Control System Toolbox provides algorithms and apps for systematically analyzing, designing, and tuning linear control systems. You can specify your system as a transfer function, state-space, zero-pole-gain, or frequency-response model. Apps and functions, such as step response plot and Bode plot, let you analyze and visualize system behavior in the time and frequency domains.

You can tune compensator parameters using interactive techniques such as Bode loop shaping and the root locus method. The toolbox automatically tunes both SISO and MIMO compensators, including PID controllers. Compensators can include multiple tunable blocks spanning several feedback loops. You can tune gain-scheduled controllers and specify multiple tuning objectives, such as reference tracking, disturbance rejection, and stability margins. You can validate your design by verifying rise time, overshoot, settling time, gain and phase margins, and other requirements.


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Create linear models of your control system as transfer functions, (sparse) state-space models, LPV and LTV models, and other representations. Discretize and resample models. Simplify analysis and control design by reducing model order.

Visualize system behavior in the time and frequency domain. Compute system characteristics such as rise time, overshoot, and settling time. Analyze system stability by computing gain and phase margins and crossover frequencies.tag_hash_105

Interactively design and analyze single-input, single-output (SISO) controllers with the Control System Designer app, using automated tuning methods. Graphically tune common control components using root locus, Bode diagrams, and Nichols charts.

Design gain-scheduled controllers for nonlinear or time-varying plants. Specify requirements and automatically tune gain surface coefficients. Validate the tuning results across the entire operating range of your design.

Analyze and tune control systems modeled in Simulink and analyze its time and frequency domain characteristics using Simulink Control Design. Linearize Simulink models and compute time and frequency responses. Graphically or automatically tune feedback loops modeled in Simulink. 152ee80cbc

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