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On the bilinear transformation of LQG-balanced realizations

✍ 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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✦ 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.


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