Interpolative-Type Control Solutions for a "Ball and Beam" System

Abstract

Controllers with interpolative blocks can replace fuzzy controllers in control structures. This is possible because fuzzy controllers belong also to the interpolative-type controller category, meaning controllers which implements interpolative-type reasoning. That kind of replacement is not only a formal operation, it is also associated with further corrections that confer to the structures with interpolative controllers enough flexibility to obtain better performances. The possibility of performances improvement is the main argument of the present paper. Another argument is the reduced calculus time, suited for the real-time implementation - it's about "lookup table" type solutions. In order to illustrate the above affirmations, a case study is developed in the paper. The controlled plant is an electromechanical one: ball and beam system, driven by the torque applied in the rotational joint. The model used for the system is a 4th order one. Given the system complexity, two structural solutions are proposed (TPS-4 -a structure with feedback from all four states- and TPS-2 -a structure with feedback from only two states-), both of them being tested - from the robustness point of view - at changes in system parameters. The case study is conceived also in order to underline the differences between them.
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