Sathyanarayanan, Kiran KumarKiran KumarSathyanarayananPan, GuanruGuanruPanFaulwasser, TimmTimmFaulwasser2024-02-262024-02-262023-07-01IFAC PapersOnLine 56 (2): 632–637 (2023)9781713872344https://hdl.handle.net/11420/45981Recently, data-driven predictive control schemes based on the fundamental lemma by Willems et al. (2005) have received widespread research attention. However, the large and dense Hankel matrices appearing in the equality constraints of the underlying optimal control problem can lead to numerical complications. This paper tailors the fundamental lemma to LTI dynamics resulting from the application of the wavelet transform to input-output trajectory data. Directly using wavelet coefficients to construct Hankel matrices and to formalize the online optimization problem, we propose a data-driven predictive control scheme. Due to the down-sampling nature of the wavelet transform, the scheme is built around Hankel matrices of reduced size, which is advantageous for computations. Furthermore, in the presence of substantial measurement noise the wavelet transform is beneficial for closed-loop performance. We draw upon simulation examples to illustrate the efficacy of the proposed methodology.en2405-896320232632637data-based controlData-driven optimal controlpredictive controlwavelet transformComputer SciencesEngineering and Applied OperationsConference Paper10.1016/j.ifacol.2023.10.1638Conference Paper