Object-Oriented Toolbox for Distributed Parameter Control Design With Applicationto JSF

摘要

We have developed the core functionality for an object-oriented toolbox formodeling, control design and analysis of distributed parameter systems. The toolbox is based on PDESolve, our C++ class library for simulating partial differential equation (PDE) systems. The capabilities developed are: (1) High-level specification and analysis of the PDE control problem; (2) Calculation of basic system matrices using a finite-element approximation of PDE control problems; (3) Interface with MATLAB providing access to MATLAB functionality from within the control toolbox; (4) Simulation of open and closed-loop response; and (5) Model reduction at the PDE level using a modal basis. We have successfully demonstrated the toolbox on the LQR control of plate vibration using a distributed actuator. This problem takes about 0.5 man-days to solve using the toolbox whereas it is estimated that it will take at least a man-month to solve it by modifying a conventional finite-element code.