Distributed Synthesis Using Accelerated ADMM

2018/02/28 by Mohamadreza Ahmadi, Murat Cubuktepe, Ahmadi, Mohamadreza +5
Computer Science · Engineering · #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Optimization and Variational Analysis #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1803.00077

openalex publication_date 2018/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 H_∞ synthesis problems. We instantiate the distributed synthesis method using accelerated alternating direction method of multipliers (ADMM) with convergence rate O((1)/(k²)) with k being the number of iterations.

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