Dynamic output feedback control of 2-D linear parameter-varying systems

Ligang Wu; Zidong Wang

doi:10.1007/978-3-319-13698-1_5

Dynamic output feedback control of 2-D linear parameter-varying systems

Ligang Wu^*
, Zidong Wang

^*Corresponding author for this work

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

1 Scopus citations

Abstract

This chapter is devoted to studying the robust H_∞dynamic output feedback (DOF) controller design problem for 2-D LPV systems. For a 2-D discrete system in a form of the well-known FMLSS model with linear time-varying parameters, sufficient conditions are first established for the existence of the desired H_∞ DOF controller in terms of PLMIs. Then, by decoupling technique and linearizing variable transform method, the desired DOF controller can be obtained by solving a convex optimization problem with the application of efficient interior-point optimization algorithm. A gridding technique is applied to convert the infinite-dimensional optimization problem into a finite-dimension one.

Original language	English
Pages (from-to)	107-120
Number of pages	14
Journal	Studies in Systems, Decision and Control
Volume	18
DOIs	https://doi.org/10.1007/978-3-319-13698-1_5
State	Published - 2015
Externally published	Yes

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title = "Dynamic output feedback control of 2-D linear parameter-varying systems",

abstract = "This chapter is devoted to studying the robust H∞dynamic output feedback (DOF) controller design problem for 2-D LPV systems. For a 2-D discrete system in a form of the well-known FMLSS model with linear time-varying parameters, sufficient conditions are first established for the existence of the desired H∞ DOF controller in terms of PLMIs. Then, by decoupling technique and linearizing variable transform method, the desired DOF controller can be obtained by solving a convex optimization problem with the application of efficient interior-point optimization algorithm. A gridding technique is applied to convert the infinite-dimensional optimization problem into a finite-dimension one.",

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Y1 - 2015

N2 - This chapter is devoted to studying the robust H∞dynamic output feedback (DOF) controller design problem for 2-D LPV systems. For a 2-D discrete system in a form of the well-known FMLSS model with linear time-varying parameters, sufficient conditions are first established for the existence of the desired H∞ DOF controller in terms of PLMIs. Then, by decoupling technique and linearizing variable transform method, the desired DOF controller can be obtained by solving a convex optimization problem with the application of efficient interior-point optimization algorithm. A gridding technique is applied to convert the infinite-dimensional optimization problem into a finite-dimension one.

AB - This chapter is devoted to studying the robust H∞dynamic output feedback (DOF) controller design problem for 2-D LPV systems. For a 2-D discrete system in a form of the well-known FMLSS model with linear time-varying parameters, sufficient conditions are first established for the existence of the desired H∞ DOF controller in terms of PLMIs. Then, by decoupling technique and linearizing variable transform method, the desired DOF controller can be obtained by solving a convex optimization problem with the application of efficient interior-point optimization algorithm. A gridding technique is applied to convert the infinite-dimensional optimization problem into a finite-dimension one.

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JO - Studies in Systems, Decision and Control

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Dynamic output feedback control of 2-D linear parameter-varying systems

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