Use linear time invariant system model object in Simulink
Control System Toolbox
The LTI System block imports linear system model objects into the
Simulink® environment. You specify the LTI model to import in the LTI
system variable parameter. You can import any type of proper linear
time-invariant dynamic system model. If the imported system is a state-space (
ss) model, you can specify initial state values in the Initial
LTI system variable — Linear system
dynamic system model
Specify the linear system for the block as a MATLAB® expression or a variable in the MATLAB workspace, the model workspace, or a data dictionary. The model can be SISO or MIMO.
Most linear time-invariant dynamic system models are supported, except:
Frequency-response data models, such as
Nonlinear identified models, such as
Models with unmodeled dynamics, such as
The specified model must be proper (see
The model can be either continuous time or discrete time. When the LTI system block is in a Simulink model with synchronous state control (see the State Control (HDL Coder) block), you must specify a discrete-time model.
Simulink converts the model to its state-space equivalent prior to initializing the simulation.
Initial states (state-space only) — Initial state values for state-space model
 (default) | vector | scalar
If the linear system is in state-space form, specify the initial state
values as a vector with as many entries as the system has states. If you
specify a scalar value, the block applies that value to each state in the
system. The default value,
, initializes all states to
The concept of initial state is not well-defined for linear systems that are not in state-space form, such as transfer functions or zero-pole-gain models. For such models, the initial state depends on the choice of state coordinates used by the realization algorithm. As a result, the block ignores this parameter for such models.