Advanced D-Partitioning Stability Analysis in the 3-Dimentional Parameter Space

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This paper contributes for the further advancement of the method of D-partitioning for stability analysis of control systems with three simultaneously variable parameters. The proposed research is a continuation and further development of the already published author’s work on the advancement of the method of the D-partitioning, applicable for systems with one and two simultaneously variable parameters. The current research explores the effects of the system’s uncertainties by determining graphically spaces of stability in the three-dimensional space of the system’s parameters. The interaction between the varying parameters brings a new light in the graphical solution of the problem of stability. The suggested novel stability analysis tool proved to be very essential and useful for analysis and design of robust control systems.
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Multivariable Parameters; Stability Analysis Tool; D-Partitioning; Interaction; Spaces of Stability

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