Sparse Actuation for LPV Systems with Full-State Feedback in $\mathcalH_2/\mathcalH_\infty$ Framework
<|reference_start|>Sparse Actuation for LPV Systems with Full-State Feedback in $\mathcalH_2/\mathcalH_\infty$ Framework: This paper addresses the sparse actuation problem for nonlinear systems represented in the Linear Parameter-Varying (LPV) form. We propose a convex optimization framework that concurrently determines actuator magnitude limits and the state-feedback law that guarantees a user-specified closed-loop performance in the $\mathcal{H}_2/\mathcal{H}_\infty$ sense. We also demonstrate that sparse actuation is achieved when the actuator magnitude-limits are minimized in the $l_1$ sense. This is the first paper that addresses this problem for LPV systems. The formulation is demonstrated in a vibration control problem for a flexible wing.<|reference_end|>
@article{kumar2024sparse,
    title={Sparse Actuation for LPV Systems with Full-State Feedback in
  $\mathcal{H}_2/\mathcal{H}_\infty$ Framework},
    author={Tanay Kumar, Raktim Bhattacharya},
    journal={arXiv preprint arXiv:2410.01118},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.01118},
    primaryClass={eess.SY cs.SY math.OC}
}