Title | ||
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Mixed-objective optimization of track-following controllers using linear matrix inequalities |
Abstract | ||
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In this paper, we present a mixed-objective optimization method for the track-following controller design in hard disk drives using linear matrix inequalities. The objective of achieving minimal position error in the presence of operational vibration and model variations is formulated into a set of constrained l-norm minimization problems. The minimization of the position error in the root-mean-square sense is formulated as an H2 norm minimization while the robustness to the dynamics variation is treated as an H∞ norm constraint. The external vibration and bias rejection requirement is treated as either an H2 or H∞ norm constraint. The optimization problems are treated purely in the discrete-time domain to avoid any performance degradation involved with continuous-time to discrete-time conversion. The resulted LMIs are solved by convex optimization after being transformed into a set of synthesis LMIs. The proposed controller is implemented and tested on production disk drives with fixed-point DSP controllers. The test showed 7∼11% improvement in position error over the conventional track-following controllers while achieving the comparable robust stability and the vibration rejection capability. |
Year | DOI | Venue |
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2003 | 10.1109/ACC.2003.1240518 | American Control Conference, 2003. Proceedings of the 2003 |
Keywords | DocType | Volume |
disc drives,discrete time systems,hard discs,linear matrix inequalities,optimisation,position control,stability,vibration control,h∞ norm constraint,h2 norm minimization,bias rejection requirement,convex optimization,discrete-time domain,external vibration,fixed-point dsp controller,hard disk drive,l-norm minimization problem,linear matrix inequality,minimal position error,mixed-objective optimization method,model variation,operational vibration,optimization problem,robust stability,root-mean-square,track-following controller,vibration rejection capability,degradation,production,root mean square,digital signal processing,discrete time,fixed point,robustness,error correction,testing | Conference | 5 |
ISSN | ISBN | Citations |
0743-1619 | 0-7803-7896-2 | 3 |
PageRank | References | Authors |
0.90 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shim, D.H. | 1 | 3 | 0.90 |
Ho Seong Li | 2 | 3 | 0.90 |
Lin Guo | 3 | 5 | 3.70 |