Direct data-driven control of LTV systems
Benita Nortmann, Thulasi Mylvaganam
TL;DR
This paper introduces a data-driven control method for discrete-time linear time-varying systems that ensures stability, optimality, and robustness using convex optimization with data-dependent LMIs, applicable even with finite data.
Contribution
It develops a novel data-driven control framework for LTV systems using convex optimization and LMIs, including infinite-horizon guarantees for periodic systems.
Findings
Controllers guarantee bounded trajectories.
Method achieves robustness to noise.
Applicable with finite data sequences.
Abstract
Considering discrete-time linear time-varying systems with unknown dynamics, controllers guaranteeing bounded closed-loop trajectories, optimal performance and robustness to process and measurement noise are designed via convex feasibility and optimisation problems involving purely data-dependent linear matrix inequalities. For the special case of periodically time-varying systems, infinite-horizon guarantees are achieved based on finite-length data sequences.
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Taxonomy
TopicsControl Systems and Identification · Stability and Control of Uncertain Systems · Fault Detection and Control Systems