Each item below describes key characteristics of a particular system (that is, a plant transfer function) For each system, describe the effect of proportional control on the stability of the closed-loop system. Specifically, 1) what can you say for small gains, and 2) what for large gains? (E.g., stable, unstable, inconclusive.) Provide a short explanation of your answers, with sketches as necessary. (a) (b) Right-half plane pole. (Other poles, zeros unknown.) Four poles, one zero. (c) Right-half plane zero. (Other poles, zeros unknown.) (d) Relative degree one, some unstable poles, all zeros in left-half-plane.

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Each item below describes key characteristics of a particular system (that is, a plant transfer function)
For each system, describe the effect of proportional control on the stability of the closed-loop system.
Specifically, 1) what can you say for small gains, and 2) what for large gains? (E.g., stable, unstable,
inconclusive.) Provide a short explanation of your answers, with sketches as necessary.
(a)
(b)
Right-half plane pole. (Other poles, zeros unknown.)
Four poles, one zero.
(c)
Right-half plane zero. (Other poles, zeros unknown.)
(d)
Relative degree one, some unstable poles, all zeros in left-half-plane.
Transcribed Image Text:Each item below describes key characteristics of a particular system (that is, a plant transfer function) For each system, describe the effect of proportional control on the stability of the closed-loop system. Specifically, 1) what can you say for small gains, and 2) what for large gains? (E.g., stable, unstable, inconclusive.) Provide a short explanation of your answers, with sketches as necessary. (a) (b) Right-half plane pole. (Other poles, zeros unknown.) Four poles, one zero. (c) Right-half plane zero. (Other poles, zeros unknown.) (d) Relative degree one, some unstable poles, all zeros in left-half-plane.
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