Affiliations: State Key Lab. of Vibration, Shock & Noise,
Shanghai Jiao Tong University, Shanghai, 200030, People's Republic of
China | Centre for Advanced Materials Technology, School of
Aerospace, Mechanical and Mechatronic Engineering (J07), The University of
Sydney, Sydney, NSW 2006, Australia
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.
Keywords: Vibration control, eigensystem realization algorithm, system identification, finite element method, piezoelectric materials
