Sparse Approximate Hamilton-Jacobi Solutions for Optimal Feedback Control with Terminal Constraints

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A semi-analytic method is proposed to solve a class of optimal control problems while exploiting its underlying Hamiltonian structure. Optimal control problems with a fixed final state at a fixed terminal time are considered. The solution methodology proposed in this work solves the Hamilton-Jacobi equation over a predefined domain of states and co-states. The advantage over traditional methods is that an approximate generating function (analogous to the value function of HJB theory) is obtained as a function of time, which allows for the computation of co-states for any final time and final state specified. Numerical experiments are conducted to demonstrate the efficacy of developed method while considering benchmark problems including spin stabilization.

Original languageEnglish (US)
Title of host publication2023 62nd IEEE Conference on Decision and Control, CDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1269-1274
Number of pages6
ISBN (Electronic)9798350301243
DOIs
StatePublished - 2023
Event62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore
Duration: Dec 13 2023Dec 15 2023

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference62nd IEEE Conference on Decision and Control, CDC 2023
Country/TerritorySingapore
CitySingapore
Period12/13/2312/15/23

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this