LAUSR

A nonlinear system with sector‐bounded nonlinearities may be expressed as a quasi‐linear parameter‐varying (LPV) system (convex combination of linear models), being this a well‐known fact. The convex difference inclusion (CDI) modeling framework proposed by Fiacchini and coworkers in several of their works generalizes the quasi‐LPV modeling procedure and proposes robust controllers enlarging polytopic domain of attraction estimates. This works further generalizes the CDI approach to a gain‐scheduled case including, also, some quasi‐convex cases. Controller design is based on convexity properties of two set valued maps describing (with some uncertainty) the state evolution and the state‐dependent set where scheduling variables take values. As most set‐based approaches, the proposal is tractable in low‐dimensional cases. The presented results encompass prior quasi‐LPV and CDI models as particular cases.