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Open AccessArticle10.1184/r1/6489854

Foundations of linear control via a new geometric paradigm

Thomas R. Kurfess,Mark L. Nagurka,Center., Carnegie Mellon University.Engineering Design Research-2018-06-29-Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)
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TL;DRAbstract

Abstract: "In this report, we reexamine the foundations of classical control theory with reference to eigenvalue geometry via a new set of graphical controls tools, gain plots. These plots depict eigenvalue trajectory as an explicit function of gain. Various classical controlconcepts are generalized in nine theorems and demonstrated in three simple, yet pedagogical, examples."

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Abstract: "In this report, we reexamine the foundations of classical control theory with reference to eigenvalue geometry via a new set of graphical controls tools, gain plots. These plots depict eigenvalue trajectory as an explicit function of gain. Various classical controlconcepts are generalized in nine theorems and demonstrated in three simple, yet pedagogical, examples."

Keywords

Eigenvalues and eigenvectorsTrajectoryControl (management)Set (abstract data type)Simple (philosophy)Function (biology)MathematicsCalculus (dental)

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