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###### A Comparison between Integer and Fractional Order PD μ Controllers for Vibration Suppression

will always be kept at 0. The measured structural displacement is given to the controller, which computes the control signal u ( t ) which is the control force for the actuator. The controller will treat any excitation as a disturbance, continuously trying to reject it. In the subsequent paragraphs, the disturbance d in Fig. 1 will be considered as an impulse disturbance. Fig. 1 Active vibration attenuation in a smart beam. 3.1 Description of the practical stand and model identification The experimental setup has been entirely developed at

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###### Perfect phase-coded pulse trains generated by Talbot effect

identification with a sequence t of length q , referred to as the Talbot sequence. This also permits the restriction of p to values within the range 0 < p < 2 q , or within the non-zero residues mod 2 q , Z 2 q × . $\begin{array}{} \displaystyle 2q,\, \mathbb{Z}_{2q}^\times. \end{array}$ The following results lead to the solution of the Gauss sum as a DFT pair. Theorem 3 [ 31 ] Given two positive and coprime integers , p and q , with 0 < p < 2 q , there exists a unique positive integer s , in the range 0 < s < 2 q , such that : s is

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###### The Triaxiality Role in the Spin-Orbit Dynamics of a Rigid Body

classical arrow and spoke types at particular frequencies. See figure 10 for a geometric view of this instance. Fig. 10 Special relative equilibria of the body-inclined type. As a final remark, we would like to point out that, a complete identification of the classical families of relative equilibria involves the use of a complete set of charts, which cover the case in which the axis b 3 is allowed to be the spin-axis. 6 Conclusions and future work An intermediary model has been presented considering the triaxial version of the one

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