20.6.4.4. State Space

The State Space block implements a state-space system which is defined by

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

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

where, \(\mathbf{x}\) is the state vector, \(\mathbf{u}\) is the input signal vector, \(\mathbf{y}\) is the output signal vector, \(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\), \(\mathbf{D}\) are matrix coefficients of the system.

Dialog box

Figure 20.68 State Space dialog box

Table 20.34 Parameters

Parameter(s)	Description
\(\mathbf{A}\), \(\mathbf{B}\), \(\mathbf{C}\), \(\mathbf{D}\)	Display the matrix coefficients of the system.
Initial condition	Displays the initial condition for the state vector.
Abs tolerance	Enter the value for the Absolute tolerance. If the Abs tolerance is inputted as -1, the value defined in the Simulation Parameter dialog box is used. If the Abs tolerance is inputted as a value, this value is used instead of the value defined in the Simulation Parameter dialog box.
Import large scale StateMatrix	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.