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

• Autor(a) principal: De Caigny,Jan
• Data de Publicação: 2010
• Outros Autores: Camino,Juan F., Oliveira,Ricardo C. L. F., Peres,Pedro L. D., Swevers,Jan
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
• Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000400002
• topic: Gain-scheduled and robust control; LPV modeling; H2 and H∞ performance; linear parameter-varying systems

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.