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A Vibroacoustic Application of Modeling and Control of Linear Parameter-Varying Systems

By J De Caigny, JF Camino, RCLF Oliveira, PLD Peres and J Swevers


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 H-2/H-infinity 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

Topics: Gain-scheduled and robust control, LPV modeling, H-2 and H-infinity performance, linear parameter-varying systems, Discrete-time-systems, H-infinity-control, Low-frequency Noise, Gain-scheduled H-2, Lpv Control, Subspace Identification, Sound-transmission, Lyapunov Functions, Polytopic Systems, Uncertain Systems
Publisher: Abcm Brazilian Soc Mechanical Sciences & Engineering
Year: 2015
DOI identifier: 10.1590/S1678-58782010000400002
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