Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants

Richard Seeber; Markus Reichhartinger

doi:10.1109/CDC45484.2021.9683411

Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants

Richard Seeber^*, Markus Reichhartinger

^*Corresponding author for this work

Institute of Automation and Control (4430)

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

Abstract

The design of sliding-mode controllers with continuous control signals in the presence of saturated actuators is a challenging task. This paper analyzes existing formal assumptions required by such designs, and proposes a new controller design that is applicable for a large class of linear time-invariant plants. The proposed design is based on the suitable selection of a sliding surface, to which the conditioned super-twisting algorithm is then applied. Stability conditions for the closed loop in presence of perturbations with bounded amplitude and slope are given. Simulation results obtained with the model of a continuous flow heater for silicon wafer processing illustrate the presented approach.

Original language	English
Title of host publication	60th IEEE Conference on Decision and Control (CDC)
Publisher	IEEE Control Systems Society
Pages	6391-6396
ISBN (Print)	978-1-6654-3659-5
DOIs	https://doi.org/10.1109/CDC45484.2021.9683411
Publication status	Published - 2021
Event	60th IEEE Conference on Decision and Control: CDC 2021 - Virtuell, United States Duration: 13 Dec 2021 → 15 Dec 2021

Conference

Conference	60th IEEE Conference on Decision and Control
Abbreviated title	CDC 2021
Country/Territory	United States
City	Virtuell
Period	13/12/21 → 15/12/21

Access to Document

10.1109/CDC45484.2021.9683411

Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants
Richard Seeber (Speaker)
17 Dec 2021
Activity: Talk or presentation › Talk at conference or symposium › Science to science

Cite this

@inproceedings{3c495dcd624a4aa88827050544059a55,

title = "Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants",

abstract = "The design of sliding-mode controllers with continuous control signals in the presence of saturated actuators is a challenging task. This paper analyzes existing formal assumptions required by such designs, and proposes a new controller design that is applicable for a large class of linear time-invariant plants. The proposed design is based on the suitable selection of a sliding surface, to which the conditioned super-twisting algorithm is then applied. Stability conditions for the closed loop in presence of perturbations with bounded amplitude and slope are given. Simulation results obtained with the model of a continuous flow heater for silicon wafer processing illustrate the presented approach.",

author = "Richard Seeber and Markus Reichhartinger",

year = "2021",

doi = "10.1109/CDC45484.2021.9683411",

language = "English",

isbn = "978-1-6654-3659-5",

pages = "6391--6396",

booktitle = "60th IEEE Conference on Decision and Control (CDC)",

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AU - Seeber, Richard

AU - Reichhartinger, Markus

PY - 2021

Y1 - 2021

N2 - The design of sliding-mode controllers with continuous control signals in the presence of saturated actuators is a challenging task. This paper analyzes existing formal assumptions required by such designs, and proposes a new controller design that is applicable for a large class of linear time-invariant plants. The proposed design is based on the suitable selection of a sliding surface, to which the conditioned super-twisting algorithm is then applied. Stability conditions for the closed loop in presence of perturbations with bounded amplitude and slope are given. Simulation results obtained with the model of a continuous flow heater for silicon wafer processing illustrate the presented approach.

AB - The design of sliding-mode controllers with continuous control signals in the presence of saturated actuators is a challenging task. This paper analyzes existing formal assumptions required by such designs, and proposes a new controller design that is applicable for a large class of linear time-invariant plants. The proposed design is based on the suitable selection of a sliding surface, to which the conditioned super-twisting algorithm is then applied. Stability conditions for the closed loop in presence of perturbations with bounded amplitude and slope are given. Simulation results obtained with the model of a continuous flow heater for silicon wafer processing illustrate the presented approach.

U2 - 10.1109/CDC45484.2021.9683411

DO - 10.1109/CDC45484.2021.9683411

M3 - Conference paper

SN - 978-1-6654-3659-5

SP - 6391

EP - 6396

BT - 60th IEEE Conference on Decision and Control (CDC)

PB - IEEE Control Systems Society

T2 - 60th IEEE Conference on Decision and Control

Y2 - 13 December 2021 through 15 December 2021

ER -

Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants

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Sliding Surface Selection for Saturated Sliding-Mode Control of Linear Time-Invariant Plants

Cite this