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

Jan De Caigny, Juan Francisco Camino, Ricardo C L F de Oliveira, Pedro Luis D Peres, Jan Swevers
2010 Journal of the Brazilian Society of Mechanical Sciences and Engineering  
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
more » ... eratures). Using the obtained LPV model, gain-scheduled and robust multiobjective H 2 /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.
doi:10.1590/s1678-58782010000400002 fatcat:sinzmtegsrdvvi5xxxrgoelula