20.6.5.3. Discrete State Space

The Discrete State-Space block implements the system defined by

\(\mathbf{x(n+1)}=\mathbf{A}\mathbf{x(n)}+\mathbf{B}\mathbf{u(n)}\)

\(\mathbf{y(n)}=\mathbf{C}\mathbf{x(n)}+\mathbf{D}\mathbf{u(n)}\)

where,
\(u\) is the input signal
\(x\) is the state vector
\(y\) is the output signal.

Dialog box

../_images/image1382.png

Figure 20.76 Discrete State Space dialog box

Table 20.40 Parameters

Parameter(s)

Description

\(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\), \(\mathbf{D}\)

Enter the matrix coefficients.

Initial conditions

Enter the initial state vector.

Sample time

Enter the time interval between samples.

Import large scale State Matrix

When a State Matrix file made by RecurDyn/Linear is very large, this option does not display the data for \(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\), \(\mathbf{D}\).

State Matrix Import

Displays the data in \(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\), \(\mathbf{D}\) after reading a State Matrix file made by RecurDyn/Linear.