학술논문

Distributed Control of Descriptor Networks: A Convex Procedure for Augmented Sparsity
Document Type
Periodical
Source
IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. PP(99):1-8
Subject
Signal Processing and Analysis
Decentralized control
Eigenvalues and eigenfunctions
Transfer functions
Finite impulse response filters
Convergence
Computers
Computer architecture
Distributed processes
descriptor systems
+%24%5Cmathcal+{H}%5F%5Cinfty%24<%2Ftex-math>+<%2Finline-formula>+control%22">sparse $\mathcal {H}_\infty$ control
convex optimization
Language
ISSN
0018-9286
1558-2523
2334-3303
Abstract
For networks of systems, with possibly improper transfer function matrices, we present a design framework which enables $\mathcal {H}_\infty$ control, while imposing sparsity constraints on the controller's coprime factors. We propose a convex and iterative optimization procedure with guaranteed convergence to obtain distributed controllers. By exploiting the robustness-oriented nature of our proposed approach, we provide the means to obtain sparse representations of our control laws that may not be directly supported by the network's nominal model.