In practice, you replace this continuum of plant models by a finite set of linear models
obtained for a suitable grid of σ values This replacement amounts to sampling the LPV
dynamics over the operating range and selecting a representative set of σ values, your
design points.
Gain-scheduled controllers yield best results when the plant dynamics vary smoothly
between design points.
Obtaining the Family of Linear Models
If you do not have this family of linear models, there are several approaches to obtaining
it, including:
- If you have a Simulink model, trim and linearize the model at the design points on
page 11-20. - Linearize the Simulink model using parameter variation on page 11-23.
- If the scheduling variable is time, linearize the model at a series of simulation
snapshots on page 11-23.
Plant Models for Gain-Scheduled Controller Tuning