Ellipsoid based L2 controller design for LPV systems with saturating actuators

Ibrahim Beklan Kucukdemiral; Levent Ucun; Yavuz Eren; Haluk Gorgun; Galip Cansever

Ellipsoid based L2 controller design for LPV systems with saturating actuators

Ibrahim Beklan Kucukdemiral, Levent Ucun, Yavuz Eren, Haluk Gorgun, Galip Cansever

Instrumentation and Control

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

Abstract

This paper addresses the L2 gain control problem for disturbance attenuation in Linear Parameter Varying (LPV) Systems having saturating actuators when the system is subjected to L2 disturbances. In the presented method, saturating actuator is expressed analytically with a convex hull of some linear feedback
which let us construct L2 control problem via Linear Matrix Inequalities (LMIs) which are obtained by some ellipsoids. It is shown that the stability and disturbance rejection capabilities of the control system are all measured by means of these nested ellipsoids where the inner ellipsoid covers the initial conditions for states whereas the outer ellipsoid designates the L2 gain of the system. It is shown that the performance of the controller is highly related by the topology of these ellipsoids. Finally, the efficiency of the proposed method is
successfully demonstrated through simulation studies on a single-track vehicle dynamics having some linear time-varying parameters.

Original language	English
Pages (from-to)	775-785
Number of pages	11
Journal	Turkish Journal of Electrical Engineering and Computer Sciences
Volume	19
Issue number	5
Publication status	Published - 2011

Keywords

LMIs
LPV systems
single track vehicle model
linear parameter varying

Documents and Links

https://journals.tubitak.gov.tr/elektrik/issue.htm?id=973

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title = "Ellipsoid based L2 controller design for LPV systems with saturating actuators",

abstract = "This paper addresses the L2 gain control problem for disturbance attenuation in Linear Parameter Varying (LPV) Systems having saturating actuators when the system is subjected to L2 disturbances. In the presented method, saturating actuator is expressed analytically with a convex hull of some linear feedbackwhich let us construct L2 control problem via Linear Matrix Inequalities (LMIs) which are obtained by some ellipsoids. It is shown that the stability and disturbance rejection capabilities of the control system are all measured by means of these nested ellipsoids where the inner ellipsoid covers the initial conditions for states whereas the outer ellipsoid designates the L2 gain of the system. It is shown that the performance of the controller is highly related by the topology of these ellipsoids. Finally, the efficiency of the proposed method issuccessfully demonstrated through simulation studies on a single-track vehicle dynamics having some linear time-varying parameters.",

keywords = "LMIs, LPV systems, single track vehicle model, linear parameter varying",

author = "Kucukdemiral, {Ibrahim Beklan} and Levent Ucun and Yavuz Eren and Haluk Gorgun and Galip Cansever",

year = "2011",

language = "English",

volume = "19",

pages = "775--785",

journal = "Turkish Journal of Electrical Engineering and Computer Sciences",

issn = "1300-0632",

publisher = "Turkiye Klinikleri Journal of Medical Sciences",

number = "5",

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TY - JOUR

T1 - Ellipsoid based L2 controller design for LPV systems with saturating actuators

AU - Kucukdemiral, Ibrahim Beklan

AU - Ucun, Levent

AU - Eren, Yavuz

AU - Gorgun, Haluk

AU - Cansever, Galip

PY - 2011

Y1 - 2011

N2 - This paper addresses the L2 gain control problem for disturbance attenuation in Linear Parameter Varying (LPV) Systems having saturating actuators when the system is subjected to L2 disturbances. In the presented method, saturating actuator is expressed analytically with a convex hull of some linear feedbackwhich let us construct L2 control problem via Linear Matrix Inequalities (LMIs) which are obtained by some ellipsoids. It is shown that the stability and disturbance rejection capabilities of the control system are all measured by means of these nested ellipsoids where the inner ellipsoid covers the initial conditions for states whereas the outer ellipsoid designates the L2 gain of the system. It is shown that the performance of the controller is highly related by the topology of these ellipsoids. Finally, the efficiency of the proposed method issuccessfully demonstrated through simulation studies on a single-track vehicle dynamics having some linear time-varying parameters.

AB - This paper addresses the L2 gain control problem for disturbance attenuation in Linear Parameter Varying (LPV) Systems having saturating actuators when the system is subjected to L2 disturbances. In the presented method, saturating actuator is expressed analytically with a convex hull of some linear feedbackwhich let us construct L2 control problem via Linear Matrix Inequalities (LMIs) which are obtained by some ellipsoids. It is shown that the stability and disturbance rejection capabilities of the control system are all measured by means of these nested ellipsoids where the inner ellipsoid covers the initial conditions for states whereas the outer ellipsoid designates the L2 gain of the system. It is shown that the performance of the controller is highly related by the topology of these ellipsoids. Finally, the efficiency of the proposed method issuccessfully demonstrated through simulation studies on a single-track vehicle dynamics having some linear time-varying parameters.

KW - LMIs

KW - LPV systems

KW - single track vehicle model

KW - linear parameter varying

M3 - Article

VL - 19

SP - 775

EP - 785

JO - Turkish Journal of Electrical Engineering and Computer Sciences

JF - Turkish Journal of Electrical Engineering and Computer Sciences

SN - 1300-0632

IS - 5

ER -