Can you design a single controller able to regulate the complete plant G(s) (single feedback loop)?

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We could do it with at least four lead controllers, but we would have oscillations and most of all, need a physically impossible big gain

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We could do it with a lag controller, but we would have oscillations and most of all, need a physically impossible big gain

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We could do it with at least four lead controllers and obtain a very good control system

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We could do it with at least four lag controllers, but we would have oscillations and most of all, need a physically impossible big gain

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We could do it with at least four lag controllers and obtain a very good control system

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We could do it with a PID controller, but we would have oscillations and most of all, need a physically impossible big gain

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We could do it with a PID controller, and obtain a very good control system

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We could do it with a lead controller, but we would have oscillations and most of all, need a physically impossible big gain

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It is impossible to ever stabilize a plant that has four integrators

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