Energy-Based Feedback Control for Stochastic Dynamical Systems

Wassim M. Haddad; Tanmay Rajpurohit; Xu Jin

doi:10.23919/ACC.2018.8431578

Energy-Based Feedback Control for Stochastic Dynamical Systems

Wassim M. Haddad
, Tanmay Rajpurohit
, Xu Jin

Mechanical and Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we develop an energy-based static and dynamic control framework for stochastic port-controlled Hamiltonian systems. In particular, we obtain constructive sufficient conditions for stochastic feedback stabilization that provide a shaped energy function for the closed-loop system while preserving a Hamiltonian structure at the closed-loop level. In the dynamic control case, energy shaping is achieved by combining the physical energy of the plant and the emulated energy of the controller.

Original language	English
Title of host publication	2018 Annual American Control Conference, ACC 2018
Pages	5473-5478
Number of pages	6
DOIs	https://doi.org/10.23919/ACC.2018.8431578
State	Published - Aug 9 2018
Event	2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018

Publication series

Name	Proceedings of the American Control Conference
Volume	2018-June
ISSN (Print)	0743-1619

Conference

Conference	2018 Annual American Control Conference, ACC 2018
Country/Territory	United States
City	Milwauke
Period	6/27/18 → 6/29/18

Bibliographical note

Publisher Copyright:
© 2018 AACC.

Funding

This work was supported in part by the Air Force Office of Scientific Research under Grant FA9550-16-1-0100.

Funders	Funder number
Air Force Office of Scientific Research, United States Air Force	FA9550-16-1-0100

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.23919/ACC.2018.8431578

Cite this

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title = "Energy-Based Feedback Control for Stochastic Dynamical Systems",

abstract = "In this paper, we develop an energy-based static and dynamic control framework for stochastic port-controlled Hamiltonian systems. In particular, we obtain constructive sufficient conditions for stochastic feedback stabilization that provide a shaped energy function for the closed-loop system while preserving a Hamiltonian structure at the closed-loop level. In the dynamic control case, energy shaping is achieved by combining the physical energy of the plant and the emulated energy of the controller.",

author = "Haddad, \{Wassim M.\} and Tanmay Rajpurohit and Xu Jin",

note = "Publisher Copyright: {\textcopyright} 2018 AACC.; 2018 Annual American Control Conference, ACC 2018 ; Conference date: 27-06-2018 Through 29-06-2018",

year = "2018",

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doi = "10.23919/ACC.2018.8431578",

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Haddad, WM, Rajpurohit, T & Jin, X 2018, Energy-Based Feedback Control for Stochastic Dynamical Systems. in 2018 Annual American Control Conference, ACC 2018., 8431578, Proceedings of the American Control Conference, vol. 2018-June, pp. 5473-5478, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431578

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N2 - In this paper, we develop an energy-based static and dynamic control framework for stochastic port-controlled Hamiltonian systems. In particular, we obtain constructive sufficient conditions for stochastic feedback stabilization that provide a shaped energy function for the closed-loop system while preserving a Hamiltonian structure at the closed-loop level. In the dynamic control case, energy shaping is achieved by combining the physical energy of the plant and the emulated energy of the controller.

AB - In this paper, we develop an energy-based static and dynamic control framework for stochastic port-controlled Hamiltonian systems. In particular, we obtain constructive sufficient conditions for stochastic feedback stabilization that provide a shaped energy function for the closed-loop system while preserving a Hamiltonian structure at the closed-loop level. In the dynamic control case, energy shaping is achieved by combining the physical energy of the plant and the emulated energy of the controller.

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M3 - Conference contribution

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Energy-Based Feedback Control for Stochastic Dynamical Systems

Abstract

Publication series

Conference

Bibliographical note

Funding

ASJC Scopus subject areas

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