Publication

Data-driven LPV Disturbance Rejection Control with IQC-based Stability Guarantees for Rate-bounded Scheduling Parameter Variations

2025

Abstract

This paper addresses the challenge of asymptotically rejecting sinusoidal disturbances with unknown time-varying frequency and bounded variation rate. We introduce a novel, data-driven 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. Closed-loop 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.

Official source

https://infoscience.epfl.ch/entities/publication/0e5b3c90-f57f-4b36-8182-5c809f2147b3

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2025

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/0e5b3c90-f57f-4b36-8182-5c809f2147b3

About this result

Related concepts (32)

Linear time-invariant system

In system analysis, among other fields of study, a linear time-invariant (LTI) system is a system that produces an output signal from any input signal subject to the constraints of linearity and time-invariance; these terms are briefly defined below. These properties apply (exactly or approximately) to many important physical systems, in which case the response y(t) of the system to an arbitrary input x(t) can be found directly using convolution: y(t) = (x ∗ h)(t) where h(t) is called the system's impulse response and ∗ represents convolution (not to be confused with multiplication).

Frequency domain

In mathematics, physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time. Put simply, a time-domain graph shows how a signal changes over time, whereas a frequency-domain graph shows how the signal is distributed within different frequency bands over a range of frequencies. A frequency-domain representation consists of both the magnitude and the phase of a set of sinusoids (or other basis waveforms) at the frequency components of the signal.

Time-invariant system

In control theory, a time-invariant (TI) system has a time-dependent system function that is not a direct function of time. Such systems are regarded as a class of systems in the field of system analysis. The time-dependent system function is a function of the time-dependent input function. If this function depends only indirectly on the time-domain (via the input function, for example), then that is a system that would be considered time-invariant.

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