User:Saung Tadashi/Clegg integrator

Clegg integrator or reset integrator  is an analog integrator used in the design of controllers for control systems. It was proposed by J. C. Clegg in 1958.

Definition
The Clegg integrator can be described by the following equations:

$$\left\{\begin{array}{ll}{\dot{u}(t)=e(t)} & {\text { when } e(t) \neq 0} \\ {u\left(t^{+}\right)=0} & {\text { when } e(t)=0}\end{array}\right.$$

where e is the error input to the integrator and u is the output. The reset happens exactly at the time $$t^{+}$$when there is a zero crossing of the input.

TODO

 * Add circuit implementation
 * Add describing function analysis