On inverse kinematics of stationary and mobile manipulators
Krzysztof Tchoń
Abstract
Krzysztof Tchoń
Abstract
We present a collection of regular inverse kinematics algorithms for mobile manipulators designed within the control system approach. Special attention is paid to the following algorithms: Jacobian pseudoinverse, Jacobian adjoint, extended Jacobian pseudoinverse, and constrained optimization inverse kinematics algorithms. It is demonstrated that all these algorithms are strict equivalents of corresponding inverse kinematics algorithms for stationary manipulators.
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We present a collection of regular inverse kinematics algorithms for mobile manipulators designed within the control system approach. Special attention is paid to the following algorithms: Jacobian pseudoinverse, Jacobian adjoint, extended Jacobian pseudoinverse, and constrained optimization inverse kinematics algorithms. It is demonstrated that all these algorithms are strict equivalents of corresponding inverse kinematics algorithms for stationary manipulators.
Key concepts: Moore–Penrose pseudoinverse, Inverse kinematics, Jacobian matrix and determinant, Kinematics, Inverse, Control theory (sociology), Robot kinematics, Computer science