Kinematics of Tree-Type Robotic Systems

  • Suril Vijaykumar Shah
  • Subir Kumar Saha
  • Jayanta Kumar Dutt
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 62)


Kinematic modeling of a tree-type robotic system is presented in this chapter. In order to obtain kinematic constraints, a tree-type topology is first divided into a set of modules. The kinematic constraints are then obtained between these modules by introducing the concepts of module-twist, module-joint-rate, etc. This helps in obtaining the generic form of the Decoupled Natural Orthogonal Complement (DeNOC) matrices for a tree-type system with the help of module-to-module velocity transformations. Using the present derivation, link-to-link velocity transformation (Saha 1999a, b) turns out to be a special case of the module-to-module velocity transformation (Shah et al. 2012a) presented in this chapter.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Suril Vijaykumar Shah
    • 1
  • Subir Kumar Saha
    • 2
  • Jayanta Kumar Dutt
    • 2
  1. 1.McGill UniversityMontrealCanada
  2. 2.Department of Mechanical EngineeringIIT DelhiNew DelhiIndia

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