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• W2037522014 abstract "Abstract The problems of modal control for linear multivariable time-invariant systems incorporating multi-loop single-input proportional controllers are formulated and solved in a manner which is thought to be both novel and potentially useful. For such systems, it is shown that all eigenvalues may be specified exactly provided that the number of loops is equal to the number of state variables and that the usual conditions for controllability are satisfied. A mathematical corollary of this is that, in general, all the eigenvalues of a given matrix may be changed to new specified values by the addition of an appropriate unit rank matrix to the original matrix. Methods are discussed which enable approximate values of prescribed eigenvalues to be obtained in cases where the number of loops falls short of the number of state variables or where a number of state variables are non-measurable. Problems associated with eigenvalue/gain sensitivity and loop failure are also discussed and illustrative examples are provided." @default.
• W2037522014 created "2016-06-24" @default.
• W2037522014 creator A5042615226 @default.
• W2037522014 date "1971-05-01" @default.
• W2037522014 modified "2023-09-30" @default.
• W2037522014 title "On a method of calculation in modal control" @default.
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• W2037522014 doi "https://doi.org/10.1016/0016-0032(71)90072-x" @default.
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