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arxiv: 2207.10465 · v1 · pith:GZW2O3C6new · submitted 2022-07-21 · 💻 cs.RO

Nonlinear Model Predictive Control for Quadrupedal Locomotion Using Second-Order Sensitivity Analysis

classification 💻 cs.RO
keywords controllocomotionanalysisformulationmodelnonlinearpredictivequadrupedal
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We present a versatile nonlinear model predictive control (NMPC) formulation for quadrupedal locomotion. Our formulation jointly optimizes a base trajectory and a set of footholds over a finite time horizon based on simplified dynamics models. We leverage second-order sensitivity analysis and a sparse Gauss-Newton (SGN) method to solve the resulting optimal control problems. We further describe our ongoing effort to verify our approach through simulation and hardware experiments. Finally, we extend our locomotion framework to deal with challenging tasks that comprise gap crossing, movement on stepping stones, and multi-robot control.

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Cited by 2 Pith papers

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

  1. Multi-Rate Nonlinear Model Predictive Control for Wall-Supported Bipedal Locomotion of Quadrupedal Robots

    cs.RO 2026-07 unverdicted novelty 6.0

    A two-layer system uses multi-rate NMPC to jointly plan contact points and body trajectories for wall-supported bipedal walking in quadrupeds, showing 2.9 times higher simulation success than heuristic MPC on rough terrain.

  2. Iteratively Learning Muscle Memory for Legged Robots to Master Adaptive and High Precision Locomotion

    cs.RO 2025-07 unverdicted novelty 6.0

    Integrates iterative learning control with a torque library to enable high-precision adaptive locomotion on bipedal and quadrupedal robots, reducing tracking errors by up to 85% and achieving over 30x faster control rates.