L2, H2 guaranteed-cost control of LPV Systems with saturating actuators

Akin Delibasi; Ibrahim Kucukdemiral; Galip Cansever

doi:10.1109/MED.2008.4602220

L2, H2 guaranteed-cost control of LPV Systems with saturating actuators

Akin Delibasi, Ibrahim Kucukdemiral, Galip Cansever

Instrumentation and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

The design problem of mixed L2, H2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L2 bounded disturbances is considered. First, a new formulation of H2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L2, H2 state-feedback controller for LPV systems subject to actuator saturations and L2-bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.

Original language	English
Title of host publication	Proceedings of the 16th Mediterranean Conference on Control and Automation
Publisher	IEEE
Pages	152-157
Number of pages	6
ISBN (Print)	9781424425051
DOIs	https://doi.org/10.1109/MED.2008.4602220
Publication status	Published - 19 Aug 2008
Event	2008 16th Mediterranean Conference on Control & Automation - Congress Center Ajaccio, Ajaccio, France Duration: 25 Jun 2008 → 27 Jun 2008 Conference number: 16

Conference

Conference	2008 16th Mediterranean Conference on Control & Automation
Country/Territory	France
City	Ajaccio
Period	25/06/08 → 27/06/08

Keywords

automation
actuators
hinfin control
linear matrix inequalities
linear systems
nonlinear control systems
state feedback
suboptimal control

Documents and Links

10.1109/MED.2008.4602220

Cite this

@inproceedings{6e8d23861e7643c999d9b402f4275009,

title = "L2, H2 guaranteed-cost control of LPV Systems with saturating actuators",

abstract = "The design problem of mixed L2, H2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L2 bounded disturbances is considered. First, a new formulation of H2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L2, H2 state-feedback controller for LPV systems subject to actuator saturations and L2-bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.",

keywords = "automation, actuators, hinfin control, linear matrix inequalities, linear systems, nonlinear control systems, state feedback, suboptimal control",

author = "Akin Delibasi and Ibrahim Kucukdemiral and Galip Cansever",

year = "2008",

month = aug,

day = "19",

doi = "10.1109/MED.2008.4602220",

language = "English",

isbn = "9781424425051",

pages = "152--157",

booktitle = "Proceedings of the 16th Mediterranean Conference on Control and Automation",

publisher = "IEEE",

address = "United States",

note = "2008 16th Mediterranean Conference on Control & Automation ; Conference date: 25-06-2008 Through 27-06-2008",

}

TY - GEN

T1 - L2, H2 guaranteed-cost control of LPV Systems with saturating actuators

AU - Delibasi, Akin

AU - Kucukdemiral, Ibrahim

AU - Cansever, Galip

N1 - Conference code: 16

PY - 2008/8/19

Y1 - 2008/8/19

N2 - The design problem of mixed L2, H2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L2 bounded disturbances is considered. First, a new formulation of H2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L2, H2 state-feedback controller for LPV systems subject to actuator saturations and L2-bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.

AB - The design problem of mixed L2, H2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L2 bounded disturbances is considered. First, a new formulation of H2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L2, H2 state-feedback controller for LPV systems subject to actuator saturations and L2-bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.

KW - automation

KW - actuators

KW - hinfin control

KW - linear matrix inequalities

KW - linear systems

KW - nonlinear control systems

KW - state feedback

KW - suboptimal control

U2 - 10.1109/MED.2008.4602220

DO - 10.1109/MED.2008.4602220

M3 - Conference contribution

SN - 9781424425051

SP - 152

EP - 157

BT - Proceedings of the 16th Mediterranean Conference on Control and Automation

PB - IEEE

T2 - 2008 16th Mediterranean Conference on Control & Automation

Y2 - 25 June 2008 through 27 June 2008

ER -

L2, H2 guaranteed-cost control of LPV Systems with saturating actuators

Abstract

Conference

Keywords

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