Piezoelectric Multimode Vibration Control for Stiffened Plate Using ADRC-Based Acceleration Compensation

Abstract

Considering the variety of uncertainties and disturbances in real active vibration control systems, a novel piezoelectric multimode control strategy for an all-clamped stiffened plate (ACSP) structure is proposed in this paper. First, an active disturbance rejection control (ADRC) method, i.e., the extended state observer (ESO)-based vibration control scheme, is employed to ensure the performance of the vibration suppression and rejection of the lumped disturbances of the closed-loop system. Second, a proportional differential controller and an acceleration feedforward controller produce the control law for each vibration mode. Moreover, a chaos optimization method based on a logistic map is introduced to automatically tune the parameters of the feedback channel. The stability and superiority of the proposed controller are theoretically analyzed. Compared with the classical ADRC method, the multimode vibration experimental results demonstrate that the control performance of the first mode is improved from 12.04 to 14.06 dB; meanwhile, the performance of the second mode is also improved, having changed from 11.1 to 13.68 dB.

A Novel Actuator Controller: Delivering a Practical Solution to Realization of Active-Truss-Based Morphing Wings

“…Among these studies, other limitations arise. Some methods require the derivatives of measured outputs [19], [32], which make the estimation sensitive to noises or modeling errors; Some rank conditions apply to unknown inputs in the work of [33], [34], and [35]; The complexity of parameter selection rises due to the less restrictive conditions on unknown inputs [20], [22], [35]- [37]; In [38], [39] the state observer gain is constrained by the estimation scheme of unknown inputs, and limited design freedom is given to unknown-input estimation as well. As a counterpart of design in the state space, the disturbance observer (DOB) synthesized in the frequency domain relies on a customized low-pass filter and the inversion of plant dynamics [40]- [43].…”

Generalized‐Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures

“…In the framework of DR control, Han [59] and Gao [60] developed an active disturbance rejection control (ADRC) for single-input singleoutput systems. Based on acceleration compensation, Li et al [61,62] applied ADRC to piezoelectric multimode vibration control for stiffened plate with chaos optimization method and Smith Predictor technology, which were both verified experimentally. On the other hand, Müller and Lückel [63] proposed and developed a DR control with proportionalintegral (PI) observer for multi-input multioutput systems.…”

Improved ADRC for a Maglev Planar Motor with a Concentric Winding Structure

“…In Figure 3a, pref is the given position vector; Wref is the needed force and torque on each degree of freedom; iref is the needed current in each of the 16 windings; W is the generated forces and torques on the six degrees of freedom; s is the disturbance on each degree of freedom; and p is the displacement vector of the planar motor. ADRC is an advanced new non-linear control technology developed in recent years based on the nonlinear PID control [23][24][25]. ADRC mainly consists of a tracking differentiator (TD), extended state observer (ESO), and nonlinear states error feedback (NLSEF).…”

“…To realize the position parameter adjusting, this paper adopts the second-order ADRC controller shown in Figure 3b. ADRC is an advanced new non-linear control technology developed in recent years based on the nonlinear PID control [23][24][25]. ADRC mainly consists of a tracking differentiator (TD), extended state observer (ESO), and nonlinear states error feedback (NLSEF).…”