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Main Authors: Li, Yuchao, Karapetyan, Aren, Schmid, Niklas, Lygeros, John, Johansson, Karl H., Mårtensson, Jonas
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.14560
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author Li, Yuchao
Karapetyan, Aren
Schmid, Niklas
Lygeros, John
Johansson, Karl H.
Mårtensson, Jonas
author_facet Li, Yuchao
Karapetyan, Aren
Schmid, Niklas
Lygeros, John
Johansson, Karl H.
Mårtensson, Jonas
contents In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an approximate solution. Our method computes multiple lookahead minimization problems at each time, where each minimization may involve a different number of lookahead steps, and terminal cost and constraint. The policy computed via parallel MPC applies the first control of the lookahead minimization with the lowest cost. We show that the proposed method can harnesses the power of multiple computing units. Moreover, we prove that the policy computed via parallel MPC has better performance guarantee than that computed via the single lookahead minimization involved in parallel MPC.
format Preprint
id arxiv_https___arxiv_org_abs_2309_14560
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Parallel Model Predictive Control for Deterministic Systems
Li, Yuchao
Karapetyan, Aren
Schmid, Niklas
Lygeros, John
Johansson, Karl H.
Mårtensson, Jonas
Optimization and Control
In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an approximate solution. Our method computes multiple lookahead minimization problems at each time, where each minimization may involve a different number of lookahead steps, and terminal cost and constraint. The policy computed via parallel MPC applies the first control of the lookahead minimization with the lowest cost. We show that the proposed method can harnesses the power of multiple computing units. Moreover, we prove that the policy computed via parallel MPC has better performance guarantee than that computed via the single lookahead minimization involved in parallel MPC.
title Parallel Model Predictive Control for Deterministic Systems
topic Optimization and Control
url https://arxiv.org/abs/2309.14560