ALADIN-$α$ -- An open-source MATLAB toolbox for distributed non-convex optimization

Abstract

This paper introduces an open-source software for distributed and decentralized non-convex optimization named ALADIN-α. ALADIN-α is a MAT-LAB implementation of the Augmented Lagrangian Alternating Direction Inexact Newton (ALADIN) algorithm, which is tailored towards rapid prototyping for non-convex distributed optimization. An improved version of the recently proposed bi-level variant of ALADIN is included enabling decentralized non-convex optimization. A collection of application examples from different applications fields including chemical engineering, robotics, and power systems underpins the application potential of ALADIN-α.

Distributed Power Flow and Distributed Optimization -- Formulation, Solution, and Open Source Implementation

“…Other approaches, such as "cutting" connecting tie lines and enforcing equality of the electrical state at the intersection [20], are in general not physically consistent (only in the absence of line capacitance). Hence, even if the true solution to the distributed problem is found, this solution is not numerically identical to the solution of the centralized power flow problem.…”

“…Whereas rapidpf is matlab code tailored to simplify and streamline the problem formulation, the open source matlab code aladin-α is used to tackle the problem solution [20]. aladin-α provides tested implementations and several variants of both admm and aladin.…”

“…Ad c4: The recently published matlab toolbox aladin-α provides several implementations of both admm and aladin [20]. Its user interface allows the user to provide merely the cost functions, the equality constraints, and the inequality constraints.…”

A Modular Framework for Distributed Model Predictive Control of Nonlinear Continuous-Time Systems (GRAMPC-D)

“…Several algorithms are implemented in the Python-Toolbox DISROPT [16] regarding distributed optimization problems. ALADIN-α [17] is the most recent published toolbox that provides a Matlab implementation of the ALADIN algorithm. However, there is a lack of a DMPC framework that provides an implementation tailored to embedded hardware with the focus on real-time capable distributed model predictive control.…”