Computation and Control III

The third Conference on Computation and Control was held at Mon­ tana State University in Bozeman, Montana from August 5-11, 1992 and this proceedings represents the evolution that the conference has taken since its 1988 and 1990 predecessors. The first conference and proceedings (Volume 1 in PSCT) nurtured a dialogue between researchers in control theory and the area of numerical computation. This cross-fertilization was continued with the 1990 conference and proceedings (Volume 11 in PSCT) while forecasting the theme for this conference. The present volume contains a collection of papers addressing issues ranging from noise abatement via smart material technology, robotic vi­ sion, and parameter identification to feedback design challenges in fluid control and other areas of topical interest. The area of feedback design in fluid control spawns computational challenges in the form of Burgers' equation which is addressed both with standard numerical methods as well as new computational procedures. Applications which involve inverse prob­ lems include material parameter estimation and sampling in observability. Whether motivated by the plant or arising as the distributed system in the design of a feedback compensator for problems in nonlinear control, the theme of this conference placed an emphasis on the use of partial dif­ ferential equations in control theory. Through challenges initiated via the control problem or the subsequent computational problem, the joint efforts of experts from the respective disciplines enhance the development of both.

Contenu

Theoretical and Computational Aspects of Feedback in Structural Systems with Piezoceramic Controllers.- Modeling and Approximation of a Coupled 3-D Structural Acoustics Problem.- Parameter Identification in the Frequency Domain.- On Model Identification of Gaussian Reciprocal Processes from the Eigenstructure of Their Covariances.- An Inverse Problem in Thermal Imaging.- Optimal Fixed-Finite-Dimensional Compensator for Burgers' Equation with Unbounded Input/Output Operators.- Boundary Control and Stabilization for a Viscous Burgers' Equation.- A Sinc-Galerkin Method for Convection Dominated Transport.- Discrete Observability of the Wave Equation on Bounded Domains in Euclidean Space.- A New Algorithm for Nonlinear Filtering.- Continuation Methods for Nonlinear Eigenvalue Problems via a Sinc-Galerkin Scheme.- On the Kalman-Yacubovich-Popov Lemma for Nonlinear Systems.- Robust Control of Distributed Parameter Systems with Structured Uncertainty.- On the Phase Portrait of the Karmarkar's Flow.- The Reduced Basis Method in Control Problems.- Numerical Treatment of Oscillating Integrals Appearing in Heat Conduction Problems.- Root Locus for Control Systems with Completely Separated Boundary Conditions.- On the Problem of Parameter Identification in Perspective Systems and its Application to Motion Estimation Problems in Computer Vision.- Over-Regularization of Ill-Posed Problems.- A Model for the Optimal Control of a Measles Epidemic.- Condition Numbers for the Sinc Matrices Associated with Discretizing the Second-Order Differential Operator.- Computational Models for Lattice Structures.- The Partial Differential Equations of Controlled Invariance.- What is the Distance Between Two Autoregressive Systems?.- Sinc Convolution Approximate Solution of Burgers' Equation.- Sinc-Galerkin Collocation Method for Parabolic Equations in Finite Space-Time Regions.- A Modified Levenberg-Marquardt Algorithm for Large-Scale Inverse Problems.- A Local Sampling Scheme for Invariant Evolution Equations on a Compact Symmetric Space, Especially the Sphere.- Hasse Diagram and Dynamic Feedback of Linear Systems.- Point Placement for Observation of the Heat Equation on the Sphere.