Trial mountain climbing algorithm for solving the inverse kinematics of redundant manipulator

Abstract

Trial mountain climbing algorithm to solve the inverse kinematics problem of redundant manipulator is introduced, and a method of describing a numeral with a special numeration system is given to define the changed step of the trial mountain climbing algorithm. The results show that a likelihood solution can be found quickly in the infinite groups of likelihood solutions within the limited search times, and need not calculate the anti-trigonometric function and the inverse matrix. In addition, this algorithm has many good qualities such as concise algorithm, tiny computation, fast convergence velocity, good stability and extensive adaptability.

Keywords

manipulator / tunnel-drilling robot / kinematics equation / trial mountain climbing algorithm

References

[1] RaghavanM., RothB.. Inverse Kinematics of the General 6R Manipulator and Related Linkages. Journal of Mechanical Design, 1993, 115(3): 502-508

[2] ManseurR, DotyK L. Structural kinematics of 6-revolute-axis robot manipulators [J]. Mechanism and Machine Theory, 1996, 31(5): 647-657

[3] ManseurR, DotyK L. A complete kinematics analysis of four-revolute-axis robot manipulators [J]. Mechanism and Machine Theory, 1992, 27(5): 575-586

[4] PaulR P, ShimanoB E, MayerS. Kinematic control equation for simple manipulators [J]. IEEE Trans SMC, 1981, 11(6): 449-455

[5] LiegeoisA. Automatic supervisory control of the configuration and behavior of multibody mechanisms[J]. IEEE Trans Systems Man Cybernetics, 1997, 27(12): 868-871

[6] ChanT F, DubeyR V A. Weighted least norm solution base scheme for avoiding joint limits for redundant manipulators [A]. Proc of IEEE Inter Conf On R & A [C], 1993, Missouri, IEEE Computer Society Press: 395-402

[7] HollerbachJ M, SuhK CHsiaT C, TarnT J. Redundancy resolution of Manipulators through or queoptimization[A]. Proc of IEEE Inter Conf On R & A [C], 1985, California, IEEE Computer Society Press: 308-316

[8] ZhaoJing, BaiShi-xian. The combined method with suboptimal criteria to inverse kinematic problems for redundant manipulators[J]. Mechanical Science and Technology, 1996, 11(15): 939-942(in Chinese)

[9] HeQin-hua, ZhouHon-bing, WuFan. The kinematics equation of the boom of rock-drilling robot [J]. Journal of Central South University of Technology, 1998, 29(5): 483-486(in Chinese)