Stability analysis and bounded sliding-mode control of a class of multi-input bilinear systems

Yon-Ping Chen; Jeang Lin Chang; Kuo Ming Lai

doi:10.1299/jsmec.42.865

Stability analysis and bounded sliding-mode control of a class of multi-input bilinear systems

Yon-Ping Chen^*, Jeang Lin Chang, Kuo Ming Lai

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A bounded sliding-mode controller is developed for a class of multi-input bilinear systems. The sliding vector design is based on the conventional pole-assignment method for linear time-invariant systems. Three conditions are required for the assigned eigenvalues when applying the pole-assignment method. A potential reachingand-sliding region and a stable sliding region are determined around the origin, which is shown to be locally asymptotically stable. Numeric simulation results are used to demonstrate the success of the proposed bounded sliding-mode controller.

Original language	English
Pages (from-to)	865-870
Number of pages	6
Journal	JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
Volume	42
Issue number	4
DOIs	https://doi.org/10.1299/jsmec.42.865
State	Published - Dec 1999

Keywords

Bounded slinding-mode control
Multi-input bilinear systems
Stability analysis

Access to Document

10.1299/jsmec.42.865

Cite this

@article{4d529f38423f43a3abcab200c46fabe8,

title = "Stability analysis and bounded sliding-mode control of a class of multi-input bilinear systems",

abstract = "A bounded sliding-mode controller is developed for a class of multi-input bilinear systems. The sliding vector design is based on the conventional pole-assignment method for linear time-invariant systems. Three conditions are required for the assigned eigenvalues when applying the pole-assignment method. A potential reachingand-sliding region and a stable sliding region are determined around the origin, which is shown to be locally asymptotically stable. Numeric simulation results are used to demonstrate the success of the proposed bounded sliding-mode controller.",

keywords = "Bounded slinding-mode control, Multi-input bilinear systems, Stability analysis",

author = "Yon-Ping Chen and Chang, {Jeang Lin} and Lai, {Kuo Ming}",

year = "1999",

month = dec,

doi = "10.1299/jsmec.42.865",

language = "English",

volume = "42",

pages = "865--870",

journal = "JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing",

issn = "1344-7653",

publisher = "Japan Society of Mechanical Engineers",

number = "4",

}

TY - JOUR

T1 - Stability analysis and bounded sliding-mode control of a class of multi-input bilinear systems

AU - Chen, Yon-Ping

AU - Chang, Jeang Lin

AU - Lai, Kuo Ming

PY - 1999/12

Y1 - 1999/12

N2 - A bounded sliding-mode controller is developed for a class of multi-input bilinear systems. The sliding vector design is based on the conventional pole-assignment method for linear time-invariant systems. Three conditions are required for the assigned eigenvalues when applying the pole-assignment method. A potential reachingand-sliding region and a stable sliding region are determined around the origin, which is shown to be locally asymptotically stable. Numeric simulation results are used to demonstrate the success of the proposed bounded sliding-mode controller.

AB - A bounded sliding-mode controller is developed for a class of multi-input bilinear systems. The sliding vector design is based on the conventional pole-assignment method for linear time-invariant systems. Three conditions are required for the assigned eigenvalues when applying the pole-assignment method. A potential reachingand-sliding region and a stable sliding region are determined around the origin, which is shown to be locally asymptotically stable. Numeric simulation results are used to demonstrate the success of the proposed bounded sliding-mode controller.

KW - Bounded slinding-mode control

KW - Multi-input bilinear systems

KW - Stability analysis

UR - http://www.scopus.com/inward/record.url?scp=4243448532&partnerID=8YFLogxK

U2 - 10.1299/jsmec.42.865

DO - 10.1299/jsmec.42.865

M3 - Article

AN - SCOPUS:4243448532

SN - 1344-7653

VL - 42

SP - 865

EP - 870

JO - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing

JF - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing

IS - 4

ER -

Stability analysis and bounded sliding-mode control of a class of multi-input bilinear systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this