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Gain Scheduling

Tune gain-scheduled controllers for nonlinear plants

A gain-scheduled controller is a controller whose gains are automatically adjusted as a function of time, operating condition, or plant parameters. Gain scheduling is a common strategy for controlling systems whose dynamics change with time or operating condition. Such systems include linear parameter-varying (LPV) systems and large classes of nonlinear systems. To tune gain-scheduled controllers in Simulink®, you represent the variable gain as a function of the scheduling variables using the tunableSurface command. For an overview of the workflow for tuning gain-scheduled controllers, see Gain Scheduling Basics.

Functions

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tunableSurfaceCreate tunable gain surface for gain scheduling
polyBasisPolynomial basis functions for tunable gain surface
fourierBasisFourier basis functions for tunable gain surface
ndBasisBasis functions for tunable gain surface
viewSurfVisualize gain surface as a function of scheduling variables
evalSurfEvaluate gain surfaces at specific design points
getDataGet current values of tunable-surface coefficients
setDataSet values of tunable-surface coefficients
slTunerInterface for control system tuning of Simulink models
slTunerOptionsSet slTuner interface options
systune (slTuner)Tune control system parameters in Simulink using slTuner interface
varyingGoalVariable tuning goal for gain-scheduled controllers
getGoalEvaluate variable tuning goal at specified design point

Blocks

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Varying Lowpass FilterButterworth filter with varying coefficients
Varying Notch FilterNotch filter with varying coefficients
PID ControllerContinuous-time or discrete-time PID controller
PID Controller (2DOF)Continuous-time or discrete-time two-degree-of-freedom PID controller
Varying Transfer FunctionTransfer function with varying coefficients
Varying State SpaceState-space model with varying matrix values
Varying Observer FormObserver-form state-space model with varying matrix values
Discrete Varying LowpassDiscrete Butterworth filter with varying coefficients
Discrete Varying NotchDiscrete-time notch filter with varying coefficients
Discrete PID ControllerDiscrete-time or continuous-time PID controller
Discrete PID Controller (2DOF)Discrete-time or continuous-time two-degree-of-freedom PID controller
Discrete Varying Transfer FunctionDiscrete-time transfer function with varying coefficients
Discrete Varying State SpaceDiscrete-time state-space model with varying matrix values
Discrete Varying Observer FormDiscrete-time observer-form state-space model with varying matrix values
Closed-Loop PID AutotunerAutomatically tune PID gains based on plant frequency responses estimated from closed-loop experiment in real time
Change Operating PointsSwitch between operating points during simulation (Since R2023b)
PID Gain SchedulerLookup table based gain scheduling with PID array (Since R2023b)
PID Gains Store and UpdateStore and update tuned PID gains tuned using Closed-Loop PID Autotuner (Since R2023b)

Topics

Gain-Scheduled Control Systems

  • Gain Scheduling Basics
    Gain scheduling is an approach to control of non-linear systems using a family of linear controllers, each providing satisfactory control for a different operating point of the system.
  • Model Gain-Scheduled Control Systems in Simulink
    In Simulink, model gain schedules using lookup tables, interpolation blocks, or MATLAB Function blocks.

Tune Gain Schedules

HL-20 Autopilot Case Study