TC3 Modeling, Estimation, and Control of Infinite Dimensional Systems (invited)

Organized by: Demetriou M., Worcester Polytechnic Institute, USA

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Modelling and Control of a Thin Piezo-actuated Structure

Authors:

Bisegna P., Universita di Roma "Tor Vergata", Italy

Caruso G., Universita di Roma "Tor Vergata", Italy

Galeani S., Universita di Roma "Tor Vergata", Italy

Menini L. - Universita di Roma "Tor Vergata", Italy

Del Vescovo D., Universita di Roma "La Sapienza", Italy

ABSTRACT

Vibration damping for a thin piezoactuated cantilever plate is pursued through either purely passive or purely active control. The design is carried out by using suitable reduced order models of the coupled electro-mechanical structure. Simulation results are presented in order to evaluate the proposed control laws.

Key Words Vibration damping, piezoelectric finite-elements, LQG control.

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Optimal Actuator Guidance Scheme for a 2-D Thermal Manufacturing Processing

Authors:

Demetriou M., Worcester Polytechnic Institute, USA

Vayena O., Tufts University, USA

Doumanidis H., Tufts University, USA

ABSTRACT

This article addresses the need for optimal actuation in distributed-parameter systems dominated by conductive heat transfer,such as in thermal processing of materials.An LQR-based approach is developed,which determines the optimal location and the power of the actuator at successive time periods,by piece-wise minimization of the quadratic performance indices corresponding to theses subintervals.This algorithm is applied to a finite dimensional representation of the temperature state and heat input distributions,yielding a suboptimal but computationally efficient heat source guidance strategy.This is shown to warrant superior temperature tracking performance over fixed —location actuation,by FEA simulations.

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Existence and Uniqueness of Solutions to a Nonlinear Nonlocal Second Order Initial-Boundary Value Problem

Authors:

Ackleh A., University of Louisiana at Lafayette, USA,

Aizicovici S., Ohio University, USA

Demetriou M., Worcester Polytechnic Institute, USA

Reich S., Technion-Israel Inst. of Technology, Israel

ABSTRACT

In this short note we announce an existence and uniqueness result for solutions to a class of second order distributed parameter systems with sudden changes in the input term. Such systems are often encountered in exible structures and structure- uid interaction systems that utilize smart actuators.

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Degenerate Hopf Bifurcation to Multiple Regenerative Chatter

Authors:

Fofana M., Worcester Polytechnic Institute, USA

ABSTRACT

This paper deals with the application of in…nite-dimensional delay dynami-cal systems in the study of multiple regenerative chatter machining. Bifurcation equations describing the dynamics when linearized stability is lost have been derived. Two cases are considered. First, when Hopf’s conditions hold, and second when one of them is violated.

Key Words. Regenerative chatter, degenerate bifurcation, delay di¤erential equations.

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