Data-Driven Predictive Control for Linear Parameter-Varying Systems

Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying Systems

“…These results allow the application of our data-driven analysis results for any given structure of an LPV system. Moreover, we show that our results boil down to the results in [12], when applying the given scheduling dependency in [12].…”

“…Secondly, we need to show that the concatenation (u ini , p ini , y ini ) ∧ (u r , p r , y r ) are indeed elements of the behaviour B| [1,Tini+Tr] . The final problem is to link the earlier obtained results from [12], which have a given dependency structure, with the solutions of the aforementioned subproblems.…”

“…Section III discusses the mathematical building blocks of the behavioural framework for LPV systems. The main results of the paper are discussed in Section IV, while the link between this paper and the result in [12] is considered in Section V. We give the conclusions and outlook in Section VI.…”

“…In [12] some preliminary results on data-driven analysis (and control) for LPV systems with a specific scheduling dependency structure are discussed, by extending the Fundamental Lemma with additional constraints. In this paper, we obtain results for LPV systems with a meromorphic scheduling dependency structure based on the behavioural theory for LPV systems [13], [14].…”

“…Fig.1. Simulation results from[12, Example 1]. The blue coloured data corresponds to the initial trajectory of length T ini in Lemma 2.…”