On Separable Quadratic Lyapunov Functions for Convex Design of Distributed Controllers

Maryam Kamgarpour, Luca Furieri
2019
Conference paper

Abstract

We consider the problem of designing a stabilizing and optimal static controller with a pre-specified sparsity pattern. Since this problem is NP-hard in general, it is necessary to resort to approximation approaches. In this paper, we characterize a class of convex restrictions of this problem that are based on designing a separable quadratic Lyapunov function for the closed-loop system. This approach generalizes previous results based on optimizing over diagonal Lyapunov functions, thus allowing for improved feasibility and performance. Moreover, we suggest a simple procedure to compute favourable structures for the Lyapunov function yielding high-performance distributed controllers. Numerical examples validate our results.

Official source

https://infoscience.epfl.ch/record/290286?ln=en

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Ontological neighbourhood

Information engineering

Control theory and engineering: Control system

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