Publication

Data-Driven Iqc-Based Adaptive Disturbance Rejectioncontrol with Robust Performance

2024

Abstract

This paper explores the challenge of rejecting sinusoidal disturbances with unknown time-varying frequency. A novel data-driven approach for designing linear parameter-varying (LPV) controllers ensuring robust performance is introduced. The method leverages only frequency domain data from a Linear Time-Invariant (LTI) Multi-input Multi-output (MIMO) system. A parametric model of the plant is not required for the control design. A two-step iterative algorithm involving convex optimisation problems in the frequency domain is proposed. Robust $\mathcal{H}_2$ and $\mathcal{H}_\infty$ performance is ensured using Integral Quadratic Constraints (IQC) that characterise the bounded variation rate of the disturbance frequency. Experimental validation is provided through results obtained on a hybrid microvibration damping (MIVIDA) platform designed for space applications.

Official source

https://infoscience.epfl.ch/entities/publication/9d444030-7dfc-4899-bc77-3bc955d54f03

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2024

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/9d444030-7dfc-4899-bc77-3bc955d54f03

About this result

Related concepts (31)

Control theory

Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability; often with the aim to achieve a degree of optimality. To do this, a controller with the requisite corrective behavior is required.

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.

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).

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