Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis

Paul Mayr; Markus Reichhartinger; Stefan Koch; Alessandro  Pisano

doi:10.1109/VSS61690.2024.10753410

Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis

Paul Mayr, Markus Reichhartinger, Stefan Koch, Alessandro Pisano

Institute of Automation and Control (4430)

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

Abstract

This paper investigates discretization chattering effects in a distributed-parameter process governed by the diffusion PDE and equipped with a sliding-mode-based boundary controller. The collocated measurement is sampled in time and the boundary control signal is applied through a zero-order-hold element. The limit cycle modes constituting the chattering effects are determined exactly by exploiting the difference equation method, yielding their period and spatially dependent amplitude. Simulation results show that the theoretically determined limit cycle modes occur in the closed-loop system.

Original language	English
Title of host publication	2024 17th International Workshop on Variable Structure Systems, VSS 2024
Publisher	IEEE
Pages	7-12
Number of pages	6
ISBN (Electronic)	979-8-3503-5368-6
DOIs	https://doi.org/10.1109/VSS61690.2024.10753410
Publication status	Published - 2024
Event	17th International Workshop on Variable Structure Systems, VSS 2024 - Abu Dhabi, United Arab Emirates Duration: 21 Oct 2024 → 24 Oct 2024

Publication series

Name	Proceedings of IEEE International Workshop on Variable Structure Systems
ISSN (Print)	2165-4816
ISSN (Electronic)	2165-4824

Conference

Conference	17th International Workshop on Variable Structure Systems, VSS 2024
Country/Territory	United Arab Emirates
City	Abu Dhabi
Period	21/10/24 → 24/10/24

Keywords

chattering effect
distributed-parameter systems
diffusion process
boundary control
zero-order-hold method
Chattering effect

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1109/VSS61690.2024.10753410

Cite this

Mayr, P., Reichhartinger, M., Koch, S., & Pisano, A. (2024). Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis. In 2024 17th International Workshop on Variable Structure Systems, VSS 2024 (pp. 7-12). (Proceedings of IEEE International Workshop on Variable Structure Systems). IEEE. https://doi.org/10.1109/VSS61690.2024.10753410

Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis. / Mayr, Paul ; Reichhartinger, Markus ; Koch, Stefan et al.
2024 17th International Workshop on Variable Structure Systems, VSS 2024. IEEE, 2024. p. 7-12 (Proceedings of IEEE International Workshop on Variable Structure Systems).

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

Mayr, P , Reichhartinger, M , Koch, S & Pisano, A 2024, Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis. in 2024 17th International Workshop on Variable Structure Systems, VSS 2024. Proceedings of IEEE International Workshop on Variable Structure Systems, IEEE, pp. 7-12, 17th International Workshop on Variable Structure Systems, VSS 2024, Abu Dhabi, United Arab Emirates, 21/10/24. https://doi.org/10.1109/VSS61690.2024.10753410

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title = "Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis",

abstract = "This paper investigates discretization chattering effects in a distributed-parameter process governed by the diffusion PDE and equipped with a sliding-mode-based boundary controller. The collocated measurement is sampled in time and the boundary control signal is applied through a zero-order-hold element. The limit cycle modes constituting the chattering effects are determined exactly by exploiting the difference equation method, yielding their period and spatially dependent amplitude. Simulation results show that the theoretically determined limit cycle modes occur in the closed-loop system.",

keywords = "chattering effect, distributed-parameter systems, diffusion process, boundary control, zero-order-hold method, Chattering effect",

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Y1 - 2024

N2 - This paper investigates discretization chattering effects in a distributed-parameter process governed by the diffusion PDE and equipped with a sliding-mode-based boundary controller. The collocated measurement is sampled in time and the boundary control signal is applied through a zero-order-hold element. The limit cycle modes constituting the chattering effects are determined exactly by exploiting the difference equation method, yielding their period and spatially dependent amplitude. Simulation results show that the theoretically determined limit cycle modes occur in the closed-loop system.

AB - This paper investigates discretization chattering effects in a distributed-parameter process governed by the diffusion PDE and equipped with a sliding-mode-based boundary controller. The collocated measurement is sampled in time and the boundary control signal is applied through a zero-order-hold element. The limit cycle modes constituting the chattering effects are determined exactly by exploiting the difference equation method, yielding their period and spatially dependent amplitude. Simulation results show that the theoretically determined limit cycle modes occur in the closed-loop system.

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BT - 2024 17th International Workshop on Variable Structure Systems, VSS 2024

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T2 - 17th International Workshop on Variable Structure Systems, VSS 2024

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Boundary Sliding Mode Control of a Diffusion Process under Sampling and Hold: Chattering Analysis

Abstract

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Keywords

ASJC Scopus subject areas

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