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The tracking solver we propose is defined by sliding mode control theory so that the numerical time history of the solution traces exact values. If one of the initial solutions is provided, the solver calculates all solutions as parameters change from initial to final. The solver solves linear or nonlinear equations. Here we apply it to controller design based on several control design strategies, i.e., direct pole placement, optimal control, and phase adjustment. These control design methods mainly determine control feedback gain ane other parameters required for closed-loop behavior of the system. Because this solver obtains gain and parameters as the final condition is selected, control is easier to design. We effectively tuned the controller of an active magnetic bearing using this solver.

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Booktitle: Proceedings of ISMB10