12. Optimum control
The control problem can be solved in two different ways: pole placement, studied in paragraph 9.3, and optimal control, which consists in finding u that minimizes a certain functional. Depending on the choice of functional, there are several optimal control problems.
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Iterative Learning Control (ILC) consists in making y as neighborly as possible to a given function f. This leads to the minimization problem min u ││y – f ││.
Since y = Cx, this problem is implicitly equivalent to solving the system of linear equations: Cx = f, i.e. C T Cx = C T f.
In general, this system is ill-conditioned, and a small variation in the data f can lead to a large variation in...
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Optimum control
Effects of finite precision
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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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