Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping

نویسندگان

  • Anthony M. Bloch
  • Dong Eui Chang
  • Naomi Ehrich Leonard
  • Jerrold E. Marsden
چکیده

We extend the method of controlled Lagrangians (CL) to include potential shaping, which achieves complete state-space asymptotic stabilization of mechanical systems. The CL method deals with mechanical systems with symmetry and provides symmetry-preserving kinetic shaping and feedback-controlled dissipation for state-space stabilization in all but the symmetry variables. Potential shaping complements the kinetic shaping by breaking symmetry and stabilizing the remaining state variables. The approach also extends the method of controlled Lagrangians to include a class of mechanical systems without symmetry such as the inverted pendulum on a cart that travels along an incline.

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عنوان ژورنال:
  • IEEE Trans. Automat. Contr.

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2001