Stability and Control of Linear Systems by Andrea Bacciotti

Author:Andrea Bacciotti
Language: eng
Format: epub, pdf
ISBN: 9783030024055
Publisher: Springer International Publishing

The Eq. (5.31) can be obtained from (5.30) setting . It can be therefore interpreted as a subsystem: it is called the controllable part of the overall system (in the figure above, it is denoted by ). Notice that the evolution of the component of the state in (5.30) does not depend at all on the action of the input function. It represents the uncontrollable part of the system (in the figure above, it is denoted by ).

The form (5.30) reveals the structure of the system, and in particular it allows us to separate and recognize the controllable and uncontrollable parts.

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