Abstract

The motion state of a quadruped robot in operation changes constantly. Due to the drift caused by the accumulative error, the function of the inertial measurement unit (IMU) will be limited. Even though multi-sensor fusion technology is adopted, the quadruped robot will lose its ability to respond to state changes after a while because the gain tends to be constant. To solve this problem, this paper proposes a strong tracking mixed-degree cubature Kalman filter (STMCKF) method. According to system characteristics of the quadruped robot, this method makes fusion estimation of forward kinematics and IMU track. The combination mode of traditional strong tracking cubature Kalman filter (TSTCKF) and strong tracking is improved through demonstration. A new method for calculating fading factor matrix is proposed, which reduces sampling times from three to one, saving significantly calculation time. At the same time, the state estimation accuracy is improved from the third-degree accuracy of Taylor series expansion to fifth-degree accuracy. The proposed algorithm can automatically switch the working mode according to real-time supervision of the motion state and greatly improve the state estimation performance of quadruped robot system, exhibiting strong robustness and excellent real-time performance. Finally, a comparative study of STMCKF and the extended Kalman filter (EKF) that is commonly used in quadruped robot system is carried out. Results show that the method of STMCKF has high estimation accuracy and reliable ability to cope with sudden changes, without significantly increasing the calculation time, indicating the correctness of the algorithm and its great application value in quadruped robot system.

Highlights

  • A legged robot has broad application prospects owing to its strong ability to pass through complex ground without continuous support

  • Results show that the method of strong tracking mixed-degree cubature Kalman filter (STMCKF) has high estimation accuracy and reliable ability to cope with sudden changes, without significantly increasing the calculation time, indicating the correctness of the algorithm and its great application value in quadruped robot system

  • To further increase the accuracy of state estimation for a quadruped robot system, a strong tracking mixed-degree cubature Kalman filter algorithm is proposed in this paper

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Summary

Introduction

A legged robot has broad application prospects owing to its strong ability to pass through complex ground without continuous support. It can be seen that these previous methods combined with strong tracking are basically based on SFEKF combination, and EKF does not need sampling point calculation, but UKF and CKF and some improved algorithms require sampling point calculation, which makes sampling times increase from two to three for each filtering process, which significantly increases the calculation amount and thereby hider the application of quadruped robots. By demonstrating correct combination of strong tracking and CKF-type algorithms, the calculation method of fading factor matrix is improved, and sampling times per filter of TSTCKF is reduced from three to one. Since no additional external sensors are added, external environmental interference is avoided In this way, the quadruped robot system using this algorithm can significantly improve state estimation accuracy, real-time performance and robustness without increasing research and development costs. Since the main research object of this paper is the quadruped robot, the simulation and experiment are carried out for the quadruped robot, and other systems will not be discussed

Initialization
Predication
State Mutation Test
Recalculation
Update
Forward Kinematics of Quadruped Robot
Three-dimensional
Thematrix navigation coordinate and the body coordinate system
Knee joint x2
Equation of State for Quadruped Robot
Pseudo-Observation Equation of Quadruped Robot
Multi-Sensor
Experiments
Velocity Estimation Experiment of Quadruped Robot
Conclusions

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