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Square-root B-spline modeling and controller design for dynamic 3D PDF

Dynamic modeling and controller design for three dimensional (3D) output probability density function (PDF) are studied in this paper. The construction of 3D square-root model and the conditions it should meet under the nature constraint are analyzed firstly. Then based on 3D B-spline basis function, the square-root dynamic model of 3D PDF is set up with output and input data of the system through recursive least square (RLS) algorithm, and a tracking performance index is chosen to design controller based on the 3D square-root dynamic model, at last a dynamic system is constructed for simulation study and the results verify the effectiveness of the presented controller.