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January 1, 1973Proceedings of the Institution of Electrical Engineers3 citations

Relationship between conventional-control-theory figures of merit and quadratic performance index in optimal control theory for a single-input/single-output system

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CHConstantine H. HoupisCCC. T. CONSTANTINIDES

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Abstract

The paper presents a correlation between the figures of merit used in conventional-control-design theory and the elements of the Q matrix in the quadratic performance index that is utilised for an optimal-control-design theory of single-input/single-output systems. This correlation results in a design procedure that utilises a set of curves (Mp, tp, ts and ωd against qnn) for determining the elements of the Q matrix. In addition to the design procedure, the paper presents an analysis of the steady-state error for ramp inputs; the condition that the dominant roots are the same for any nth-order system, whereas the nondominant root for a specified plant is given by s ̃ −K √qnn (under the reproducibility condition defined in the paper) and the necessary conditions for an accurate solution of the Riccati equation.

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Cite This Study

Houpis et al. (1973) studied this question.

synapsesocial.com/papers/6a1c346a5b8f4ede65a9a846https://doi.org/10.1049/piee.1973.0027
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