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27 April 2024
 
  » arxiv » 1803.0077

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Distributed Synthesis Using Accelerated ADMM
Mohamadreza Ahmadi ; Murat Cubuktepe ; Ufuk Topcu ; Takashi Tanaka ;
Date 28 Feb 2018
AbstractWe 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
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