Analysis of the "Sub-optimal" second-order sliding-mode control algorithm in the frequency domain

Igor Boiko; Leonid Fridman; Rafael Iriarte; Alessandro Pisano; Elio Usai

doi:10.1109/cdc.2004.1428633

Analysis of the "Sub-optimal" second-order sliding-mode control algorithm in the frequency domain

Igor Boiko, Leonid Fridman, Rafael Iriarte, Alessandro Pisano, Elio Usai

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The frequency-domain characteristics of the "Sub-optimal" second-order sliding mode control (2-SMC) algorithm are analyzed making reference to the feedback control of linear plants. We show that if the plant is stable and its relative degree is greater than two then a stable periodic solution may exist. Two methods for computing the amplitude and frequency of the limit cycle are proposed. The dependence of the frequency and amplitude of the periodic solution from the tuning parameters of the 2-SMC algorithm is investigated.

Original language	British English
Article number	TuA07.1
Pages (from-to)	219-224
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
DOIs	https://doi.org/10.1109/cdc.2004.1428633
State	Published - 2004
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

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10.1109/cdc.2004.1428633

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title = "Analysis of the {"}Sub-optimal{"} second-order sliding-mode control algorithm in the frequency domain",

abstract = "The frequency-domain characteristics of the {"}Sub-optimal{"} second-order sliding mode control (2-SMC) algorithm are analyzed making reference to the feedback control of linear plants. We show that if the plant is stable and its relative degree is greater than two then a stable periodic solution may exist. Two methods for computing the amplitude and frequency of the limit cycle are proposed. The dependence of the frequency and amplitude of the periodic solution from the tuning parameters of the 2-SMC algorithm is investigated.",

author = "Igor Boiko and Leonid Fridman and Rafael Iriarte and Alessandro Pisano and Elio Usai",

year = "2004",

doi = "10.1109/cdc.2004.1428633",

language = "British English",

volume = "1",

pages = "219--224",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

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T1 - Analysis of the "Sub-optimal" second-order sliding-mode control algorithm in the frequency domain

AU - Boiko, Igor

AU - Fridman, Leonid

AU - Iriarte, Rafael

AU - Pisano, Alessandro

AU - Usai, Elio

PY - 2004

Y1 - 2004

N2 - The frequency-domain characteristics of the "Sub-optimal" second-order sliding mode control (2-SMC) algorithm are analyzed making reference to the feedback control of linear plants. We show that if the plant is stable and its relative degree is greater than two then a stable periodic solution may exist. Two methods for computing the amplitude and frequency of the limit cycle are proposed. The dependence of the frequency and amplitude of the periodic solution from the tuning parameters of the 2-SMC algorithm is investigated.

AB - The frequency-domain characteristics of the "Sub-optimal" second-order sliding mode control (2-SMC) algorithm are analyzed making reference to the feedback control of linear plants. We show that if the plant is stable and its relative degree is greater than two then a stable periodic solution may exist. Two methods for computing the amplitude and frequency of the limit cycle are proposed. The dependence of the frequency and amplitude of the periodic solution from the tuning parameters of the 2-SMC algorithm is investigated.

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U2 - 10.1109/cdc.2004.1428633

DO - 10.1109/cdc.2004.1428633

M3 - Conference article

AN - SCOPUS:14344249488

SN - 0191-2216

VL - 1

SP - 219

EP - 224

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - TuA07.1

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

Analysis of the "Sub-optimal" second-order sliding-mode control algorithm in the frequency domain

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