StateSpaceTest
Test component for StateSpace block demonstrating basic functionality.
Creates a simple test system with:
A step input signal
A second-order state space system
Integration of the output for verification
The state space system represents a second-order system with:
States: position and velocity
Single input: force/acceleration
Single output: position
Operating point offset to test that feature
Usage
StateSpaceTest()
Behavior
Source
dyad
# Test component for StateSpace block demonstrating basic functionality.
#
# Creates a simple test system with:
# - A step input signal
# - A second-order state space system
# - Integration of the output for verification
#
# The state space system represents a second-order system with:
# - States: position and velocity
# - Single input: force/acceleration
# - Single output: position
# - Operating point offset to test that feature
component StateSpaceTest
# Step input signal starting at time 1.0 with amplitude 2.0
step = BlockComponents.Step(height=2.0, start_time=1.0)
# Second-order state space system
# Represents: d²x/dt² + 2*damping*freq*dx/dt + freq²*x = freq²*u
# In state space form with x1=position, x2=velocity:
# dx1/dt = x2
# dx2/dt = -freq²*x1 - 2*damping*freq*x2 + freq²*u
# y = x1 (output position)
state_space = BlockComponents.StateSpace(nx=2, nu=1, ny=1, A=reshape([0.0, 1.0, -4.0, -2.0], 2, 2), B=reshape([0.0, 4.0], 2, 1), C=reshape([1.0, 0.0], 1, 2), D=reshape([0.0], 1, 1), x0=[0.5, 0.0], u0=[0.5], y0=[0.1])
# Integrator to accumulate the output for testing
integrator = BlockComponents.Integrator(k=1.0, x0=0.0)
# Terminator for the integrated signal
terminator = BlockComponents.Terminator()
relations
# Connect step input to state space system
connect(step.y, state_space.u[1])
# Connect state space output to integrator
connect(state_space.y[1], integrator.u)
# Connect integrator output to terminator
connect(integrator.y, terminator.u)
metadata {
"Dyad": {
"tests": {
"case1": {
"stop": 5,
"expect": {
"signals": ["integrator.y"],
"initial": {"integrator.y": 0},
"final": {"integrator.y": -18.288754189661404}
}
}
}
}
}
end
Flattened Source
dyad
# Test component for StateSpace block demonstrating basic functionality.
#
# Creates a simple test system with:
# - A step input signal
# - A second-order state space system
# - Integration of the output for verification
#
# The state space system represents a second-order system with:
# - States: position and velocity
# - Single input: force/acceleration
# - Single output: position
# - Operating point offset to test that feature
component StateSpaceTest
# Step input signal starting at time 1.0 with amplitude 2.0
step = BlockComponents.Step(height=2.0, start_time=1.0)
# Second-order state space system
# Represents: d²x/dt² + 2*damping*freq*dx/dt + freq²*x = freq²*u
# In state space form with x1=position, x2=velocity:
# dx1/dt = x2
# dx2/dt = -freq²*x1 - 2*damping*freq*x2 + freq²*u
# y = x1 (output position)
state_space = BlockComponents.StateSpace(nx=2, nu=1, ny=1, A=reshape([0.0, 1.0, -4.0, -2.0], 2, 2), B=reshape([0.0, 4.0], 2, 1), C=reshape([1.0, 0.0], 1, 2), D=reshape([0.0], 1, 1), x0=[0.5, 0.0], u0=[0.5], y0=[0.1])
# Integrator to accumulate the output for testing
integrator = BlockComponents.Integrator(k=1.0, x0=0.0)
# Terminator for the integrated signal
terminator = BlockComponents.Terminator()
relations
# Connect step input to state space system
connect(step.y, state_space.u[1])
# Connect state space output to integrator
connect(state_space.y[1], integrator.u)
# Connect integrator output to terminator
connect(integrator.y, terminator.u)
metadata {
"Dyad": {
"tests": {
"case1": {
"stop": 5,
"expect": {
"signals": ["integrator.y"],
"initial": {"integrator.y": 0},
"final": {"integrator.y": -18.288754189661404}
}
}
}
}
}
end
Test Cases
Test Case case1
julia
plt
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