyles, and so on. every one vignette describes the analytical frameworks and, the place applicable, the mathematical formulation and charts that Glenn built and utilized to realize insights into the difficulty handy. the writer additionally relates his roles in a lot of the bureaucratic pulling and hauling that happened as matters have been addressed in the executive.
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Extra info for Thinking About America's Defense: An Analytical Memoir
Example text
1 Temperature control in a room – relay control Let the current room temperature be 15 C. It should be raised to 23 C. 5 sin t and relay gain K ¼ 1 Feedback Control Basics 18 temperature by 8 C. Assume that a wireless temperature sensor is used to measure the room temperature. 2 s. A constant time delay assumption is made to simplify the analytical treatment. Simulate the temperature response. 6. The current room temperature T(t) ¼ Tprevious(t) þ T1(t) is the sum of the previous room temperature Tprevious ¼ 15 C and temperature change T1(t) caused by the step command at the input Tref.
This is confirmed by using the final-value theorem in an analytical calculation. The steady-state error ess can be computed using the final-value theorem from Laplace transform theory. Since the input Tref is a step function, its Laplace transform is Tref(s) ¼ 8/s. 11 Output responses of temperature for increasing values of KP. 0 1 1 8 8 Tref ðsÞ ¼ lim s ¼ À 0:2 s s ! 7 C as observed from the simulation. 7 C. 11, but the system becomes more and more oscillatory, even unstable, when the gain is increased.
22, where the parameters have been changed for convenience. 2 and KI ¼ 1. 2 for the PD controller, unit ramp responses are simulated for comparison. 24). The unit ramp responses, the unit step responses do not differ significantly, especially when more optimal controller parameters are used. In general, a PID controller offers significantly more freedom in the overall control system. 10 Practical Issues There are a number of important practical issues that must be taken into account when the PID controller is used.