Phase control of fiber optic ESPI using fuzzy PID controller

We propose an efficient phase stabilization/shifting technique for the use in fiber-optic ESPI system by using a Fuzzy PID controller. To obtain required phase steps between the CCD captured speckle patterns, we implemented a Fuzzy-logic-based PID controller which is known as more suitable for nonlinear, time-delayed, and vague systems. Phase steps with a quarter-wave phase difference, which are required for four phase step methods, are continuously generated by a closed-loop switching and a synchronization signal. From the experimental results, the Fuzzy controller system has shown the faster and more accurate phase stabilization and continuously generated the four phase shifting in the presence of ambient temperature drift and vibration.

[1]  Giuseppe Martini,et al.  Automatic phase stepping in fiber-optic ESPI by closed-loop gain switching , 2000, IEEE Trans. Instrum. Meas..

[2]  C K Hong,et al.  Least-squares fitting of the phase map obtained in phase-shifting electronic speckle pattern interferometry. , 1995, Optics letters.

[3]  J. D. R. Valera,et al.  Fibre optic electronic speckle pattern interferometry: path length stabilised automatic phase stepping , 1991 .

[4]  Y. Ishii,et al.  Phase-extraction algorithm in laser-diode phase-shifting interferometry. , 1995, Optics letters.

[5]  Wei-Chung Wang,et al.  Vibration measurement by the time-averaged electronic speckle pattern interferometry methods. , 1996, Applied optics.

[6]  C. Fuller,et al.  Piezoelectric Actuators for Distributed Vibration Excitation of Thin Plates , 1991 .

[7]  Silvano Donati,et al.  Speckle-pattern intensity and phase: Second-order conditional statistics , 1979 .

[8]  D. Williams,et al.  Digital phase stepping speckle interferometry , 1986 .

[9]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[10]  G. Beheim,et al.  Fiber optic phase stepping system for interferometry. , 1991, Applied optics.

[11]  John R. Tyrer,et al.  Application of ESPI to three-dimensional vibration measurements , 1991 .

[12]  J. Goodman Statistical Properties of Laser Speckle Patterns , 1963 .

[13]  Ryszard J. Pryputniewicz Static and dynamic measurements using electro-optic holography , 1991, SPIE Optics + Photonics.

[14]  E. P. Eernisse Variational Method for Electroelastic Vibration Analysis , 1967, IEEE Transactions on Sonics and Ultrasonics.