Development of multivariable PID controller gains in presence of measurement noise

References

• Abramovitch, D.Y., Storrs, H., & Workman, R. (2009). Semi‐automatic tuning of PID gains for atomic force microscopes. Asian Journal of Control, 11(2), 188–195.
   Web of Science ®Google Scholar
• Almodaresi, E., Bozorg, M., & Taghirad, H.D. (2016). Stability domains of the delay and PID coefficients for general time-delay systems. International Journal of Control, 89(4), 783–792.
   Web of Science ®Google Scholar
• Åström, K.J., Hägglund, T., Hang, C.C., & Ho, W.K. (1993). Automatic tuning and adaptation for PID controllers – a survey. Control Engineering Practice, 1(4), 699–714.
   Google Scholar
• Campestrini, L., Eckhard, D., Chía, L.A., & Boeira, E. (2016). Unbiased MIMO VRFT with application to process control. J. of Process Control, 39, 35–49.
   Web of Science ®Google Scholar
• Cao, Y., & Chen, X.B. (2013). An output-tracking-based discrete PID-sliding mode control for MIMO systems. IEEE/ASME Transaction on Mechatronics, 99, 1–12.
   Google Scholar
• Chang, P.H., & Jung, J.H. (2009). A systematic method for gain selection of robust PID control for nonlinear plants of second-order controller canonical form. IEEE Transaction on Control System Technology, 17(2), 473–483.
   Web of Science ®Google Scholar
• Cominos, P., & Munro, N. (2002). PID controllers: recent tuning methods and design to specification. IEE Proceeding Control Theory and Applications, 149(1), 56–53.
   Web of Science ®Google Scholar
• Formentin, S., Savaresi, S., & del Re, L. (2012). Non-iterative direct data-driven controller tuning for multivariable systems: theory and application. IET Control Theory and Applications, 6, 1250–1257.
   Web of Science ®Google Scholar
• Garpinger, O., & Hägglund, T. (2015). Software-based optimal PID design with robustness and noise sensitivity constraints. Journal Process Control, 25(9), 90–101.
   Web of Science ®Google Scholar
• Garpinger, O., Hägglund, T., & Åström, K.J. (2014). Performance and robustness trade-offs in PID control. Journal of Process Control, 24(5), 568–577.
   Web of Science ®Google Scholar
• Gundes, A.N., & Ozguler, A.B. (2007). PID stabilization of MIMO plants. IEEE Transaction Automation Control, 52(8), 1502–1508.
   Web of Science ®Google Scholar
• Guo, J., Liu, Y., & Tao, G. (2009). Multivariable MRAC with state feedback for output tracking. In the Proceeding of the American Control Conference, 592–597. Riverfront, St. Louis, MO.
   Google Scholar
• Huba, M. (2015). Filter choice for an effective measurement noise attenuation in PI and PID controllers. In the Proceeding of the IEEE International Conferences on Mechatronics, 46–51.
   Google Scholar
• Isaksson, A.J., & Graebe, S.F. (2002). Derivative filter is an integral part of PID design. IEE Proceeding, Control Theory and Appllication, 149, 41–45.
   Web of Science ®Google Scholar
• Kallakuri, P., Keel, L.H., & Bhattacharyya, S.P. (2013). Multivariable controller design with integrity. In the Proceeding American Control Conference, 5159–5164.
   Google Scholar
• Kristiansson, B., & Lennartson, B. (2006). Evaluation and simple tuning of PID controllers with high-frequency robustness. Journal of Process Control, 16, 91–103.
   Web of Science ®Google Scholar
• Larsson, P.-O., & Hägglund, T. (2011). Control signal constraints and filter order selection for PI and PID controllers. In the Proceeding of the American Control Conference, 4994–4999.
   Google Scholar
• Lee, Y., Shin, D., & Chung, C.C. (2012). PID controller with feedforward low pass filters for permanent magnet stepper motors control. In the Proceeding of the 12th International Conference Automation and System, 1597–1600.
   Google Scholar
• Mendoza, M., Zavala-Río, A., Santibáñez, V., & Reyes, F. (2015). A generalised PID-type control scheme with simple tuning for the global regulation of robot manipulators with constrained inputs. International Journal. of Contro, 88(10), 1995–2012.
