Accession Number:

AD0608458

Title:

LINEAR CONTROL SYSTEM OPTIMIZATION USING A MODEL-BASED INDEX OF PERFORMANCE.

Descriptive Note:

Research rept.,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

Report Date:

1964-11-01

Pagination or Media Count:

60.0

Abstract:

This paper deals with a method of optimizing the free coefficients in the characteristic equation of a linear feedback control system. The optimization is carried out by minimizing an index of performance associated with the systems response to a given test disturbance. The index of performance is the integral of quadratic function of the system state variables. The structure of the index rests upon a logical interpretation of the regulator nature of the control problem. The index for an nth order system contains n weighting factors whose values are determined from an nth order model system. This determination is such that the optimization of a completely free system will yeild the model system. A system with fewer than n degrees of freedom in the state variable feedbacks may be optimized with respect to the free feedback coefficients, yielding a system whose dynamic response to a given disturbance is, for this optimization scheme, a best approximation to that of the model. Examples are presented for illustration of the salient features of the method. It is also shown by example that systems with closed-loop zeros may be optimized by this method. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE