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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Interpolation-Based Modeling of MIMO LPV Systems

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Author(s):
De Caigny, Jan [1] ; Camino, Juan F. [2] ; Swevers, Jan [1]
Total Authors: 3
Affiliation:
[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee - Belgium
[2] Univ Estadual Campinas, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY; v. 19, n. 1, p. 46-63, JAN 2011.
Web of Science Citations: 42
Abstract

This paper presents State-space Model Interpolation of Local Estimates (SMILE), a technique to estimate linear parameter-varying (LPV) state-space models for multiple-input multiple-output (MIMO) systems whose dynamics depends on multiple time-varying parameters, called scheduling parameters. The SMILE technique is based on the interpolation of linear time-invariant models estimated for constant values of the scheduling parameters. As the linear time-invariant models can be either continuous- or discrete-time, both continuous-and discrete-time LPV models can be obtained. The underlying interpolation technique is formulated as a linear least-squares problem that can be efficiently solved. The proposed technique yields homogeneous polynomial LPV models in the multi-simplex that are numerically well-conditioned and therefore suitable for LPV control synthesis. The potential of the SMILE technique is demonstrated by computing a continuous- time interpolating LPV model for an analytic mass-spring-damper system and a discrete-time interpolating LPV model for a mechatronic XY-motion system based on experimental data. (AU)

FAPESP's process: 09/03304-5 - Experimental validation of identification and control techniques for LPV systems using a torsional vibration setup
Grantee:Juan Francisco Camino
Support Opportunities: Regular Research Grants