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Open AccessJournal ArticleDOI

Accelerated gradient methods and dual decomposition in distributed model predictive control

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TLDR
The evaluation shows that the proposed distributed optimization algorithm for mixed L"1/L"2-norm optimization based on accelerated gradient methods using dual decomposition can outperform current state-of-the-art optimization software CPLEX and MOSEK.
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This article is published in Automatica.The article was published on 2013-03-01 and is currently open access. It has received 265 citations till now. The article focuses on the topics: Optimization problem & Duality (optimization).

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Proceedings ArticleDOI

Structural Data Compression for Embedded Long Prediction Horizon Model Predictive Control on Resource-Constrained FPGA Platforms

TL;DR: Structural data compression (SDC), a technique that drastically lowers the memory demand of embedded MPC on FPGAs, is proposed and shown how SDC can reduce the memory requirements by a factor higher than 80x compared to common code-generated MPC designs, thereby enabling MPC systems that require long prediction horizons to be implemented on an embedded device.
Posted Content

An Accelerated Proximal Gradient-based Robust Model Predictive Control Algorithm.

TL;DR: In this article, an accelerated robust model predictive control (RMPC) algorithm for linear systems with additive disturbance is proposed based on the tube technique and the proximal gradient method, which can accelerate the iteration convergence rate.
Proceedings ArticleDOI

Dynamic Reduction of The Iterations Requirement in A Distributed Model Predictive Control

TL;DR: This paper proposes to reduce the number of iterations required in the implementation of distributed Model Predictive Control based on dual decomposition by continually fixing the value of Lagrange multipliers, and a local optimization problems dynamic sizing algorithm (LOPDSA) is proposed by continually reducing the size of local optimization problem during the iteration through an original prediction horizon reduction.
References
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Book

Convex Optimization

TL;DR: In this article, the focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them, and a comprehensive introduction to the subject is given. But the focus of this book is not on the optimization problem itself, but on the problem of finding the appropriate technique to solve it.
Book

Nonlinear Programming

Journal ArticleDOI

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

TL;DR: A new fast iterative shrinkage-thresholding algorithm (FISTA) which preserves the computational simplicity of ISTA but with a global rate of convergence which is proven to be significantly better, both theoretically and practically.
Book

Introductory Lectures on Convex Optimization: A Basic Course

TL;DR: A polynomial-time interior-point method for linear optimization was proposed in this paper, where the complexity bound was not only in its complexity, but also in the theoretical pre- diction of its high efficiency was supported by excellent computational results.
Journal ArticleDOI

Smooth minimization of non-smooth functions

TL;DR: A new approach for constructing efficient schemes for non-smooth convex optimization is proposed, based on a special smoothing technique, which can be applied to functions with explicit max-structure, and can be considered as an alternative to black-box minimization.
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