Proportional integral (PI) controller
control block
PI
Proportional Integral
Diagram
Proportional integral (PI) controller diagram
Syntax:
- function name: pictl
- input variable : \(x_k\)
- output variable: \(x_j\)
- data name, parameter name or math expression for \(K_I\)
- data name, parameter name or math expression for \(K_p\)
Internal states : variable \(x_i\)
Discrete variable : none
Equations
\[ \begin{align} \dot{x_i} = K_i x_k \\ 0 = K_p x_k + x_i - x_j \end{align} \]
Initialization of internal state variables
\[ x_i = x_j \]