Optimal sizing and placement of piezo-actuators for active flutter suppression

Abstract

The purpose of this work is to design an active control system for flutter suppression of a laminated plate wing model using segmented piezo-actuators. We describe investigations pertaining to the optimal size, thickness and locations of piezo-actuators on a laminated plate-wing structure for flutter suppression. The analysis for the laminated composite wing model is conducted by the Ritz solution technique, which represents the displacement on the plate in terms of power series in spanwise and chordwise directions. The active control system design for flutter suppression requires the equation of motion to be expressed in a linear time-invariant state-space form. The doublet-lattice method is used to compute unsteady aerodynamic forces, which are approximated as the transfer functions of the Laplace variable by the minimum-state method combined with an optimization technique. To design the control system, linear quadratic regulator theory with output feedback is considered in this study. The feedback control gains are obtained by solving coupled nonlinear matrix equations via numerical optimization routines. The optimal geometry of piezo-actuators which minimizes the control performance index is determined by the optimization technique referred to as the sequential linear programming method. The numerical result shows a substantial saving in control effort compared with the initial model.

A novel optimal configuration of sensor and actuator using a non-linear integer programming genetic algorithm for active vibration control

“…Han and Lee (1999) optimized the locations of the actuators and sensors based on controllability, observability and spillover, and the first three modes of vibration were suppressed. Bruant et al (2001), Dhingra and Lee (1995) and Nam et al (1996) considered the measurement error and the control energy as a quadratic cost function to optimize the locations of the actuators and sensors. In Hale and Daraji (2012), an objective function is employed based on modified H ' to locate the actuator-sensor pairs using a GA, and the first six modes of vibration for a square isotropic plate.…”

Optimal location of piezoelectric actuators for active vibration control of thin axially functionally graded beams

“…The first one consists of combining optimization of actuators locations and controller parameters. For example Bruant et al (2001), Dhingra and Lee (1995), Kondoh et al (1990), Nam et al (1996), Ramesh Kumar and Narayanan (2008), Schulz et al (2013) and Yang and Lee (1993) propose a quadratic cost function taking into account the measurement error and the control energy. The spatial H2 norm of the closed-loop transfer matrix from the disturbance to the distributed controlled output is used as the optimization index (Liu et al 2006).…”

Simultaneous energy harvesting and gust alleviation for a multifunctional composite wing spar using reduced energy control via piezoceramics

“…The PZT actuators have been actuated by active control laws for flutter suppression. [2][3][4] However, the use of batteries as power sources is a critical issue for sensing and control systems due to their bulk size and limited lifetime. 5 Recent developments in microelectronics have made low power requirements possible (on the order of several hundred microwatts) for signal conditioning electronics.…”