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arXiv · 2101.06718

On the Design of Structured Stabilizers for LTI Systems

Francesco Ferrante·Fabrizio Dabbene·Chiara Ravazzi
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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.

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Francesco Ferrante, Fabrizio Dabbene, Chiara Ravazzi. 2021-01-17. On the Design of Structured Stabilizers for LTI Systems. https://doi.org/10.1109/lcsys.2019.2925524

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