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Article
Hierarchical Trajectory Generation for a Class of Nonlinear Systems
Departmental Papers (ESE)
  • Paulo Tabuada, University of Notre Dame
  • George J Pappas, University of Pennsylvania
Document Type
Conference Paper
Date of this Version
12-9-2003
Comments
Copyright 2003 IEEE. Reprinted from Proceedings of the 42nd IEEE Conference on Decision and Control 2003, Volume 6, pages 6090-6095.

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Abstract

Trajectory generation and motion planning for nonlinear control systems is an important and difficult problem. In this paper, we provide a constructive method for hierarchical trajectory generation and hierarchical motion planning. The approach is based on the recent notion of φ-related control systems. Given a control affine system satisfying certain assumptions, we project the trajectory planning problem onto a φ-related control system of smaller dimension. Trajectories designed for the smaller, abstracted system are guaranteed, by construction, to be feasible for the original system. Constructive procedures are provided for refining trajectories of the coarser system to the more detailed system.

Citation Information
Paulo Tabuada and George J Pappas. "Hierarchical Trajectory Generation for a Class of Nonlinear Systems" (2003)
Available at: http://works.bepress.com/george_pappas/257/