That is basically how every manual I have read and wikipedia describes the integral term. Perhaps a bit clearer and more detailed, but essentially the same. See: https://en.wikipedia.org/wiki/PID_controller
There is some confusion going on here. Any manual that makes a statement equivalent to "Integral - is the applied force based on the rate of change of the error." is just wrong.
The term based on rate of change of error is the "differential" or "derivative" term.
The integral term is based on the cumulative sum of the error over time. The integral.
The wikipedia article you linked to states it correctly and clearly in this equation
and then spells it out in English: "D accounts for predicted future values of the error, based on its current rate of change."
Heater,
The details of implementation are not rigid. There is many variations including things like spitting the terms up into separate feedforward and feedback components.
The stock market idea is nonsense. Mostly what I dreamt the night before seems to be that way... amusing, but impossible.
a. I don't have the wealth to control the entire stock market.
b. I have no ability to set price targets to which others will comply.
With motor control, we should start with enough power to drive a motor from a complete stall into optimal speed. And we should be able to drive the motor in either direction or to a stand-still
In investment, there are:
A. Those that make the market (that a fee for buying and selling and make a profit regardless.
B. Those that follow the market (most of us)
C. Those that lead the market (Perhaps the Federal Reserve, the Bank of England, et al.)
Trying to transfer the modeling might take quite a bit of modification.
Comments
A couple more posts in disagreement with my thoughts on PID are going to waste a lot of hours while I dig around in all my dusty books.
Re: “That is not integral. It is differential”
That is basically how every manual I have read and wikipedia describes the integral term. Perhaps a bit clearer and more detailed, but essentially the same. See: https://en.wikipedia.org/wiki/PID_controller
There is some confusion going on here. Any manual that makes a statement equivalent to "Integral - is the applied force based on the rate of change of the error." is just wrong.
The term based on rate of change of error is the "differential" or "derivative" term.
The integral term is based on the cumulative sum of the error over time. The integral.
The wikipedia article you linked to states it correctly and clearly in this equation
and then spells it out in English: "D accounts for predicted future values of the error, based on its current rate of change."
The details of implementation are not rigid. There is many variations including things like spitting the terms up into separate feedforward and feedback components.
I guess we all desire some control in our lives.
Perhaps just the "D" portion can be used since "D accounts for predicted future values of the error, based on its current rate of change.".
a. I don't have the wealth to control the entire stock market.
b. I have no ability to set price targets to which others will comply.
With motor control, we should start with enough power to drive a motor from a complete stall into optimal speed. And we should be able to drive the motor in either direction or to a stand-still
In investment, there are:
A. Those that make the market (that a fee for buying and selling and make a profit regardless.
B. Those that follow the market (most of us)
C. Those that lead the market (Perhaps the Federal Reserve, the Bank of England, et al.)
Trying to transfer the modeling might take quite a bit of modification.