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Article overview
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Distributed Synthesis Using Accelerated ADMM | Mohamadreza Ahmadi
; Murat Cubuktepe
; Ufuk Topcu
; Takashi Tanaka
; | Date: |
28 Feb 2018 | Abstract: | We propose a convex distributed optimization algorithm for synthesizing
robust controllers for large-scale continuous time systems subject to exogenous
disturbances. Given a large scale system, instead of solving the larger
centralized synthesis task, we decompose the problem into a set of smaller
synthesis problems for the local subsystems with a given interconnection
topology. Hence, the synthesis problem is constrained to the sparsity pattern
dictated by the interconnection topology. To this end, for each subsystem, we
solve a local dissipation inequality and then check a small-gain like condition
for the overall system. To minimize the effect of disturbances, we consider the
$mathrm{H}_infty$ synthesis problems. We instantiate the distributed
synthesis method using accelerated alternating direction method of multipliers
(ADMM) with convergence rate $O(frac{1}{k^2})$ with $k$ being the number of
iterations. | Source: | arXiv, 1803.0077 | Services: | Forum | Review | PDF | Favorites |
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