Digital System Theory.
Abstract
Research progress on the development of new methods for the design of digital control systems through the use of inverse systems and their signal recovery properties is described. New results in the problem areas of vector-delay inverses and pseudoinverses are reviewed, and a novel inverse system/state observer structure for optimal control of dynamic systems is presented. The research results are applicable to both deterministic and stochastic linear systems described in either the time or frequency domain. A major component of the research is dedicated to the development of efficient algorithms for the software implementation of vector-delay inverses and pseudoinverses. These algorithms provide tests for the existence of such inverses and then proceed to the task of realization. Theoretical studies show that the concept of vector-delay inverses includes all previous research on classical L-delay inverses as special cases. Further, the results on pseudoinverses provide means for recovering all possible unknown system inputs and/or disturbances when neither the classical nor vector-delay inverses exist. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1979
- Accession Number
- ADA065764
Entities
People
- James S. Meditch
Organizations
- University of Washington