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双轮腿机器人的子空间辨识及非线性积分滑模控制

刘惠民1,2,章政1*,梁若雨2,颜如钰2   

  1. 1.武汉科技大学 机器人与智能系统研究院;2.武汉科技大学 人工智能与自动化学院
  • 收稿日期:2025-04-21 修回日期:2025-08-14
  • 基金资助:
    国家自然科学基金项目(62303359)

Subspace Identification and Nonlinear Integral Sliding Mode Control for Two Wheeled-legged Robot

LIU Huimin1,2, ZHANGZheng1*, LIANG Ruoyu2, YAN Ruyu 2   

  1. 1. Institute of Robotics and Intelligent Systems,Wuhan University of Science and Technology; Wuhan University of Science and Technology, College of Artificial Intelligence and Automation,
  • Received:2025-04-21 Revised:2025-08-14

摘要: 双轮腿机器人通过足式和轮式两种模态之间切换以适应不同的地形和环境‌,频繁的运动方式切换使得关节摩擦力对系统产生不可避免的非线性和不确定性影响。为了解决建模过程中忽略或简化关节摩擦力所产生模型误差的问题,提出一种基于子空间辨识的双轮腿机器人非线性积分滑模控制策略。根据库伦-黏性摩擦理论分析关节摩擦力对机器人运动性能的影响;基于子空间辨识算法建立考虑关节摩擦力的双轮腿机器人状态空间模型,并针对关节摩擦力产生有色噪声的干扰问题,采用稀疏投影方法消除噪声项对子空间辨识算法的有偏性;设计改进积分滑模控制律实现双轮腿机器人的姿态控制,并采用Lyapunov理论证明控制系统的稳定性。仿真实验结果表明,与忽略关节摩擦力的双轮腿机器人控制系统相比,模型误差分别降低28.94%、41.97%、35.43、40.61%;俯仰角和偏航角的超调量分别减少24.26%和21.1%,系统具有良好的稳定性、抗扰性和鲁棒性。

关键词: 双轮腿机器人;子空间辨识, 关节摩擦力;积分滑模控制

Abstract: The two-wheeled robot switches between foot and wheel modes to adapt to different terrains and environments, and the frequent switching of motion modes makes the joint friction have an inevitable nonlinear and uncertain effect on the system. To address the problem of model errors caused by neglecting or simplifying joint friction during the modeling process, this paper proposes a nonlinear integral sliding mode control strategy for a two wheeled legged robot based on subspace identification. Firstly, the influence of joint friction on the motion performance of the robot was analyzed based on the Coulomb-Stribeck friction theory. Then, a state space model for a two-wheeled legged robot considering joint friction was established using a subspace identification algorithm. To address the interference issue of colored noise generated by joint friction, a sparse projection method was employed to eliminate the bias of the noise term on the subspace identification algorithm. Subsequently, an improved integral sliding mode control law was designed to achieve attitude control of the two-wheeled legged robot, and the stability of the control system was proved using Lyapunov theory. Finally, the simulation experiment results show that compared with the control system of the two wheeled legged robot that ignores joint friction, the model errors are respectively reduced by 28.94%, 41.97%, 35.43%, and 40.61%. The overshoot of pitch angle and yaw angle has been respectively reduced by 24.26% and 21.1%, and the system has good stability, disturbance rejection, and robustness.

Key words: Two-Wheeled-legged robot, Subspace identification, Joint friction force, Integral sliding mode control

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