Control and Estimation Methods over Communication Networks by Magdi S. Mahmoud

Author:Magdi S. Mahmoud
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(5.40)

where

(5.41)

To determine the gain matrix we extend Theorem 5.2 to yield the following result:

Theorem 5.3

Consider the NCS in Fig. 5.1 and observer scheme (5.2), where f(.) and g(.) are logarithmic quantizers with quantization densities , respectively. Given positive constants , there exists the feedback control rule such that the closed-loop system is asymptotically stable if there exist matrices and any matrices of appropriate dimensions and positive scalars and

(5.42)

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