New Modeling and Control Design Techniques for Smart Deformable Aircraft Structures

A new modeling and control design specie cally tailored to smart aeroelastic systems is presented. The control problem is to achievea roll maneuverwith a desired roll rateusing a piezoelectric material laminated e exible wing subject to aerodynamic e eld. This multidisciplinary system of an elastic structure with piezoelectric actuating and sensing under external aerodynamic load is modeled with an integrated e nite element method. The deformed structureforobtaining thespecie crollrateismadeupofnewmassandstiffnessmatrices,whicharefunctionsofthe steady-state input electric potential to piezoelectric actuators. The resulting model in the generalized coordinates, whichhasa massmatrix,a nonsymmetricaerodynamicdamping matrix,and anonsymmetricstiffnessmatrix (due to aerodynamic stiffness ), is then transformed to real but nonorthogonal modal coordinates and a reduced-order model is developed. A new control design algorithm based on reciprocal state-space framework is introduced to achieve the desired roll rate and to dissipate vibrations by applying acceleration feedback.