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The desired estimator parameters can be obtained by solving coupled backward recursive Riccati difference equations (RDEs).

The FDOFS controller can be obtained by solving the linear matrix inequality (LMI) problem.

An H-infinite robust PID controller can be obtained by solving a linear matrix inequality.

Moreover, the desired controller gains can be obtained by solving a set of LMI.

Finally, the current maglev vehicle and bridge response can be obtained by solving the vibration equation.

An approximation of the original signal can be obtained by solving the modified problem: (4).

Then can be obtained by solving following maximization through linear programming, (A5).

The maximum deformation (x_{m}) can be obtained by solving equation (9).

According to Eldar Yonina [28], Gop can be obtained by solving the following optimization problem: (60).

Moreover, the error feedback matrix can be obtained by solving a set of linear matrix inequalities.

Moreover, the minimum attenuation level bound can be obtained by solving a convex optimization problem.

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