Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4976027 | Journal of the Franklin Institute | 2007 | 16 Pages |
Abstract
For finite-dimensional linear systems, the Youla-Kucera parameterization (YKP) with a Q parameter over RHâ is assumed to satisfy the Diophantine identity. However, the stability is guaranteed if the Diophantine equation is the “U(RHâ)“ equality, but not if it is the “identity” equality. However, Vidyasagar's structure with an H parameter over U(RHâ) is an observer-controller configuration that satisfies the Diophantine equation. This study discusses the deficiency of the Diophantine identity; expands the YKP using an H parameter over U(RHâ), and expands the Vidyasagar's structure using a Qv parameter over RHâ so that both of the expanded parameterizations satisfy the Diophantine equation and are equivalent for all stabilizing compensators. Moreover, an equation that relates to Q, Qv, and H will be introduced to establish relationships among the YKP, Vidyasagar's structure and both expanded parameterizations.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Yuan-Yong Huang, An-Chen Lee,