A Synthesis of Electronically Controllable Current-Mode PI, PD and PID Controllers Employing CCCDBAs

ABSTRACT

This paper presents a synthesis of current-mode PI, PD and PID controllers employing current controlled current differential buffer amplifiers (CCCDBAs). The features of these controllers are that: the output parameters can be electronically/independently controlled by adjusting corresponding bias currents in the proportional, integral, and deviation controllers; circuit description of the PID controller is simply formulated, it consists of four CCCDBAs cooperating with two grounded capacitors, and PI and PD controllers are composed of three CCCCDBAs and a grounded capacitor. Without any external resistor, the proposed circuits are very suitable to develop into integrated circuit architecture. The given results from the PSpice simulation agree well with the theoretical anticipation. The approximate power consumption in a closed loop control system consisting of the PI, PD and PID controller with low-pass filter passive plant are 4.03 mW, 4.85 mW and 5.71 mW, respectively, at ±1.5 V power supply voltages.

This paper presents a synthesis of current-mode PI, PD and PID controllers employing current controlled current differential buffer amplifiers (CCCDBAs). The features of these controllers are that: the output parameters can be electronically/independently controlled by adjusting corresponding bias currents in the proportional, integral, and deviation controllers; circuit description of the PID controller is simply formulated, it consists of four CCCDBAs cooperating with two grounded capacitors, and PI and PD controllers are composed of three CCCCDBAs and a grounded capacitor. Without any external resistor, the proposed circuits are very suitable to develop into integrated circuit architecture. The given results from the PSpice simulation agree well with the theoretical anticipation. The approximate power consumption in a closed loop control system consisting of the PI, PD and PID controller with low-pass filter passive plant are 4.03 mW, 4.85 mW and 5.71 mW, respectively, at ±1.5 V power supply voltages.

Cite this paper

Srisakultiew, S. and Siripruchyanun, M. (2013) A Synthesis of Electronically Controllable Current-Mode PI, PD and PID Controllers Employing CCCDBAs.*Circuits and Systems*, **4**, 287-292. doi: 10.4236/cs.2013.43039.

Srisakultiew, S. and Siripruchyanun, M. (2013) A Synthesis of Electronically Controllable Current-Mode PI, PD and PID Controllers Employing CCCDBAs.

References

[1] A. J. Michael and H. M. Mohammad, “PID Control New Identification and Design Methods,” Springer, Berlin, 2005.

[2] S. Franco, “Design with Operational Amplifiers and Analog Integrated Circuits,” McGraw-Hill, New York, 1997.

[3] B. C. Kuo, “Automatic Control System,” Prentice-Hall, Upper Saddle River, 1997.

[4] “Designing Ultrafast Loop Response with Type-III Compensation for Current Mode Step-Down Converters,” Ap. Note SLVA352, Texas Instrument, 2010. http://focus.ti.com/lit/an/slva352/slva352.pdf

[5] C. Edral, A. Toker and C. Acar, “OTA-C Based Proportional-Integral-Derivative (PID) Controller and Calculating Optimum Parameter Tolerances,” Turkish Journal of Electrical Engineering and Computer Sciences, Vol. 9, No. 2, 2001, pp. 189-198.

[6] S. Srisakultiew, S. Lawanwisut and M. Siripruchyanun, “A Synthesis of Electronically Controllable Current-Mode PI, PD and PID Controllers Employing OTAs,” The Proceeding of 10th International Prince of Songkla University (PSU) Engineering Conference, Songkhla, 14-15 May 2012.

[7] E. Cevat, “A New Current-Feedback-Amplifiers (CFAs) Based Proportional-Integral-Derivative (PID) Controller Realization and Calculating Optimum Parameter Tolerances,” Pakistan Journal of Applied Sciences, Vol. 2, No. 1, 2002, pp. 56-59. doi:10.3923/jas.2002.56.59

[8] S. Srisakultiew, S. Lawanwisut and M. Siripruchyanun, “A Synthesis of Current-Mode PI, PD and PID Controllers Employing CFAs,” The Proceeding of 51th Kasetsart University Annual Conference, Bangkok, February 2013, pp. 144-151.

[9] S. Minaei, E. Yuce, S. Tokat and O. Cicekoglu, “Simple Realization of Current-Mode and Voltage-Mode PID, PI and PD Controllers,” Proceedings of the IEEE International Symposium on Industrial Electronics, Dubrovnik, 20-23 June 2005, pp. 195-198.

