Key Control Assessment for Linear Multivariable Systems.
Final technical rept.,
UNITED TECHNOLOGIES RESEARCH CENTER EAST HARTFORD CONN
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Analytical procedures for a-priori assessment of key control variables in linear multi-input dynamic systems have been developed and evaluated. These procedures results in explicit, quantitative measures of control influence which allow a control designer to assess the relative importance of all control variables prior to actual feedback control design. In this manner the designer can select for dynamic modulation those controls which have the strongest influence on system dynamic response. The approach employed to develop key control assessment methodology is based on a modal interpretation of multivariable system dynamics. This approach is particularly well-suited here since mathematical expressions relating the coupling of each control variable into each mode of the system can be explicitly derived. These mathematical expressions provide important insight into the relationships among output variables, modes, control variables and the quadratic performance index used to generate linear multivariable feedback control. These relationships were used to define quantitative measures of relative control influence for both open-loop and closed-loop control situations.
- Statistics and Probability