Zhang, X., Dong, Z., Hromcik, M., Hengster-Movric, K. et al., "Reduced-Order Robust Controller Design for Vibration Reduction," SAE Technical Paper 2016-01-1845, 2016, doi:10.4271/2016-01-1845.
Active vibration reduction for lightweight structures has attracted more and more attention in automotive industries. In this paper, reduced-order controllers are designed based on H∞ techniques to realize vibration reduction. A finite element model of piezo-based smart structure is constructed from which a nominal model containing 5 modes and validation model containing 10 modes are extracted. A mixed-sensitivity robust H∞ controller is firstly designed based on the nominal structural model. Considering the ease of controller deployment, an order reduction for the controller is then exploited using balanced truncation method. The effectiveness of the reduced-order controller is finally verified on the validation model via system simulations.