ConnectSystemModelController
ConnectSystemModelController[model,controller]
connects the system model model with a controller according to the controller data controller.
Details
 ConnectSystemModelController is typically used to connect a controller to a SystemModel plant model and give the closedloop system back. The resulting system can then be simulated and analyzed for realworld performance.
 The model can be a SystemModel object, a full model name string or a shortened model name accepted by SystemModel.
 ConnectSystemModelController["NewModel",…] gives the created model the name "NewModel".
 The controller is a SystemsModelControllerData object produced by control design functions.
 With state feedback from model, the control design functions include:

StateFeedbackGains pole placement state feedback LQRegulatorGains linear quadratic optimal control DiscreteLQRegulatorGains discretetime linear quadratic optimal control ModelPredictiveController constrained model predictive controller  With output feedback from model, the controller design functions include:

EstimatorRegulator assembling state feedback and state estimator LQGRegulator linear quadratic control and estimator PIDTune automatically tuned PID controller  ConnectSystemModelController returns a SystemModel.
Examples
open allclose allBasic Examples (1)
Scope (16)
StateFeedbackGains (3)
Start with a model for a submerging submarine:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Perturb the submarine with a vertical force:
Simulate the closedloop system with the same disturbance:
Plot the depth of the submarine in the original model:
In the closedloop system, the submarine changes its density to preserve its depth:
Start with a model for a spacecraft in a circular orbit:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Simulate the original model with an initial velocity:
Simulate the closedloop system with the same initial velocity:
Plot the deviations from the circular trajectory in the original model:
The closedloop system brings the spacecraft back to its circular orbit:
Start with a model for an inverted pendulum:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Apply a tangential force to the pendulum and simulate it:
Simulate the closedloop system with the same disturbance:
Plot the angle of the pendulum in the original model:
The closedloop system applies a horizontal force and brings the pendulum back to the vertical position:
LQRegulatorGains (2)
Start with a model for a continuous stirredtank reactor:
Linearize it around an equilibrium point:
Generate the closedloop system:
Simulate the original model with a deficit in the concentration of the reactant from its equilibrium value:
Simulate the closedloop system with the same initial condition:
Plot the change in reactant concentration in the original model:
The closedloop system controls the flow rate and brings the concentration back to the equilibrium value:
Start with a model for a ball placed on top of a beam that can rotate around its center of mass:
Linearize it around an equilibrium point:
Generate the closedloop system:
Simulate the original model placing the ball at the edge of the beam:
Simulate the closedloop system with the same initial condition:
Plot the position of the ball, measured from the middle of the beam, in the original model:
The closedloop system applies a torque and brings the ball back to the middle of the beam:
DiscreteLQRegulatorGains (2)
Start with a model for a continuous stirredtank reactor:
Linearize it around an equilibrium point:
Generate the closedloop system:
Simulate the original model with a deficit in the concentration of the reactant from its equilibrium value:
Simulate the closedloop system with the same initial condition:
Plot the change in reactant concentration in the original model:
The closedloop system controls the flow rate and brings the concentration back to the equilibrium value:
Start with a model for a ball placed on top of a beam that can rotate around its center of mass:
Linearize it around an equilibrium point:
Generate the closedloop system:
Simulate the original model placing the ball at the edge of the beam:
Simulate the closedloop system with the same initial condition:
Plot the position of the ball, measured from the middle of the beam, in the original model:
The closedloop system applies a torque and brings the ball back to the middle of the beam:
EstimatorRegulator (2)
Start with a model for a spacecraft in a circular orbit:
Linearize it around an equilibrium point:
Design a controller and observer and put them together in EstimatorRegulator:
Generate the closedloop system for the controlled model:
Simulate the closedloop system with an initial velocity:
The closedloop system brings the spacecraft back to its circular orbit:
Start with a model for an inverted pendulum:
Linearize it around an equilibrium point:
Design a controller and observer and put them together in EstimatorRegulator:
Generate the closedloop system for the controlled model:
Simulate the closedloop system with an initial angle away from the equilibrium:
The closedloop system applies forces to bring the pendulum back to vertical position:
LQGRegulator (2)
Start with a model for a continuous stirredtank reactor:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Simulate the original model with a deficit in the concentration of the reactant from its equilibrium value:
The closedloop system controls the flow rate and brings the concentration back to the equilibrium value:
Start with a model for a ball placed on top of a beam that can rotate around its center of mass and add some rotational damping:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Simulate the closedloop system placing the ball away from the middle of the beam:
The closedloop system applies a torque and brings the ball back to the middle of the beam:
PIDTune (1)
ModelPredictiveController (2)
Start with a model for a camera stabilizer:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Perturb the system with a vertical force:
Simulate the closedloop system with the same disturbance:
Plot the position of the camera in the original model:
In the closedloop system, the position of the camera does not change as much:
Start with a model for a continuous stirredtank reactor:
Linearize it around an equilibrium point:
Generate the closedloop system for the controlled model:
Simulate the original model with a deficit in the concentration of the reactant from its equilibrium value:
Simulate the closedloop system with the same initial condition:
Plot the change in reactant concentration in the original model:
The closedloop system controls the flow rate and brings the concentration back to the equilibrium value:
Tracking (2)
Start with a model for a submarine:
Linearize it around an equilibrium point:
Design a controller that tracks the depth of the submarine:
Generate the closedloop system for the controlled model:
Simulate the closedloop system providing a reference signal for the depth and noise:
Plot the reference and the output:
Plot the density change needed to reproduce the reference:
Start with a model for a ball placed on top of a beam that can rotate around its center of mass:
Linearize it around an equilibrium point:
Design a controller that tracks the position of the ball:
Generate the closedloop system for the controlled model:
Simulate the closedloop system providing a reference signal for the position and noise:
Text
Wolfram Research (2021), ConnectSystemModelController, Wolfram Language function, https://reference.wolfram.com/language/ref/ConnectSystemModelController.html (updated 2022).
CMS
Wolfram Language. 2021. "ConnectSystemModelController." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/ConnectSystemModelController.html.
APA
Wolfram Language. (2021). ConnectSystemModelController. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ConnectSystemModelController.html