A vibroacoustic application of modeling and control of linear parameter-varying systems

Author(s)

De Caigny, Jan ^[1] ; Camino, Juan F. ^[2] ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D. ^[3] ; Swevers, Jan ^[1]

Affiliation

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

^[2] Univ Campinas UNICAMP, Sch Mech Engn, BR-13083970 Campinas, SP - Brazil

^[3] Univ Campinas UNICAMP, Sch Elect & Comp Engn, BR-13083970 Campinas, SP - Brazil

• Document type: Journal article
• Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 32, n. 4, p. 409-419, OCT-DEC 2010.
• Web of Science Citations: 2

Abstract

This paper applies recent advances in both modeling and control of Linear Parameter-Varying (LPV) systems to a vibroacoustic setup whose dynamics is highly sensitive to variations in the temperature. Based on experimental data, an LPV model is derived for this system using the State-space Model Interpolation of Local Estimates (SMILE) technique. This modeling technique interpolates linear time-invariant models estimated at distinct operating conditions of the system (in this case, different temperatures). Using the obtained LPV model, gain-scheduled and robust multiobjective H2/H∞ state feedback controllers are designed such that can consider a priori known bounds on the rate of parameter variation. Numerical simulations using the closed-loop systems are performed to validate the controllers and to show the advantages and versatility of the proposed techniques. (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