A hierarchical QP optimization control strategy for quadruped robots facing a variety of structural terrains

Addressing the dynamic stability issue of quadruped robots with a relatively high leg-to-body mass ratio on various structured terrains, this paper proposes a hybrid control strategy. Initially, the gait scheduling framework is constructed using Hopf oscillators within the Central Pattern Generator (CPG) to emulate the bio-inspired characteristics of quadruped robot locomotion. Subsequently, terrain estimation and gait planning are employed to enable the robot to traverse diverse structured terrains. During the stance phase of quadruped robot locomotion, a hierarchical Quadratic Programming (QP) optimization control is implemented. In the swing phase, a force-based impedance control is adopted to enhance the compliance and smoothness of the robot’s leg-lifting motion. Furthermore, by leveraging Lyapunov stability theory, the stability of the control system in the swing phase is rigorously analysed and proven, thereby ensuring the effectiveness and reliability of the control strategy from a theoretical standpoint. For posture control, dynamic stability is achieved by adjusting the linear and angular accelerations of the robot’s centre of mass. The proposed control strategy was validated through the MATLAB/Simulink simulation platform. The results demonstrate that, compared with the standard QP optimization control, the proposed strategy can more accurately and stably control the quadruped robot’s locomotion on flat ground. Moreover, the strategy enables the robot to achieve stable walking on various structured terrains.

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Publication Details

Journal
Transactions of the Institute of Measurement and Control
Published
2025-12-27
DOI
https://doi.org/10.1177/01423312251405938
Primary Topic
Robotic Locomotion and Control
Type
article
Field-Weighted Citation Impact
0.00
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article

A hierarchical QP optimization control strategy for quadruped robots facing a variety of structural terrains

Chikun Gong, Lipeng Yuan, Na Zhang, Xiaolong Jin
Transactions of the Institute of Measurement and Control
Robotic Locomotion and Control
article

A hierarchical QP optimization control strategy for quadruped robots facing a variety of structural terrains

Chikun Gong, Lipeng Yuan, Na Zhang, Xiaolong Jin
article en

Abstract

Addressing the dynamic stability issue of quadruped robots with a relatively high leg-to-body mass ratio on various structured terrains, this paper proposes a hybrid control strategy. Initially, the gait scheduling framework is constructed using Hopf oscillators within the Central Pattern Generator (CPG) to emulate the bio-inspired characteristics of quadruped robot locomotion. Subsequently, terrain estimation and gait planning are employed to enable the robot to traverse diverse structured terrains. During the stance phase of quadruped robot locomotion, a hierarchical Quadratic Programming (QP) optimization control is implemented. In the swing phase, a force-based impedance control is adopted to enhance the compliance and smoothness of the robot’s leg-lifting motion. Furthermore, by leveraging Lyapunov stability theory, the stability of the control system in the swing phase is rigorously analysed and proven, thereby ensuring the effectiveness and reliability of the control strategy from a theoretical standpoint. For posture control, dynamic stability is achieved by adjusting the linear and angular accelerations of the robot’s centre of mass. The proposed control strategy was validated through the MATLAB/Simulink simulation platform. The results demonstrate that, compared with the standard QP optimization control, the proposed strategy can more accurately and stably control the quadruped robot’s locomotion on flat ground. Moreover, the strategy enables the robot to achieve stable walking on various structured terrains.

Transactions of the Institute of Measurement and Control
University of Shanghai for Science and Technology (CN), Hohai University (CN), Harbin Institute of Technology (CN), Henan Province Quality and Technical Supervision Bureau (CN)
Openalex Percentile: Top 42%
Robotic Locomotion and Control
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