Flexible piezoelectric structures-approximate motion equations and control algorithms

• Published in: IEEE transactions on automatic control Vol. 42; no. 1; pp. 94 - 101
• Main Authors: Bona, B., Indri, M., Tornambe, A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.1997; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Force control; Integral equations; Kinematics; Lagrangian functions; Material storage; Motion control; Piezoelectric actuators; Piezoelectric materials; Polynomials; Shape control; Linear system; Piezoelectric sensor; Equation of motion; Flexible structure; Control system; Distributed control; Numerical simulation; System synthesis; Dynamic model; Invarying system; Algorithm
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/9.553691

Continuous-time and discrete-time algorithms are proposed to control a thin piezoelectric structure which can be described by means of approximate linear time-invariant dynamic models. Generalized coordinates are introduced to approximately represent the kinematics of the structure in a polynomial form; the approximate motion equations are determined by the application of the integral Hamilton principle in the Lagrangian form. The proposed control laws are designed on the basis of the obtained continuous-time and discrete-time approximate dynamic models; they guarantee the gravity force compensation, the noninteracting control of the generalized coordinates, and the asymptotic tracking of reference signals. Simulation results confirming the theoretical effectiveness of the algorithms are reported in the paper.