References
- Alcántara, S., Vilanova, R., & Pedret, C. (2013). PID control in terms of robustness/performance and servo/regulator trade-offs: A unifying approach to balanced autotuning. Journal of Process Control, 23(4), 527–542.
- Ang, K.H., Chong, G., & Li, Y. (2005). PID control system analysis, design, and technology. IEEE Transaction Control Systems Technology, 13(4), 559–576.
- Åström, K.J., & Hägglund, T. (2001). The future of PID control. Control Engineering Practice, 9(11), 1163–1175.
- Chen, Y., Petras, I., & Xue, D. (2009). Fractional order control – A tutorial. In K.A. Hoo (Ed.) Proceedings of the American Control Conference (pp. 1397–1411). St. Louise, MO: IEEE.
- Chiasson, J. (1995). Modeling and high performance control of electric machines. Hoboken, NJ: Wiley.
- Choi, Y., Chung, W.K., & Suh, I.H. (2001). Performance and H∞ optimality of PID trajectory tracking controller for Lagrangian systems. IEEE Transactions on Robotics and Automation, 17(6), 857–869.
- Doyle, J.C., Francis, B.A., & Tannenbaum, A.R. (1992). Feedback control theory. New York, NY: MacMillan.
- Garrido, J., Vazquez, F., & Morilla, F. (2016). Multivariable PID control by decoupling. International Journal of Systems Science, 47(5), 1054–1072.
- Gryazina, E.N., & Polyak, B.T. (2006). Stability regions in the parameter space: D-decomposition revisited. Automatica, 42, 13–26.
- Gu, K., Niculescu, S.I., & Chen, J. (2005). On stability crossing curves for general systems with two delays. Journal of Mathematical Analysis and Applications, 311, 231–253.
- Han, J. (2009). From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, 56(3), 900–906.
- Ho, W.K., Hong, Y., Hansson, A., Hjalmarsson, H., & Deng, J.W. (2003). Relay auto-tuning of PID controllers using iterative feedback tuning. Automatica, 39, 149–157.
- Jeng, J.C. (2014). A one-step tuning method for PID controllers with robustness specification using plant step-response data. Chemical Engineering Research and Design, 92(3), 545–558.
- Kelly, R. (1995). A tuning procedure for stable PID control of robot manipulators. Robotica, 13(2), 141–148.
- Lee, J.Y., Jin, M., & Chang, P.H. (2014). Variable PID gain tuning method using backstepping control with time-delay estimation and nonlinear damping. IEEE Transactions on Industrial Electronics, 61(12), 6975–6985.
- Löfberg, J. (2004). YALMIP: A toolbox for modeling and optimization in MATLAB. In M. Sebek (Ed.) Proceedings of the IEEE International Symposium on Computer-Aided Control System Design (pp. 284–289). Taipei: IEEE.
- Merrikh-Bayat, F., Mirebrahimi, N., & Khalili, M.R. (2015). Discrete-time fractional-order PID controller: Definition, tuning, digital realization and some applications. International Journal of Control, Automation and Systems, 13(1), 81–90.
- Michiels, W., & Niculescu, S.I. (2014). Stability, control and computation for time-delay systems. An eigenvalue based approach. Philadelphia, PA: SIAM.
- Morarescu, I.C., Méndez-Barrios, C.F., Niculescu, S.I., & Gu, K. (2011). Stability crossing boundaries and fragility characterization of PID controllers for SISO systems with I/O delays. In R.A. Shoureshi (Ed.) Proceedings of the American Control Conference (pp. 4988–4993). San Francisco, CA: AACC.
- Nise, N.S. (2015). Control systems engineering (7th ed.). Hoboken, NJ: Wiley.
- O’Dwyer, A. (2009). Handbook of PI and PID controller tuning rules (Vol. 57, 3rd ed.). London: Imperial College Press.
- Orrante-Sakanassi, J., Santibánez, V., & Hernández-Guzmán, V.M. (2014). A new tuning procedure for nonlinear PID global regulators with bounded torques for rigid robots. Robotica, 33(9), 1926–1947.
- O’Sullivan, T.M., Bingham, C.M., & Schofield, N. (2007). Enhanced servo-control performance of dual-mass systems. IEEE Transactions on Industrial Electronics, 54(3), 1387–1399.
- Ou, L., Zhou, P., Zhang, W., & Yu, L. (2011). H∞ robust design of PID controllers for arbitrary-order LTI systems with time delay. In E.K.P. Chong (Ed.)Proceedings of the IEEE Conference Decision and Control and European Control Conference (pp. 1884–1889). Orlando, FL: IEEE.
- Parada, M., Sbarbaro, D., Borges, R.A., & Peres, P.L.D. (2017). Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties. International Journal of Systems Science, 48(1), 95–106.
- Park, J., & Chung, W. (2000). Design of a robust H∞ PID control for industrial manipulators. Journal of Dynamic Systems, Measurement, and Control, 122(4), 803–812.
- Podlubny, I. (1999). Fractional-order systems and PIλ Dμ – controllers. IEEE Transactions on Automatic Control, 44(1), 208–214.
- Raibert, M.H. (1978). Manipulator control using the configuration space method. Industrial Robot: An International Journal, 5(2), 69–73.
- Rout, R., & Subudhi, B. (2017). Inverse optimal self-tuning PID control design for an autonomous underwater vehicle. International Journal of Systems Science, 48(2), 367–375.
- Saeki, M. (2007). Properties of stabilizing PID gain set in parameter space. IEEE Transactions on Automatic Control, 52(9), 1710–1715.
- Sariyildiz, E., Yu, H., & Ohnishi, K. (2015). A practical tuning method for the robust PID controller with velocity feed-back. Machines, 3, 208–222.
- Sommer, S., & Kienle, A. (2012). Auto-tuning of multivariable PID controllers using iterative feedback tuning. Automatisierungstechnik, 60, 20–27.
- Su, Y., & Zheng, C. (2017). PID control for global finite-time regulation of robotic manipulators. International Journal of Systems Science, 48(3), 547–558.
- Tan, W., Liu, J., Chen, T., & Marquez, H.J. (2006). Comparison of some well-known PID tuning formulas. Computers & Chemical Engineering, 30(9), 1416–1423.
- Visioli, A. (2006). Practical PID control. London: Springer.
- Zhang, G. (2000). Speed control of two-inertia system by PI/PID control. IEEE Transactions on Industrial Electronics, 47(3), 603–609.
- Zhou, K., & Doyle, J.C. (1998). Essentials of robust control. Englewood Cliffs, NJ: Prentice Hall.
- Ziegler, J.G., & Nichols, N.B. (1942). Optimum settings for automatic controllers. Transaction ASME, 64(8), 759–768.