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Dimensional properties of optimal and sub-optimal nonlinear control systems

✍ Scribed by A.T. Fuller

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
844 KB
Volume
289
Category
Article
ISSN
0016-0032

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✦ Synopsis

The optimal control signal for saturating or relay control systems is usually a complicated function of several state variables. A sub-optimal control method is to use instead a simpler signal which is a linear combination ojfunotions each of which has only one state variable as argumen,t. Persson has investigated this type of sub-optimal control for plants consisting of a set of pure integrators. In the present paper the theoretical basis of Persson's controller is developed by invoking dimensional considerations.

It is shown that the optimal system has certain types of invariance under changes of scale. Ij a similar property for the sub-optimal system is adopted, the controller design problem can be reduced to the determination of a few parameters.

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