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Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?

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Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?

(a) Controllability

(b) Observability

(c) Differentiability

(d) Adaptability

The question was asked in an interview for internship.

I want to ask this question from State Variable Analysis in section Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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Right option is (b) Observability

The explanation: Observability and controllability are the two methods to check the output response characteristics and observability in control engineering implies an ability to measure the state by taking measurements at output.

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