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The on-off controller is a _____ system.

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The on-off controller is a _____ system.

(a) Digital

(b) Linear

(c) Non-linear

(d) Discontinuous

I had been asked this question in an interview for internship.

I need to ask this question from Linear Approximation of the Non-Linear System topic in portion Control System and Components of Control Systems

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Right option is (d) Discontinuous

To explain: The on-off controller is discontinuous at the point when the system changes its state from on to off.

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