BUILT-IN MATHEMATICA SYMBOL

SystemsModelStateFeedbackConnect

gives the closed-loop system for the StateSpaceModel object ss with state feedback controller controller.

uses specifications in connections to close the loop.

MORE INFORMATION

The controller controller can be a gain matrix, a StateSpaceModel object, or a TransferFunctionModel object.

The gain matrix can be obtained using StateFeedbackGains, LQRegulatorGains, or DiscreteLQRegulatorGains.

The connections can be specified as in SystemsModelFeedbackConnect.

The schematic of the continuous-time system with a state feedback controller:

EXAMPLES

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Basic Examples (3)

Determine the closed-loop model of a state-feedback system:

Compute the feedback gains to place the poles at

and

for a discrete-time system:

Determine the closed-loop model:

Verify the pole locations:

Determine the closed-loop model with a set of optimal state feedback gains:

Determine the closed-loop model of a state-feedback system:

In[1]:=

Out[1]=

Compute the feedback gains to place the poles at

and

for a discrete-time system:

In[1]:=

Out[1]=

Determine the closed-loop model:

In[2]:=

Out[2]=

Verify the pole locations:

In[3]:=

Out[3]=

Determine the closed-loop model with a set of optimal state feedback gains:

In[1]:=

Out[1]=

Scope (7)

The closed-loop model of a system with state feedback:

The state feedback gains specified as a transfer-function model:

The gains specified as a state-space model:

Positive state feedback gains:

The closed-loop model of a multiple-input system:

The closed-loop system with only the first input as the feedback input:

Use the second input as the feedback input:

Applications (3)

Determine the closed-loop dynamics obtained using StateFeedbackGains:

The closed-loop dynamics using LQRegulatorGains:

The closed-loop dynamics using LQOutputRegulatorGains:

Properties & Relations (1)

SystemsModelStateFeedbackConnect and SystemsModelFeedbackConnect are equivalent when the output matrix is identity and the direct transmission matrix is zero: