the IMC structure to represent the best possible controller
that is achievable. Holt used the IMC concept as a framework
to measure controllability, and also found the effects
of nonminimum phase elements, input saturation, and model
plant mismatch on controllability.15,16 Skogestad and Morari
used the RGA as a framework to measure the effect of
uncertainty for linear systems.22 For a perfectly controlled
process, the controller must be the inverse of the process
transfer function. However, the physical realizability of such
a controller is limited and dynamic resilience may be used
to generate an index that measures the attainability of perfect
control or the limits on the physical realization of the perfect
controller.
The effect of RHP zeros on the controllability of chemical
processes has been studied by Holt, based on the IMC
framework.16 RHP zeros become unstable poles in the
inverse of the process transfer function, and therefore, render
the ideal controller unstable. Also, RHP zeros exhibit inverse
response behavior. Even if they do not exhibit an inverse
response, they provide a challenge for control engineers. The
effect of the location of RHP zeros on the controllability of
chemical processes is similar for SISO and MIMO linear
systems. The severity of control deterioration increases with
the IMC structure to represent the best possible controller
that is achievable. Holt used the IMC concept as a framework
to measure controllability, and also found the effects
of nonminimum phase elements, input saturation, and model
plant mismatch on controllability.15,16 Skogestad and Morari
used the RGA as a framework to measure the effect of
uncertainty for linear systems.22 For a perfectly controlled
process, the controller must be the inverse of the process
transfer function. However, the physical realizability of such
a controller is limited and dynamic resilience may be used
to generate an index that measures the attainability of perfect
control or the limits on the physical realization of the perfect
controller.
The effect of RHP zeros on the controllability of chemical
processes has been studied by Holt, based on the IMC
framework.16 RHP zeros become unstable poles in the
inverse of the process transfer function, and therefore, render
the ideal controller unstable. Also, RHP zeros exhibit inverse
response behavior. Even if they do not exhibit an inverse
response, they provide a challenge for control engineers. The
effect of the location of RHP zeros on the controllability of
chemical processes is similar for SISO and MIMO linear
systems. The severity of control deterioration increases with
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