Optimal pole shifting for continuous multivariable linear systems
| Autor: | M. H. Amin |
|---|---|
| Rok vydání: | 1985 |
| Předmět: |
Complex conjugate
Property (programming) MathematicsofComputing_NUMERICALANALYSIS Computer Science Applications Algebraic Riccati equation symbols.namesake Quadratic equation Control and Systems Engineering Control theory Feature (computer vision) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols Riccati equation Pole shift hypothesis Lyapunov equation Mathematics |
| Zdroj: | International Journal of Control. 41:701-707 |
| ISSN: | 1366-5820 0020-7179 |
| DOI: | 10.1080/0020718508961157 |
| Popis: | A method for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is presented. The method is based on the mirror-image property which has been reported by Molinari. In other words, Molinari's results are extended and then a recursive approach is developed. In each step of this approach, it is required to solve a first-order or a second-order linear matrix Lyapunov equation for shifting one real pole or two complex conjugate poles respectively. The presented method yields a solution which is optimal with respect to a quadratic performance index. The attractive feature of this method is that it enables solutions to complex problems to be easily found without solving any non-linear algebraic Riccati equation. |
| Databáze: | OpenAIRE |
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