Abstract

This article develops a generalization of Wohnam's Geometric Theory of Linear Multivariable Control (Wohnam, 1979) by introducing a fuzzy subspace formulation into the conventional theory. This generalization allows for treatment, within a convenient mathematical framework, of inescapable issues in systems analysis and design such as: vagueness or imprecision in control restrictions, disturbance description and design objectives. We furnish an appropiate fuzzy geometric basis for the restatement and solution development of problems treated by the conventional Geometric theory for the control of linear multivariable systems.

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