Abstract
The characteristics of linear systems with constant inputs which are optimal with respect to an infinite terminal time, quadratic performance index are studied. An especially simple standard form of the algebraic Riccati equation is used to determine relationships between the performance index parameters and the normalized characteristic polynomial of the optimal system. The parameters corresponding to several standard forms of this polynomial are ascertained. Design guidelines are then given which allow the correlation of performance index parameters with the shape of the step function response.
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