Model
Digital Document
Publisher
Florida Atlantic University
Description
Until recently, control design techniques for multivariable
systems, such as pole placement or optimal control design,
have been either too complex to be usable, or yielded
designs which were liable to instability if the parameters
of the plant varied from those used in the design. A
technique which uses the singular values of the system
transfer function matrix is now available. This technique
yields control designs which are guaranteed to be robust
with respect to plant parameter variations. This technique,
combined with a novel technique for shaping the frequency
responses of the singular values is used to design a control
system for a gas turbine jet engine. It is shown that
adjusting the crossover frequency of the open loop singular
values affects the closed loop time and frequency response
in the same manner that adjusting the open loop gain affects
the response of a single-input/single-output control system.
systems, such as pole placement or optimal control design,
have been either too complex to be usable, or yielded
designs which were liable to instability if the parameters
of the plant varied from those used in the design. A
technique which uses the singular values of the system
transfer function matrix is now available. This technique
yields control designs which are guaranteed to be robust
with respect to plant parameter variations. This technique,
combined with a novel technique for shaping the frequency
responses of the singular values is used to design a control
system for a gas turbine jet engine. It is shown that
adjusting the crossover frequency of the open loop singular
values affects the closed loop time and frequency response
in the same manner that adjusting the open loop gain affects
the response of a single-input/single-output control system.
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