Transformation-Free Fixed-Structure Model Reduction for LPV Systems
<|reference_start|>Transformation-Free Fixed-Structure Model Reduction for LPV Systems: In this paper, we propose a model reduction technique for linear parameter varying (LPV) systems based on available tools for fixed-structure controller synthesis. We start by transforming a model reduction problem into an equivalent controller synthesis problem by defining an appropriate generalized plant. The controller synthesis problem is then solved by using gradient-based tools available in the literature. Owing to the flexibility of the gradient-based synthesis tools, we are able to impose a desired structure on the obtained reduced model. Additionally, we obtain a bound on the approximation error as a direct output of the optimization problem. The proposed methods are applied on a benchmark mechanical system of interconnected masses, springs and dampers. To evaluate the effect of the proposed model-reduction approach on controller design, LPV controllers designed using the reduced models (with and without an imposed structure) are compared in closed-loop with the original model.<|reference_end|>
@article{heeren2024transformation-free,
    title={Transformation-Free Fixed-Structure Model Reduction for LPV Systems},
    author={Lennart Heeren, Adwait Datar, Antonio Mendez Gonzalez and Herbert
  Werner},
    journal={arXiv preprint arXiv:2403.14310},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.14310},
    primaryClass={eess.SY cs.SY}
}