Mixed H2/H∞ state feedback control

Changtao Qin; Guangren Duan

Mixed H₂/H_∞ state feedback control

Changtao Qin^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

Abstract

A new approach for mixed H₂/H_∞ multi-objective state feedback controller synthesis for continuous-time system was established through dilated linear matrix inequalities (LMI). The proposed approach can parameterize the controllers without involving the Lyapunov variables in the parameterization. Taking advantage this feature, multi-objective controller with non-common Lyapunov variables was designed. A state feedback control law was obtained by synthesize mixed H₂/H_∞ performance with the approach. A practical design example illustrates that the proposed approach has less conservation than the approach with common Lyapunov variables.

Original language	English
Pages (from-to)	57-60
Number of pages	4
Journal	Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition)
Volume	38
Issue number	3
State	Published - Mar 2010

Keywords

Linear matrix inequalities
Lyapunov functions
Mixed H/H control
Multi-objective optimization
State feedback

Cite this

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abstract = "A new approach for mixed H2/H∞ multi-objective state feedback controller synthesis for continuous-time system was established through dilated linear matrix inequalities (LMI). The proposed approach can parameterize the controllers without involving the Lyapunov variables in the parameterization. Taking advantage this feature, multi-objective controller with non-common Lyapunov variables was designed. A state feedback control law was obtained by synthesize mixed H2/H∞ performance with the approach. A practical design example illustrates that the proposed approach has less conservation than the approach with common Lyapunov variables.",

keywords = "Linear matrix inequalities, Lyapunov functions, Mixed H/H control, Multi-objective optimization, State feedback",

author = "Changtao Qin and Guangren Duan",

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journal = "Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition)",

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AU - Qin, Changtao

AU - Duan, Guangren

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AB - A new approach for mixed H2/H∞ multi-objective state feedback controller synthesis for continuous-time system was established through dilated linear matrix inequalities (LMI). The proposed approach can parameterize the controllers without involving the Lyapunov variables in the parameterization. Taking advantage this feature, multi-objective controller with non-common Lyapunov variables was designed. A state feedback control law was obtained by synthesize mixed H2/H∞ performance with the approach. A practical design example illustrates that the proposed approach has less conservation than the approach with common Lyapunov variables.

KW - Linear matrix inequalities

KW - Lyapunov functions

KW - Mixed H/H control

KW - Multi-objective optimization

KW - State feedback

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M3 - 文章

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SN - 1671-4512

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JO - Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition)

JF - Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition)

IS - 3

ER -

Mixed H₂/H_∞ state feedback control

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Keywords

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