Modern Control Theory.
The modern trend in engineering systems is towardgreater complexity, due mainly to the requirements of complex tasks and good accuracy.
Complex systems may have multiple inputs and multiple outputs and may be time
varying. Because of the necessity of meeting increasingly stringent requirements on
the performance of control systems, the increase in system complexity, and easy access
to large scale computers, modern control theory, which is a new approach to the analysis
and design of complex control systems, has been developed since around 1960.This
new approach is based on the concept of state. The concept of state by itself is not
new, since it has been in existence for a long time in the field of classical dynamics and
other fields.
Modern Control Theory Versus Conventional Control Theory.
Modern control theory is contrasted with conventional control theory in that the former is applicable
to multiple-input, multiple-output systems, which may be linear or nonlinear,
time invariant or time varying, while the latter is applicable only to linear timeinvariant
single-input, single-output systems. Also, modern control theory is essentially
time-domain approach and frequency domain approach (in certain cases such as
H-infinity control), while conventional control theory is a complex frequency-domain
approach.
Modern Control Theory
* Use of state* Time domain approach* Applicable to MIMO -- linear, nonlinear, time-varying, time-invariant* Both pole placement and eigenstructure assignment shape the response. Eigenstructure assignment is equivalent to changing zeros in a SISO transfer function.Conventional Control Theory* Frequency domain approach* SISO LTI systems only* For multivariate systems with MIMO, needs one-loop-at-a-time design with trial and error.
https://sites.google.com/site/paragpatre/control-theory-nuggets/moderncontroltheoryvsconventionalcontroltheory
Modern Control Engineering
Fifth Edition
Katsuhiko Ogata (pp.29)
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