Resilient Sparse Controller Design with Guaranteed Disturbance Attenuation [article]

MirSaleh Bahavarnia, Hossein K. Mousavi
2019 arXiv   pre-print
We design resilient sparse state-feedback controllers for a linear time-invariant (LTI) control system while attaining a pre-specified guarantee on H_∞ performance measure. We leverage a technique from non-fragile control theory to identify a region of resilient state-feedback controllers. Afterward, we explore the region to identify a sparse controller. To this end, we use two different techniques: the greedy method of sparsification, as well as the re-weighted ℓ_1 norm minimization. Our
more » ... ch highlights a tradeoff between the sparsity of the feedback gain, performance measure, and fragility of the design. To best of our knowledge, this work is the first framework providing performance guarantees for sparse feedback gain design.
arXiv:1810.05284v2 fatcat:l4cwmtogjjdcvpx75xdhwzodcy