H(s) with Limit and Reset

Input/output
Input: u, react, init
Output: y, state

Parameters

Y(s) = H(s).U(s)

a is an n dimension vector, b is an m dimension vector. y is limited between lim1 and lim2

Conditions:

n >= 0

m >= 0

lim1 < lim2

Microprocessor reset type: Rising edge, falling edge or none

Output state :

If lim 2 is reached, state = 1, no limit used = 0

and if lim 1 is reached, state = -1

The init signal allows users to specify the integrator initial conditions.