The discrete state space block defines the relation between the input u=inPort.signal and the output y=outPort.signal in state space form:
x = A * pre(x) + B * u
y = C * pre(x) + D * u
where pre(x) is the value of the discrete state x at the previous sample time instant. The input is a vector of length nu, the output is a vector of length ny and nx is the number of states. Accordingly
A has the dimension: A(nx,nx),
B has the dimension: B(nx,nu),
C has the dimension: C(ny,nx),
D has the dimension: D(ny,nu)
Example:
parameter: A = [0.12, 2;3, 1.5]
parameter: B = [2, 7;3, 1]
parameter: C = [0.1, 2]
parameter: D = zeros(ny,nu)
results in the following equations:
[x[1]] [0.12 2.00] [pre(x[1])] [2.0 7.0] [u[1]]
[ ] = [ ]*[ ] + [ ]*[ ]
[x[2]] [3.00 1.50] [pre(x[2])] [0.1 2.0] [u[2]]
[pre(x[1])] [u[1]]
y[1] = [0.1 2.0] * [ ] + [0 0] * [ ]
[pre(x[2])] [u[2]]