Discrete state variables

		`\| Vectorized \|`
`in the palette`	`on the schematic`	`\| Vectorized \|`

The block implements the description of a multidimensional linear dynamic system in matrix form:

where A, B, C, D are matrices, namely: eigenmatrix, input matrix, output matrix and bypass matrix, respectively; x[k] is a vector of state variables (dimension N_x); u[k] is an input vector (dimension N_u); y[k] is an output vector (dimension N_y).

The dimension of the matrix A is N_x×N_x. The dimension of the matrix B is N_u×N_x. The dimension of the matrix C is N_x×N_y. The dimension of the matrix D – N_u×N_y.

Inputs

input – the port for the input signal of the block.

Outputs

output – the output port of the block.

Properties:

Sampling period – sampling period of T block calculation.
Number of state variables – N_x.
Number of input actions – N_u.
Number of outputs – N_y.
Matrix A(Nx·Nx).
Matrix B(Nu·Nx).
Matrix C(Nx·Ny).
Matrix D(Nu·Ny).
Initial conditions (Nx) – vector of initial conditions, dimension N_x.

Parameters

none

Прим.:

By default, the block implements scalar input signal processing.
Coefficients a_i, b_j are introduced according to increasing powers z. For the proper operation of this unit, it is necessary to set the maximum integration step no more than 0.5·T. When integrating with a constant step, it is recommended to set the step such that the quantization period is a multiple of the integration step T = k·h, where k, h is an integer and the integration step.