On the bilinear transformation of LQG-balanced realizations
β Scribed by L. Fortuna; G. Muscato; G. Nunnari
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 313 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0005-1098
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β¦ Synopsis
This contribution
shows that some useful properties of LQG-balanced realizations of continuous-time systems are preserved by applying bilinear transformations. This fact suggests that LQG-balancing of discrete systems and its approximation can be performed by using the typical schemes successfully adopted for continuous-time systems. In the paper the approximation of discrete linear time-invariant systems by using the singular perturbation approximation approach for LQG-balanced realizations is analyzed, showing its usefulness in approximating discrete models, including unstable ones, for closed-loop aims. approximation of balanced systems.
π SIMILAR VOLUMES
showed that the semigroup generated by all non-identity idempotent transformations of an infinite set X is the disjoint union of two semigroups, one of which is denoted by H and consists of all balanced transformations of X (that is, all transformations whose defect, shift, and collapse are equal an
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