Robust Control of Uncertain Piezoelectric Laminated Plates Based on Model Reduction.

The reduction method and robust H∞ control for uncertain piezoelectric laminated plates with small interval parameters are investigated in this paper. The electromechanical coupling finite element equations of piezoelectric laminated plates are developed based on Hamilton principle. To reduce the high-order uncertain system with small interval parameters, a reduction method is presented by using the balanced model reduction, first-order Taylor expansion, and interval algorithm. Based on the reduction method, a new strategy of robust H∞ control design is studied, which includes the robust H∞ controller design of a reduced uncertain generalized plant and the robustness analysis of the closed system composed of the controller and the original uncertain system. Numerical examples show that the reduction method is suitable for a high-order uncertain system with small interval parameters and that the robust H∞ control strategy for the uncertain system is feasible and practical. [ABSTRACT FROM AUTHOR]