Control System Toolbox

Tuning Control Systems

Control System Toolbox lets you systematically tune control system parameters using SISO and MIMO design techniques.

Tuning PID Controllers

Control System Toolbox provides tools for manipulating and tuning PID controllers through the PID Tuner app or command-line functions. You can:

  • Use PID objects to represent continuous-time or discrete-time PID controllers in standard or parallel form
  • Automatically tune PID gains to balance performance and robustness
  • Specify tuning parameters, such as desired response time and phase margin

PID Control Design with Control System Toolbox 2:22
Design PID controllers using Control System Toolbox.

If a linear model of the plant is not available, you can identify a plant model from measured input-output data directly in the PID Tuner app using System Identification Toolbox.

PID Controller Tuning Based on Measured Input-Output Data 3:52
Identify a plant model from measured input-output data and use this model to tune PID Controller gains.


Tuning SISO Controllers

The Control System Designer app lets you the design and analyze SISO control systems. You can:

  • Design common control components, such as PIDs, lead/lag networks, and notch filters
  • Graphically tune SISO loops using classical tools, such as root locus, Bode diagrams, and Nichols charts
  • Monitor closed-loop responses and performance requirements in real time while tuning your controller
  • Evaluate design factors, such as choice of sample time and controller complexity

Control System Design with Control System Tuning App 4:40
Design control systems with the Control System Tuning app.

In addition to standard model representations, such as transfer function and frequency-response data, the Control System Designer app supports systems with time delays. You can also work with several plant models simultaneously to evaluate your control design for different operating conditions.

Simulink Control Design extends Control System Toolbox by enabling you to tune controllers in Simulink that consist of several SISO loops. You can close SISO loops sequentially, visualize loop interactions, and iteratively tune each loop for best overall performance. Simulink Control Design lets you export the tuned parameters directly to Simulink for further design validation through nonlinear simulation.

When used with Simulink Design Optimization™, the Control System Designer app lets you optimize the control system parameters to enforce time-based and frequency-based performance requirements. When used with Robust Control Toolbox, the app lets you automatically shape open-loop responses using H-infinity algorithms.

Nonlinear Plant Control at Different Operating Points 5:27
Design and analyze a controller for different operating points of a nonlinear plant simultaneously.

Tuning MIMO Controllers

Control System Toolbox supports established methods for MIMO design, including LQR/LQG and pole-placement algorithms. It also provides tools for designing observers, including Kalman filters.

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Teaching Controls Using Web-Based Tutorials

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