Interpolation-Based Modeling of MIMO LPV Systems

Autor(es)

De Caigny, Jan ^[1] ; Camino, Juan F. ^[2] ; Swevers, Jan ^[1]

Afiliação do(s) autor(es)

^[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee - Belgium

^[2] Univ Estadual Campinas, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY; v. 19, n. 1, p. 46-63, JAN 2011.
• Citações Web of Science: 42

Resumo

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)

• Processo FAPESP: 09/03304-5 - Validação experimental numa bancada de vibração torcional de técnicas de controle e de identificação para sistemas LPV
• Beneficiário: Juan Francisco Camino
• Modalidade de apoio: Auxílio à Pesquisa - Regular