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7. Model reduction
The purpose of model reduction is to find a realization of dimension k < n. In this case, of course, the transfer function G is not exactly found, but only approximated in some sense. We are therefore looking for an approximation of the rational fraction G by another rational fraction with smaller degrees, which gives this question its name. Model reduction is related to partial realization and Padé approximation. It is very important in practice and implemented when the system is too large to be easily simulated, or when the controller design is too complex or costly. The basic idea behind model reduction is to eliminate states that are poorly controllable and/or observable and therefore have only a limited effect on the system's input-output.
There are many model reduction techniques, each with its own advantages and disadvantages. The choice of technique depends...
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Model reduction
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Software
There are many different types of control software. Many of them are specific to a certain application, a certain field, such as the aerospace industry. Most of them are commercial and therefore not free.
The most widely used software packages are MATLAB → with a large number of toolboxes covering the majority of design, simulation and implementation methods...
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