Title
Mixed-objective optimization of track-following controllers using linear matrix inequalities
Abstract
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
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.130.90
Ho Seong Li230.90
Lin Guo353.70