Suppression of Thermal Postbuckling and Nonlinear Panel Flutter Motions Using Piezoelectric Actuators

Active output feedback control of large amplitude nonlinear panel flutter at supersonic speeds with and without temperature effect is presented. A coupled structural-electrical modal formulation using finite elements is applied. Suppression of three types of panel response is studied: limit cycle oscillations, static thermal postbuckling, and chaotic motion. The controller, composed of a linear quadratic regulator and an extended Kalman filter, is developed and investigated. The extended Kalman filter considers the nonlinear state-space matrix and has a gain sequence evaluated online. The norms of the feedback control gain are employed for the optimal placement of piezoelectric actuators, and the norms of the Kalman filter estimation gain are used to validate the best locations for the sensors. A symmetric laminated composite plate at supersonic speeds with or without the influence of elevated temperatures is investigated. Two types of piezoelectric materials, PZT5A and macrofiber composite actuators, embedded in the composite panel are considered to suppress the nonlinear panel flutter. Simulation results show that the linear quadratic regulator/Kalman filter controller can suppress all three types of panel response with or without thermal effects.

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