Extended applications of generating functions to optimal feedback control problems

Chandeok Park, Daniel J. Scheeres

Research output: Contribution to journalConference article

9 Citations (Scopus)

Abstract

As a natural extension of our recent work on finding optimal feedback control laws based on generating functions of a Hamiltonian system, we consider an optimal control problem with control constraints and a singular optimal control problem. For the problem with control constraints, we consider the time optimal control of the double integrator, and show that our approach can recover the necessary and sufficient conditions of optimal feedback control laws directly. For the singular optimal control problem, we study the linear quadratic problem and show that our method reproduces the conventional solution satisfying the necessary conditions for optimality. The current study is used to more fully understand our approach with the goal of defining a method that is applicable to more general systems.

Original languageEnglish
Article numberWeB10.1
Pages (from-to)852-857
Number of pages6
JournalProceedings of the American Control Conference
Volume2
Publication statusPublished - 2005 Sep 1
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: 2005 Jun 82005 Jun 10

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Feedback control
Hamiltonians

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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Extended applications of generating functions to optimal feedback control problems. / Park, Chandeok; Scheeres, Daniel J.

In: Proceedings of the American Control Conference, Vol. 2, WeB10.1, 01.09.2005, p. 852-857.

Research output: Contribution to journalConference article

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AU - Scheeres, Daniel J.

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AB - As a natural extension of our recent work on finding optimal feedback control laws based on generating functions of a Hamiltonian system, we consider an optimal control problem with control constraints and a singular optimal control problem. For the problem with control constraints, we consider the time optimal control of the double integrator, and show that our approach can recover the necessary and sufficient conditions of optimal feedback control laws directly. For the singular optimal control problem, we study the linear quadratic problem and show that our method reproduces the conventional solution satisfying the necessary conditions for optimality. The current study is used to more fully understand our approach with the goal of defining a method that is applicable to more general systems.

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