Approximation Theory and Computational Methods for the Identification and Control of Distributed Parameter Systems
Final rept. 1 Nov 1990-31 Oct 1993
UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF MATHEMATICS
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A brief overview and summary of the research carried out in the area of approximation theory and computational methods for the identification and control of distributed parameter systems is provided. In particular, this final report details our efforts during the period 1 November 1990-31 October, 1993 on projects involving the adaptive control and estimation, ana on-line identification of distributed parameter systems including a collaborative experimental-effort with Air Force personnel at Phillips Laboratory at Edwards Air Force Base, the identification and control of degenerate distributed parameter systems, Multi-grid methods for the solution of optimal LQR control problems for infinite dimensional systems, wavelet based approximation in the optimal LQ control of distributed parameter systems, the identification of nonlinear Volterra equations with application to materials with memory, the LQ control of linear and nonlinear distributed parameter systems with infinite spatial domain, and optimal control and estimation of thermoelastic systems with applications to thermo-acoustic refrigeration. Approximation control, Identification distributed parameter systems.
- Numerical Mathematics