1. Robust Control of Uncertain Piezoelectric Laminated Plates Based on Model Reduction
- Author
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Yinghua Liu, Xiaobing Wang, Jianjun Chen, and Wei Gao
- Subjects
Singular perturbation ,Engineering ,business.industry ,Iterative learning control ,Vibration control ,Aerospace Engineering ,Finite element method ,symbols.namesake ,Control theory ,Robustness (computer science) ,Taylor series ,symbols ,Hamilton's principle ,Robust control ,business - Abstract
The reduction method and robust H1 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 H1 control design is studied,which includesthe robustH1 controller designofareduceduncertain generalized plantandthe robustness analysisoftheclosedsystemcomposedofthecontrollerandtheoriginaluncertainsystem.Numericalexamplesshow that the reduction method is suitable for a high-order uncertain system with small interval parameters and that the robust H1 control strategy for the uncertain system is feasible and practical.
- Published
- 2011