Analytical and Computational Methods for Nonlinear Feedback Design.
Final rept. 1 Sep 94-30 Aug 97,
WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS
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The lack of a systematic methodology for the design of feedback laws capable of controlling complex dynamical systems has been a limiting factor in several current and emerging DoD missions. The research carried out by the principal investigators in this three year research effort has focused on analyzing and computing the steady-state behavior of controlled complex dynamical systems. One of the fundamental discoveries made during this research effort concerns the steady-state behavior of a dynamical system which provides estimates of the current state. The analysis led to an unanticipated geometric discovery which led to the solution of an outstanding problem in linear systems theory with applications in speech synthesis, voice recognition and signal processing. These advances were supported by computational methods developed in this research effort and which are documented in this final report and in a patent application. Another fundamental discovery made during this research effort was focused on controller design for a class of distributed parameter systems. Our results quantify properties of attractors and the steady-state behavior of solutions. The principal investigating team also discovered results concerning the asymptotic behavior of linear distributed parameter systems undergoing harmonic, or periodic, forcing.
- Voice Communications
- Operations Research