State feedback controller

| Vectorized |
in the palette on the schematic

The block implements a mathematical model of a discrete state feedback controller.

The controller is used to control linear systems in control loops equipped with a feedback link.

The block is a submodel, the structural diagram of which as part of the closed-loop system is shown in the figure (Figure 1):

Рисунок 1. Structural diagram of the system equipped with a state feedback controller.

The output signal of the block is determined by the following ratio:
where K is the controller feedback matrix, xe is the extended system state vector that is equal to:
where x is the system state vector, xi is the integral of the error signal.

The error integral, xi, is an additional state that provides a zero steady-state error for a closed-loop system.

Input ports

Output ports

Properties

Parameters

None