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Published June 2013 | public
Book Section - Chapter

Second-order switching time and magnitude optimization for impulsive hybrid systems

Abstract

This paper presents a method to perform second-order impulsive hybrid system optimization that optimizes a cost functional over mode transition times and impulse magnitudes simultaneously. The derivation of the first-order and second-order derivatives of the cost functional with respect to switching times and impulse magnitudes is presented. An adjoint formulation is utilized to compute the derivatives for a faster convergence at a lower computational cost. An example in robotics illustrates the effectiveness of this optimization technique when measurement noise is present.

Additional Information

© 2013 AACC. This material is based upon work supported by the National Science Foundation under award IIS-1018167. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

Additional details

Created:
August 19, 2023
Modified:
October 25, 2023