Français
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.
-
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...
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Optimum control
Effects of finite precision
References
Recent theses
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...
The Ultimate Scientific and Technical Reference