[10] E. Cevat, A. Toker and C. Acar, “A New ProportionalIntegral-Derivative (PID) Controller Realization by Using Current Conveyor and Calculating Optimum Parameter Tolerances,” Journal of Electrical and Electronics, Vol. 1, 2001, pp. 267-273.

[11] J. A. Svoboda, “Current Conveyors, Operational Amplifiers and Nullors,” IEE Proceedings, Vol. 136, No. 6, 1989, pp. 317-322.

[12] S. Minaei, E. Yuce, S. Takat and O. Cicekoglu, “Simple Realizations of Current-Mode and Voltage-Mode PID, PI and PD Controller,” Proceeding of the IEEE International Symposium on Industrial Electronics, Vol. 1, 2005, pp. 195-198.

[13] V. Srikul, S. Srisakultiew and M. Siripruchyanun, “A Synthesis of Current-Mode PI, PD and PID Controllers Employing CCIIs,” Proceeding of Electrical Engineering Network 2012 of Rajamangala University of Technology, Nong Khai, April 2012, pp. 513-516.

[14] C. Erdal, H. Kuntman and S. Kafali, “A Current Controlled Conveyor Based Proportional-Integral-Derivative (PID) Controller,” Journal of Electrical & Electronics Engineering, Vol. 4, No. 2, 2004, pp. 1248-1248.

[15] W. Naksup, V. Kiranon, J. Vongdektum and V. Sangpisit, “PID, PI and PD Controllers Based on CCCII,” Proceeding of 31st Electrical Engineering Conference, Nakhonnayok, 2009, pp. 927-930.

[16] S. Srisakultiew and M. Siripruchyanun, “A Synthesis of Current-Mode PID Controller Using CCCIIs,” The Proceeding of 3rd National Conference on Technical Education, 2010, pp. 63-68.

[17] A. U. Keskin, “Design of a PID Controller Circuit Employing CDBAs,” International Journal of Engineering Education, Vol. 43, No.1, 2006, pp. 48-56. doi:10.7227/IJEEE.43.1.5

[18] C. Acar and S. Ozoguz, “A New Versatile Building Block: Current Differ-Encing Buffered Amplifier Suitable for Analog Signal Processing Filters,” Microelectronics Journal, Vol. 30, No. 2, 1999, pp. 157-160. doi:10.1016/S0026-2692(98)00102-5

[19] S. Ozoguz, A. Toker and C. Acar, “Current-Mode Continuous-Time Fully-Integrated Universal Filter Using CDBAs,” Electronics Letters, Vol. 35, No. 2, 1999, pp. 97-98. doi:10.1049/el:19990118

[20] S. Maheshwari and I. A. Khan, “Current-Controlled Current Differencing Buffered Amplifier: Implementation and Applications,” Active and Passive Electronic Components, Vol. 27, No. 4, 2004, pp. 219-227. doi:10.1080/08827510310001648924

[21] C. Toumazou, F. J. Lidgey and D. G. Haigh, “Analog IC Design: The Current Approach,” Peter Peregrinus, London, 1990.

[22] D. R. Frey, “Log-Domain Filtering: An Approach to Current-Mode Filtering,” IEE Proceeding Circuit Devices System, Vol. 140, No. 6, 1993, pp. 406-416.

[1] A. J. Michael and H. M. Mohammad, “PID Control New Identification and Design Methods,” Springer, Berlin, 2005.

[2] S. Franco, “Design with Operational Amplifiers and Analog Integrated Circuits,” McGraw-Hill, New York, 1997.

[3] B. C. Kuo, “Automatic Control System,” Prentice-Hall, Upper Saddle River, 1997.

[4] “Designing Ultrafast Loop Response with Type-III Compensation for Current Mode Step-Down Converters,” Ap. Note SLVA352, Texas Instrument, 2010. http://focus.ti.com/lit/an/slva352/slva352.pdf

[5] C. Edral, A. Toker and C. Acar, “OTA-C Based Proportional-Integral-Derivative (PID) Controller and Calculating Optimum Parameter Tolerances,” Turkish Journal of Electrical Engineering and Computer Sciences, Vol. 9, No. 2, 2001, pp. 189-198.

