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HPIPM: a high-performance quadratic programming framework for model predictive control

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arxiv 2003.02547 v2 pith:M73VURRK submitted 2020-03-05 math.OC cs.SYeess.SY

classification math.OCcs.SYeess.SY
keywords hpipmcontrolframeworkhigh-performancemodelpredictiveprogrammingquadratic
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This paper introduces HPIPM, a high-performance framework for quadratic programming (QP), designed to provide building blocks to efficiently and reliably solve model predictive control problems. HPIPM currently supports three QP types, and provides interior point method (IPM) solvers as well (partial) condensing routines. In particular, the IPM for optimal control QPs is intended to supersede the HPMPC solver, and it largely improves robustness while keeping the focus on speed. Numerical experiments show that HPIPM reliably solves challenging QPs, and that it outperforms other state-of-the-art solvers in speed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. HumanHalo -- Safe and Efficient 3D Navigation Among Humans via Minimally Conservative MPC

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    The paper contributes a linear MPC safety constraint that, for the first control input alone, prevents the drone's future reachable set from ever being fully inside a human's reachable set, avoiding inevitable collisions.

  2. Locomotion on Constrained Footholds via Layered Architectures and Model Predictive Control

    cs.RO 2025-06 conditional novelty 6.0 of 10

    A layered controller that samples footholds and runs parallel fixed-mode MPC evaluates terrain options in real time, enabling a quadruped and a simulated humanoid to traverse stepping stones.

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