Abstract

The objective of this paper is to develop a general design and analysis scheme for actively controlled piezoelectric smart structures. The scheme involves dynamic modeling of a smart structure, designing control laws and closed-loop simulation in a finite element environment. Based on the structure responses determined by finite element method, a modern system identification technique known as Observer/Kalman filter Identification (OKID) technique is used to determine the system Markov parameters. The Eigensystem Realization Algorithm (ERA) is then employed to develop an explicit state space model of the equivalent linear system for control law design. The Linear Quadratic Gaussian (LQG) control law design technique is employed to design a control law. By using ANSYS parametric design language (APDL), the control law is incorporated into the ANSYS finite element model to perform closed loop simulations. Therefore, the control law performance can be evaluated in the context of a finite element environment. Finally, numerical examples have demonstrated the validity and efficiency of the proposed design scheme. Without any further modifications, the design scheme can be readily applied to other complex smart structures.

Highlights

  • Advanced applications, such as large-scale space structures, jet fighters and concept automobiles, have structural requirements including high strength, lightweight, high structural damping and low acoustic noise

  • Under the interaction of structure and control disciplines, a general scheme of analyzing and designing piezoelectric smart structures is successfully developed in this paper

  • By using ANSYS parametric design language (APDL), the resulting control laws are incorporated into transient analysis for evaluation

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Summary

Introduction

Advanced applications, such as large-scale space structures, jet fighters and concept automobiles, have structural requirements including high strength, lightweight, high structural damping and low acoustic noise Attempts at achieving these characteristics have recently stimulated extensive research into smart structures, which have been widely applied in the field of active vibration control of structures. A modern system identification technique is employed to develop an explicit state space model for control law design from the output of a commercial finite element code ANSYS. System identification technique deals with the realization of a model from the experiment results for the purpose of control law design This requires the construction of a minimum order model from the test data that characterizes the dynamics of the system at the selected control and measurement positions. By using APDL, the control law is incorporated into the ANSYS finite element model of the smart structure to perform closed loop simulations. It can be readily applied to large flexible space structures

Finite element model
Identification of the system Markov parameters by OKID approach
Minimum realization by the Eigensystem Realization Algorithm
LQG design
Closed loop simulation in finite element environment
Illustrative example
Conclusions
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