Robust Mixed H2-H∞ Control Synthesis for Dual-Stage Hard Disk Drives Using Convex Optimization

Ryan J. Caverly; Manash Chakraborty; Bin Huang; Raye Sosseh

doi:10.1016/j.ifacol.2023.10.685

Robust Mixed H₂-H_∞ Control Synthesis for Dual-Stage Hard Disk Drives Using Convex Optimization

Ryan J. Caverly, Manash Chakraborty, Bin Huang, Raye Sosseh

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

2 Scopus citations

Abstract

This paper presents a convex optimization-based control synthesis method for a dual-stage hard disk drive system that is robust to model uncertainty. A mixed H₂-H_∞ approach is used that minimizes the steady-state variance of the piezoelectric (PZT) micro-actuator stroke through the H₂ norm, while constraining the closed-loop sensitivity through the H_∞ norm. Robustness of the closed-loop sensitivity to model uncertainty is ensured through the use of a time-domain integral quadratic constraint (IQC) quantification of the voice coil motor (VCM) plant model uncertainty and a circle criterion-based matrix inequality condition. The synthesis method is derived in discrete time and involves iteratively solving semidefinite programs with linear matrix inequality (LMI) constraints. Numerical simulations demonstrate the benefits of the proposed synthesis method over other approaches in the literature that do not explicitly consider robustness to model uncertainty or the minimization of PZT micro-actuator stroke.

Original language	English (US)
Title of host publication	IFAC-PapersOnLine
Editors	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Publisher	Elsevier B.V.
Pages	10620-10625
Number of pages	6
Edition	2
ISBN (Electronic)	9781713872344
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.685
State	Published - Jul 1 2023
Externally published	Yes
Event	22nd IFAC World Congress - Yokohama, Japan Duration: Jul 9 2023 → Jul 14 2023

Publication series

Name	IFAC-PapersOnLine
Number	2
Volume	56
ISSN (Electronic)	2405-8963

Conference

Conference	22nd IFAC World Congress
Country/Territory	Japan
City	Yokohama
Period	7/9/23 → 7/14/23

Bibliographical note

Publisher Copyright:
Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords

Hard disk drives
control synthesis
integral quadratic constraints (IQCs)
linear matrix inequalities (LMIs)
robust control

Publisher link

10.1016/j.ifacol.2023.10.685

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Cite this

Robust Mixed H₂-H_∞ Control Synthesis for Dual-Stage Hard Disk Drives Using Convex Optimization. / Caverly, Ryan J.; Chakraborty, Manash; Huang, Bin et al.
IFAC-PapersOnLine. ed. / Hideaki Ishii; Yoshio Ebihara; Jun-ichi Imura; Masaki Yamakita. 2. ed. Elsevier B.V., 2023. p. 10620-10625 (IFAC-PapersOnLine; Vol. 56, No. 2).

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

Caverly, RJ, Chakraborty, M, Huang, B & Sosseh, R 2023, Robust Mixed H₂-H_∞ Control Synthesis for Dual-Stage Hard Disk Drives Using Convex Optimization. in H Ishii, Y Ebihara, J Imura & M Yamakita (eds), IFAC-PapersOnLine. 2 edn, IFAC-PapersOnLine, no. 2, vol. 56, Elsevier B.V., pp. 10620-10625, 22nd IFAC World Congress, Yokohama, Japan, 7/9/23. https://doi.org/10.1016/j.ifacol.2023.10.685

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