   Web of Science ®Google Scholar
• Micic, A.D., & Matausek, M.R. (2014). Optimization of PID controller with higher-order noise filter, Journal of Process Control, 24(5), 694–700.
   Web of Science ®Google Scholar
• Miskovic, L., Karimi, A., Bonvin, D., & Gevers, M. (2007). Correlation-based tuning of decoupling multivariable controllers. Automatica, 43, 1481–1494.
   Web of Science ®Google Scholar
• Orrante-Sakanassi, J., Santibánez, V., & Hernández-Guzmán, V.M. (2014). New tuning conditions for a class of nonlinear PID global regulators of robot manipulators. International Journal of Control, 87(4), 728–741.
   Web of Science ®Google Scholar
• Reynoso-Meza, G., García-Nieto, S., Sanchis, J., & Blasco, F.X. (2013). Controller tuning by means of multi-objective optimization algorithms: A global tuning framework. IEEE Transaction on Control System Technology, 21(2), 445–458.
   Web of Science ®Google Scholar
• Saab, S., & Toukhtarian, R. (2015). A MIMO sampling rate dependent controller. IEEE Transactional Ind. Electronic, 62(6), 3662–3671.
   Web of Science ®Google Scholar
• Saab, S.S. (2016). A Stochastic PID Controller for a Class of MIMO Systems. International Journal of Control, doi: 10.1080/00207179.2016.1183176.
   Web of Science ®Google Scholar
• Segovia, V.R., Hägglund, T., & Åström, K.J. (2014). Measurement noise filtering for PID controllers. Journal of Process Control, 24(4), 299–313.
   Web of Science ®Google Scholar
• Sekara, T.B., & Matausek, M. (2009). Optimization of PID controller based on maximization of the proportional gain under constraints on robustness and sensitivity to measurement noise. IEEE Transaction Automation Control, 54(1), 184–189.
   Web of Science ®Google Scholar
• Skogestad, S. (2006). Tuning for smooth PID control with acceptable disturbance rejection. Ind. and Engineering Chemistry Research, 45, 7817–7822.
   Web of Science ®Google Scholar
• Souza, F.O., et al. (2016). LMI design method for networked-based PID control. Int. Journal of Control, Accepted author version posted online: 29 Jan.
   Web of Science ®Google Scholar
• Srivastava, S., & Pandit, V.S. (2016). A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins. Journal of Process Control, 37, 70–77.
   Web of Science ®Google Scholar
• Tan, K.K., Huang, S., Liang, W., Mamun, A.A., Koh, E.K., & Zhou, H. (2012). Development of a Spherical Air Bearing Positioning System. IEEE Transaction Ind. Electronic, 59(9), 3501–3509.
   Web of Science ®Google Scholar
• Tang, Q., Wang, X., Yang, Q. (2014). Line-of-sight stabilization control based on a fuzzy PID controller and Kalman filter. Control Engineering and Electronics Engineering, 95, 33–40.
   Google Scholar
• Theorin, A., & Hägglund, T. (2015). Derivative backoff: The other saturation problem for PID controllers. Journal of Process Control, 33, 155–160.
   Web of Science ®Google Scholar
• Van Heusden, K., Dumont, G.A., Soltesz, K., Petersen, C.L., Umedaly, A., West, N., & Ansermino, J.M. (2014). Design, and clinical evaluation of robust PID control of propofol Anesthesia in children. IEEE Transaction on Control System Technology, 22(2), 491–501.
   Web of Science ®Google Scholar
• Wang, W.S.W., Davison, D.E., & Davison, E.J. (2013). Controller design for multivariable linear time-invariant unknown systems. IEEE Transactions on Automatic Control, 58(9), 2292–2306.
   Web of Science ®Google Scholar
• Zhong, J., & Li, L. (2015). Tuning fractional-order PIλDμ controllers for a solid-core magnetic bearing system. IEEE Transactions on Control System Technology, 23(4), 1648–1656.
   Web of Science ®Google Scholar
• Zitek, P., Fiser, J., & Vyhlidal, T. (2013). Dimensional analysis approach to dominant three-pole placement in delayed PID control loops. Journal of Process Control, 23, 1063–1074.
   Web of Science ®Google Scholar