Is a strictly causal positive PIDz (digital proportional, "integral" and "derivative") controller (plus unit negative feedback) able to control your plant?

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No, the controller C(z) would be too expensive

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No, the controller C(z) would need to supply outputs physically impossible for this system

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Yes, for the adequate placement and gain, this controller is able to obtain an automatic control system T(z) stable, precise enough and with both acceptable response speed and small enough (or zero) oscillations

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No, the controller C(z) would be unstable

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The control system is not perfect but is the best I could find, so I have to accept it

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Partially, the complete control system T(z) is stable but precision is bad

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Partially, the complete control system T(z) is stable and precise to step, but the system is too oscillatory (or with too much overshoot)

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No, the controller C(z) would be noncausal

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No, the controller C(z) would be absolutely unstable

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No, the stability range for the complete control system T(z) is too narrow, unattainable in real life

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No, the resulting control system T(z) would be unstable for every gain

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No, the resulting control system T(z) would be noncausal

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Partially, the complete control system T(z) is stable and precise to step, but the system is too slow (and oscillatory)

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Is a strictly causal positive PIDz (digital proportional, "integral" and "deriva...

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