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 system's response to a given test disturbance. The index of performance is the integral of a 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 tr— order system contains n I'll weighting factors whose values are determined from an n-~- order model system. This determination is such that the optimization of a completely free system will yield 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. The author wishes to thank Dr. Harold A. Titus for his guidance in this investigation.
Naval Postgraduate school
Naval Postgraduate School
Ph.D. in Electrical Engineering
Dept. of Electrical Engineering
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