Feedback representation of precompensators†
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 37 (1), 37-61
- https://doi.org/10.1080/00207178308932956
Abstract
An algebraic theory is developed for the design of internally stable control configurations, which consist of dynamic output feedback, inside-loop precompensation, and outside-loop precompensation. The underlying quantity is an equivalent pro-compensator which relates the given system to the desired system, and which may induce unstable pole-zero cancellations. From this equivalent precompensator, the controllers of the final internally stable control configuration are constructed. The main step in this construction involves a partial-fraction decomposition of matrices. The problem of minimizing the outside-loop precompensator (without affecting the transfer matrix of the final system) is considered. For infective systems, the outside-loop precompensator can be eliminated in almost all cases.Keywords
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