On the Design of Structured Stabilizers for LTI Systems
Abstract
Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback design. Leveraging on the Projection Lemma, this work presents a new solution to a class of state-feedback control problems, in which the controller is constrained to belong to a given linear space. We show through extensive discussion and numerical examples that our approach leads to several advantages with respect to existing methods: first, it is computationally efficient; second, it is less conservative than previous methods, since it relaxes the requirement of restricting the Lyapunov matrix to a block-diagonal form.
Keywords
Cite
@article{arxiv.2101.06718,
title = {On the Design of Structured Stabilizers for LTI Systems},
author = {Francesco Ferrante and Fabrizio Dabbene and Chiara Ravazzi},
journal= {arXiv preprint arXiv:2101.06718},
year = {2021}
}
Comments
V1 fixes a few minor typos in the published version. V2 includes a clarification and fixes some minor typos in the proof of Theorem 2