Towards Data-Driven LPV Controller Synthesis Based on Frequency Response Functions

Abstract

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Frequency Response Data-Driven LPV Controller Synthesis for MIMO Systems

“…The feedback interconnection (10) achieves robust performance w.r.t. (12) if it is robustly stable and if there exists some Π d ∈ Π d such that (11) holds for all trajectories of (10) generated by w ∈ L nw 2 . Corollary 3.…”

“…While time-domain approaches have been developed, e.g. [10], frequency domain methods [11], [12] mainly focus on single-input single-output (SISO) LPV systems. Common drawbacks of these methods include conservative stability and performance constraints, and limited freedom in the controller parameterization.…”

Frequency Response Data Based LPV Controller Synthesis Applied to a Control Moment Gyroscope

“…See [21, Chapter 9.2] for an overview of OBF based LPV model structures. The OBF controller parameterization enables tuning of both the poles and zeros of the controller, in contrast to previous data-driven frequency-domain LPV tuning methods [17]- [19]. Additional controller requirements are discussed in [28].…”

“…Based on a homotopy argument, (19) corresponds to Condition 1b) in Theorem 1, which through 1c) is equivalent with…”

Projeto de controladores LPV baseado em dados para planta não linear

“…Quando o sistema não linear não opera em apenas um ponto de equilíbrio, o desempenho do sistema em malha fechada operando com um controlador LIT fica deteriorado, e estruturas mais complexas de controladores devem ser projetadas. Posto isto, existem na literatura algumas extensões de métodos de controle baseado em dados para projetar controladores não lineares, como a apresentada por Bazanella e Neuhaus (2014), para projeto de controladores NARX -do inglês Nonlinear Autoregressive Exogenous Model -, por Bloemers et al (2019) para o projeto de controladores LPV no domínio da frequência e as apresentadas por Karimi et al (2009), Formentin e Savaresi (2011) e Formentin et al (2016) para projeto de controladores LPV no domínio do tempo.…”