[6] S. Srisakultiew, S. Lawanwisut and M. Siripruchyanun, “A Synthesis of Electronically Controllable Current-Mode PI, PD and PID Controllers Employing OTAs,” The Proceeding of 10th International Prince of Songkla University (PSU) Engineering Conference, Songkhla, 14-15 May 2012.

[7] E. Cevat, “A New Current-Feedback-Amplifiers (CFAs) Based Proportional-Integral-Derivative (PID) Controller Realization and Calculating Optimum Parameter Tolerances,” Pakistan Journal of Applied Sciences, Vol. 2, No. 1, 2002, pp. 56-59. doi:10.3923/jas.2002.56.59

[8] S. Srisakultiew, S. Lawanwisut and M. Siripruchyanun, “A Synthesis of Current-Mode PI, PD and PID Controllers Employing CFAs,” The Proceeding of 51th Kasetsart University Annual Conference, Bangkok, February 2013, pp. 144-151.

[9] S. Minaei, E. Yuce, S. Tokat and O. Cicekoglu, “Simple Realization of Current-Mode and Voltage-Mode PID, PI and PD Controllers,” Proceedings of the IEEE International Symposium on Industrial Electronics, Dubrovnik, 20-23 June 2005, pp. 195-198.

[10] E. Cevat, A. Toker and C. Acar, “A New ProportionalIntegral-Derivative (PID) Controller Realization by Using Current Conveyor and Calculating Optimum Parameter Tolerances,” Journal of Electrical and Electronics, Vol. 1, 2001, pp. 267-273.

[11] J. A. Svoboda, “Current Conveyors, Operational Amplifiers and Nullors,” IEE Proceedings, Vol. 136, No. 6, 1989, pp. 317-322.

[12] S. Minaei, E. Yuce, S. Takat and O. Cicekoglu, “Simple Realizations of Current-Mode and Voltage-Mode PID, PI and PD Controller,” Proceeding of the IEEE International Symposium on Industrial Electronics, Vol. 1, 2005, pp. 195-198.

[13] V. Srikul, S. Srisakultiew and M. Siripruchyanun, “A Synthesis of Current-Mode PI, PD and PID Controllers Employing CCIIs,” Proceeding of Electrical Engineering Network 2012 of Rajamangala University of Technology, Nong Khai, April 2012, pp. 513-516.

[14] C. Erdal, H. Kuntman and S. Kafali, “A Current Controlled Conveyor Based Proportional-Integral-Derivative (PID) Controller,” Journal of Electrical & Electronics Engineering, Vol. 4, No. 2, 2004, pp. 1248-1248.

[15] W. Naksup, V. Kiranon, J. Vongdektum and V. Sangpisit, “PID, PI and PD Controllers Based on CCCII,” Proceeding of 31st Electrical Engineering Conference, Nakhonnayok, 2009, pp. 927-930.

[16] S. Srisakultiew and M. Siripruchyanun, “A Synthesis of Current-Mode PID Controller Using CCCIIs,” The Proceeding of 3rd National Conference on Technical Education, 2010, pp. 63-68.

[17] A. U. Keskin, “Design of a PID Controller Circuit Employing CDBAs,” International Journal of Engineering Education, Vol. 43, No.1, 2006, pp. 48-56. doi:10.7227/IJEEE.43.1.5

[18] C. Acar and S. Ozoguz, “A New Versatile Building Block: Current Differ-Encing Buffered Amplifier Suitable for Analog Signal Processing Filters,” Microelectronics Journal, Vol. 30, No. 2, 1999, pp. 157-160. doi:10.1016/S0026-2692(98)00102-5

[19] S. Ozoguz, A. Toker and C. Acar, “Current-Mode Continuous-Time Fully-Integrated Universal Filter Using CDBAs,” Electronics Letters, Vol. 35, No. 2, 1999, pp. 97-98. doi:10.1049/el:19990118

[20] S. Maheshwari and I. A. Khan, “Current-Controlled Current Differencing Buffered Amplifier: Implementation and Applications,” Active and Passive Electronic Components, Vol. 27, No. 4, 2004, pp. 219-227. doi:10.1080/08827510310001648924

[21] C. Toumazou, F. J. Lidgey and D. G. Haigh, “Analog IC Design: The Current Approach,” Peter Peregrinus, London, 1990.

[22] D. R. Frey, “Log-Domain Filtering: An Approach to Current-Mode Filtering,” IEE Proceeding Circuit Devices System, Vol. 140, No. 6, 1993, pp. 406-416.