In this paper, we proposed a method to attain a high sensitivity of weak optical signal detection by using the multi-wavelength modulation principle. In this method, the optical phase carrying the measurand is obtaine...
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In this paper, we proposed a method to attain a high sensitivity of weak optical signal detection by using the multi-wavelength modulation principle. In this method, the optical phase carrying the measurand is obtained by averaging the phases obtained in various orders of heterodyne harmonics. The employment of higher heterodyne harmonics reduces the drift effect in optical detection. The proposed method is demonstrated on the nano-scale displacement measurement by using a single channel fiber interferometer. In the experiment, the displacement is simulated by moving a mirror with a piezoelectric tube. The results show that more repeatable measurements with a resolution of 35nm can be obtained by using the proposed method.
This paper proposes an improved active homodyne detection technique to compensate for the drift in homodyne measurement. The technique is implemented on a fiber based Michelson interferometer where a computer controll...
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This paper proposes an improved active homodyne detection technique to compensate for the drift in homodyne measurement. The technique is implemented on a fiber based Michelson interferometer where a computer controller is designed to drive a piezoelectric cylinder attached to one arm of the interferometer. It is shown that the proposed technique can efficiently stabilize the interferometric output.
In this paper, we study robust stability of a class of switched linear systems (SLSs) that is composed of a finite number of linear continuous variable systems (CVSs) and the switchings of CVSs are predefined and repr...
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In this paper, we study robust stability of a class of switched linear systems (SLSs) that is composed of a finite number of linear continuous variable systems (CVSs) and the switchings of CVSs are predefined and repr...
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In this paper, we study robust stability of a class of switched linear systems (SLSs) that is composed of a finite number of linear continuous variable systems (CVSs) and the switchings of CVSs are predefined and represented by a finite state machine. Each CVS consists of a cluster of unstable matrices, which are simultaneously block-triangularizable. This type of SLSs cannot be addressed by existing results. A decomposition method is used to decompose the original system into several lower dimensional SLSs at the diagonal block positions. Our results show that the original higher dimensional SLS is asymptotically stable if all these lower dimensional SLSs are asymptotically stable. The synergy between the continuous of each lower dimensional SLSs and the discrete dynamics is fully utilized by the cycle analysis method to derive sufficient conditions on the robust stability of each lower dimensional SLS. With our method, all CVSs in a cycle instead of each individual CVS is taken as an analysis unit. The condition on the stability of SLSs can then be relaxed in the sense that Lyapunov functions are only required to be non-increasing along each type of cycle instead of each CVS.
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