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Input and state constrained inverse optimal control with application to power networks

Jouini, Taouba Kaouther LU ; Sun, Zhiyong LU ; Renganathan, Venkatraman LU and Hagenmeyer, Veit (2023) 22nd IFAC World Congress p.5451-5456
Abstract

We study input and state constrained inverse optimal control problems starting from a stabilizing controller with a control Lyapunov function, where the goal is to make the controller an explicit solution of the resulting constrained optimal control problem. For an appropriate cost design and initial states for which a sublevel set of the Lyapunov function is contained in the state constraint set and the initial input lies on an ellipsoid inside the input constraint set, we show that the stabilizing controller solves the constrained optimal control problem. Compared to the state-of-the-art, we avoid solving nonlinear optimization problems evaluated pointwise, i.e., for every state, or in a repetitive fashion, i.e., at each time step. We... (More)

We study input and state constrained inverse optimal control problems starting from a stabilizing controller with a control Lyapunov function, where the goal is to make the controller an explicit solution of the resulting constrained optimal control problem. For an appropriate cost design and initial states for which a sublevel set of the Lyapunov function is contained in the state constraint set and the initial input lies on an ellipsoid inside the input constraint set, we show that the stabilizing controller solves the constrained optimal control problem. Compared to the state-of-the-art, we avoid solving nonlinear optimization problems evaluated pointwise, i.e., for every state, or in a repetitive fashion, i.e., at each time step. We apply our theoretical results to study the angular droop control studied in (Jouini et al., 2022) of an inverter-based power network. For this, we accommodate the constraints on the angle and power generation and exemplify our approach through a two-inverter case study.

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Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Energy Systems, Networked Systems, Non-Linear Control Systems, Optimal Control, Power
host publication
IFAC-PapersOnLine
editor
Ishii, Hideaki ; Ebihara, Yoshio ; Imura, Jun-ichi and Yamakita, Masaki
edition
2
pages
6 pages
publisher
Elsevier Science Publishers B.V.
conference name
22nd IFAC World Congress
conference location
Yokohama, Japan
conference dates
2023-07-09 - 2023-07-14
external identifiers
  • scopus:85183636879
ISBN
9781713872344
DOI
10.1016/j.ifacol.2023.10.196
language
English
LU publication?
yes
id
b4babb13-f4bf-4a15-819a-3b2ad52bccbe
date added to LUP
2024-02-13 15:34:33
date last changed
2024-02-13 15:56:03
@inproceedings{b4babb13-f4bf-4a15-819a-3b2ad52bccbe,
  abstract     = {{<p>We study input and state constrained inverse optimal control problems starting from a stabilizing controller with a control Lyapunov function, where the goal is to make the controller an explicit solution of the resulting constrained optimal control problem. For an appropriate cost design and initial states for which a sublevel set of the Lyapunov function is contained in the state constraint set and the initial input lies on an ellipsoid inside the input constraint set, we show that the stabilizing controller solves the constrained optimal control problem. Compared to the state-of-the-art, we avoid solving nonlinear optimization problems evaluated pointwise, i.e., for every state, or in a repetitive fashion, i.e., at each time step. We apply our theoretical results to study the angular droop control studied in (Jouini et al., 2022) of an inverter-based power network. For this, we accommodate the constraints on the angle and power generation and exemplify our approach through a two-inverter case study.</p>}},
  author       = {{Jouini, Taouba Kaouther and Sun, Zhiyong and Renganathan, Venkatraman and Hagenmeyer, Veit}},
  booktitle    = {{IFAC-PapersOnLine}},
  editor       = {{Ishii, Hideaki and Ebihara, Yoshio and Imura, Jun-ichi and Yamakita, Masaki}},
  isbn         = {{9781713872344}},
  keywords     = {{Energy Systems; Networked Systems; Non-Linear Control Systems; Optimal Control; Power}},
  language     = {{eng}},
  pages        = {{5451--5456}},
  publisher    = {{Elsevier Science Publishers B.V.}},
  title        = {{Input and state constrained inverse optimal control with application to power networks}},
  url          = {{http://dx.doi.org/10.1016/j.ifacol.2023.10.196}},
  doi          = {{10.1016/j.ifacol.2023.10.196}},
  year         = {{2023}},
}