Robust mixed H2/H∞ optimal controller design

Yücel Aydin

doi:10.1016/S1474-6670(17)35804-4

Robust mixed H₂/H_∞ optimal controller design

Yücel Aydin^*

^*Corresponding author for this work

Department of Control and Automation Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper addresses the problem of dynamic output feedback robust mixed H₂/H_∞ norm optimal control with regional pole constraints. The problem can be formulated a optimization problem involving LM1, Linear Matrix Inequalities, The main purpose of the robust optimal control problem is to minimize mixed H₂/H_∞ norm of the closed loop transfer function matrix under some constraints. In the other words, the main objectives of the robust optimal control is to minimize mixed H₂/H_∞ norm of the closed loop transfer function matrix under the system performance constraints. In this paper, mixed H₂/H_∞ performance index is minimized under the constraint of H₂ performance, the constraint of H_∞ performance and the regional pole placement. Recent years LMI are extensively used in control system synthesis. The synthesis problem is solved via LMI.

Original language	English
Pages (from-to)	39-43
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	36
Issue number	7
DOIs	https://doi.org/10.1016/S1474-6670(17)35804-4
Publication status	Published - 2003
Event	3rd IFAC Workshop on Automatic Systems for Building the Infrastructure in Developing Countries, DECOM-TT 2003 - Istanbul, Turkey Duration: 26 Jun 2003 → 28 Jun 2003

Bibliographical note

Publisher Copyright:
Copyright © 2003 IFAC.

Keywords

H constraint
H constraint
LMI
Mixed H/H performance
Regional pole placement
Robust control

Access to Document

10.1016/S1474-6670(17)35804-4

Cite this

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title = "Robust mixed H2/H∞ optimal controller design",

abstract = "This paper addresses the problem of dynamic output feedback robust mixed H2/H∞ norm optimal control with regional pole constraints. The problem can be formulated a optimization problem involving LM1, Linear Matrix Inequalities, The main purpose of the robust optimal control problem is to minimize mixed H2/H∞ norm of the closed loop transfer function matrix under some constraints. In the other words, the main objectives of the robust optimal control is to minimize mixed H2/H∞ norm of the closed loop transfer function matrix under the system performance constraints. In this paper, mixed H2/H∞ performance index is minimized under the constraint of H2 performance, the constraint of H∞ performance and the regional pole placement. Recent years LMI are extensively used in control system synthesis. The synthesis problem is solved via LMI.",

keywords = "H constraint, H constraint, LMI, Mixed H/H performance, Regional pole placement, Robust control",

author = "Y{\"u}cel Aydin",

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AB - This paper addresses the problem of dynamic output feedback robust mixed H2/H∞ norm optimal control with regional pole constraints. The problem can be formulated a optimization problem involving LM1, Linear Matrix Inequalities, The main purpose of the robust optimal control problem is to minimize mixed H2/H∞ norm of the closed loop transfer function matrix under some constraints. In the other words, the main objectives of the robust optimal control is to minimize mixed H2/H∞ norm of the closed loop transfer function matrix under the system performance constraints. In this paper, mixed H2/H∞ performance index is minimized under the constraint of H2 performance, the constraint of H∞ performance and the regional pole placement. Recent years LMI are extensively used in control system synthesis. The synthesis problem is solved via LMI.

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