New criteria for the existence of a switching controller for output signal shaping

Document Type : Research Article

Authors

1 Faculty of Electrical Engineering, K.N. Toosi University of Technology, Seyed-Khandan bridge, Shariati Ave., Tehran, Iran

2 Faculty of Electrical Engineering, K.N. Toosi University of Technology, Seyed-Khandan bridge, Shariati Ave., Tehran, Iran.

Abstract

Although numerous advanced and intelligent controllers have been invented during the last years, classical PID controllers are still of interest to many control engineers and promising candidates for industrial purposes. In this study, the authors study the issue of when a switching controller gains exist to asymptotically track a predefined output profile for second-order linear time-invariant systems. This paper proposes several new criteria to ascertain the existence of the gains of PID controllers so that the output be in predefined values at special times. Since permitted output range is calculated for the nonzero initial values, we can switch between several PID gains in several steps to have a specific variation of output with time. In this way, several desired targets can be achieved without any compromising. It is the main goal of this paper. In fact, a scenario is considered for the output which determines its values in several times and these times generate time intervals over which variable gains are applied to the system. Requirements for tracking can be readily achieved with choosing the output value according to the criteria. It is evaluated by several simulation examples, which demonstrate that the proposed approach works well to obtain PID controller parameters in a guaranteed way.

Keywords

Main Subjects

References

[1] Åström, Karl Johan and Hägglund, Tore, "PID controllers: theory, design, and tuning", Instrument society of America Research Triangle Park, NC, volume 2, (1995).
[2] M. H. Korayem, A. Imanian, H. Tourajizadeh and et al., "A Novel Method for Simultaneous Control of Speed and Torque of the Motors of a Cable Suspended Robot for Tracking Procedure", Scientia Iranica ,20, pp. 1550,1565,(2013).
[3] Mohammad D. Hasankola, Abbas Ehsaniseresht, Majid M.Moghaddam,et al.," Analysis, modeling, manufacturing & control of an elastic actuator for rehabilitation robots", Scientia Iranica,22,pp.1855–1865, (2015).
[4] H Matsuki, T Nishiyama, Y Omori, et al., "Flight test of fault-tolerant flight control system using simple adaptive control with PID controller", Aircraft Engineering and Aerospace Technology, 90, pp. 210–218, (2018).
[5] X Hu, C Li, Y Yu, et al," DESIGN OF UNMANNED SHIP HEADING CONTROLLER BASED ON FCMAC-PID", Academic Journal of Manufacturing Engineering ,16,(2018).
[6] O Khan, CMR Madhuranthakam, P Douglas, at al." Optimized PID controller for an industrial biological fermentation process", Journal of Process Control, 71, pp. 75-89, (2018).
[7] Mohammad Reza Gharib‎, Majid Moavenian, "Synthesis of Robust PID Controller for Controlling a Single Input Single Output System Using Quantitative Feedback Theory Technique", Scientia Iranica ,21, pp. 1,(2014).
[8] Y Wang, Q Jin, R Zhang ," Improved fuzzy PID controller design using predictive functional control structure ", ISA transactions ,71, pp. 354–363, (2017).
[9] K Borgeest, PJ Schneider, "PID, Fuzzy and Model Predictive Control Applied to a Practical Nonlinear Plant", International Journal of Robotics Applications and Technologies (IJRAT), 4, pp. 19-42, (2016).
[10] K Lu, W Zhou, G Zeng, et al, " Design of PID controller based on a self-adaptive state-space predictive functional control using extremal optimization method", Journal of the Franklin Institute, 355, pp. 2197-2220, (2018).
[11] J Zhang , " Design of a new PID controller using predictive functional control optimization for chamber pressure in a coke furnace", Isa Transactions, 67, pp.208-214, (2017).
[12] SM Attaran, R Yusof, H Selamat , "A novel optimization algorithm based on epsilon constraint-RBF neural network for tuning PID controller in decoupled HVAC system",  Applied Thermal Engineering, 99,pp.613-624, (2016).
[13] A Agrawal, V Goyal, P Mishra , "Adaptive Control of a Nonlinear Surge Tank-Level System Using Neural Network-Based PID Controller ", Applications of Artificial Intelligence Techniques in Engineering, pp. 491-500, (2019).
[14] J Zhao, J Zhong, J Fan, " Position control of a pneumatic muscle actuator using RBF neural network tuned PID controller ", Mathematical Problems in Engineering, 2015, (2015).
[15] L Liu, F Pan, D Xue, " Variable-order fuzzy fractional PID controller ", ISA transactions, 55, pp. 227-233, (2015).
[16] M. Shahrokhi, "Comparison of Four Adaptive PID Controllers", Scientia Iranica", 7, (2000).
[17] Saranya, M and Pamela, D, "A real time IMC tuned PID controller for DC motor", International Journal of Recent Technology and Engineering, 1, pp. 65–70, (2012).
[18] Erenoglu, Isin and Eksin, Ibrahim and Yesil, Engin and Guzelkaya, Mujde, "An intelligent hybrid fuzzy PID controller", European Conference on Modelling and Simulation, pp. 62–67, (2006).
[19] Mohammad Haeri, "Tuning rules for the PID controller using A DMC strategy", Asian Journal of Control, Vol. 4, No. 4, pp. 410-417, December 2002.
[20] Furkan Nur Deniz, Baris Baykant Alagoz, Nusret Tan, "PID controller design based on second order model approximation by using stability boundary locus fitting", 2015 9th International Conference on Electrical and Electronics Engineering (ELECO).   
AUT Journal of Modeling and Simulation
Volume 52, Issue 1
June 2020
Pages 89-96

Files

Share

How to cite

Statistics