Data-driven LPV Disturbance Rejection Control with IQC-based Stability Guarantees for Rate-bounded Scheduling Parameter Variations
Abstract
This paper addresses the challenge of asymptotically rejecting sinusoidal disturbances with unknown time-varying frequency and bounded variation rate. We introduce a novel, datadriven approach for designing Linear Parameter-Varying (LPV) controllers, utilising only frequency domain data from a Linear Time-Invariant (LTI) Multi-Input Multi-Output (MIMO) system, thereby eliminating the need for a parametric model. Our method involves a two-step iterative algorithm that solves convex optimisation problems in the frequency domain. Closedloop stability is guaranteed through Integral Quadratic Constraints (IQC), which characterise the bounded rate variation of the LPV controller’s scheduling parameters. The approach is experimentally validated by designing a controller for the hybrid microvibration damping (MIVIDA) platform, developed for spaceborne applications.
Publication Reference
European Control Conference ECC 2025, Thessaloniki (Greece), pp. 8
Year
2025