Self-triggered control for constrained systems: A contractive set-based approach

Kazumune Hashimoto; Shuichi Adachi; Dimos V. Dimarogonas

doi:10.23919/ACC.2017.7963085

Self-triggered control for constrained systems: A contractive set-based approach

Kazumune Hashimoto, Shuichi Adachi, Dimos V. Dimarogonas

Department of Applied Physics and Physico-Informatics

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

5 Citations (Scopus)

Abstract

In this paper, a self-triggered control scheme for constrained discrete-time control systems is presented. The key idea of our approach is to construct a transition system or a graph structure from a collection of polyhedral sets, which are generated based on the notion of set-invariance theory. The inter-event time steps are then determined through a standard graph search algorithm to obtain the minimal total cost to a terminal state. The proposed strategy is illustrated through a numerical example.

Original language	English
Title of host publication	2017 American Control Conference, ACC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1011-1016
Number of pages	6
ISBN (Electronic)	9781509059928
DOIs	https://doi.org/10.23919/ACC.2017.7963085
Publication status	Published - 2017 Jun 29
Event	2017 American Control Conference, ACC 2017 - Seattle, United States Duration: 2017 May 24 → 2017 May 26

Other

Other	2017 American Control Conference, ACC 2017
Country/Territory	United States
City	Seattle
Period	17/5/24 → 17/5/26

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.23919/ACC.2017.7963085

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Hashimoto, K, Adachi, S & Dimarogonas, DV 2017, Self-triggered control for constrained systems: A contractive set-based approach. in 2017 American Control Conference, ACC 2017., 7963085, Institute of Electrical and Electronics Engineers Inc., pp. 1011-1016, 2017 American Control Conference, ACC 2017, Seattle, United States, 17/5/24. https://doi.org/10.23919/ACC.2017.7963085

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AB - In this paper, a self-triggered control scheme for constrained discrete-time control systems is presented. The key idea of our approach is to construct a transition system or a graph structure from a collection of polyhedral sets, which are generated based on the notion of set-invariance theory. The inter-event time steps are then determined through a standard graph search algorithm to obtain the minimal total cost to a terminal state. The proposed strategy is illustrated through a numerical example.

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ER -

Self-triggered control for constrained systems: A contractive set-based approach

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