A Comparative Study Between Cascaded FOPI–FOPD and IOPI–IOPD Controllers Applied to a Level Control Problem in a Coupled Tank System

被引:13
作者
Kar B. [1 ]
Roy P. [1 ]
机构
[1] NIT, Silchar, Silchar
关键词
Cascade control; Coupled tank; Fractional order; Level control; PID;
D O I
10.1007/s40313-018-0373-z
中图分类号
学科分类号
摘要
This paper presents a novel liquid level control of a coupled two tank SISO system. Physical system is modeled from the open loop experimental response in two stages. A cascade control strategy is adopted. Fractional Order Proportional Integral (FOPI) and Fractional Order Proportional Derivative (FOPD) controllers are designed for the outer and inner loop, respectively, using frequency domain method. Similarly, conventional Integer Order Proportional Integral and Integer Order Proportional Derivative controllers are also designed to compare the performances. Reference signal tracking performance is tested with multiple step, ramp and sinusoidal reference signals. Ability of disturbance rejection is tested by adding more water into the tanks through a disturbance input channel. Experimental results reveal that the proposed FOPI–FOPD control scheme outperforms its integer order counterparts both in terms of reference signal tracking and disturbance rejection. © 2018, Brazilian Society for Automatics--SBA.
引用
收藏
页码:340 / 349
页数:9
相关论文
共 20 条
[1]  
Almutairi N., Zribi M., Sliding mode control of coupled tanks, Mechatronics, 16, 1, pp. 427-441, (2006)
[2]  
Bouarroudj N., Boukhetala D., Boudjema F., A hybrid fuzzy fractional order pid sliding-mode controller design using pso algorithm for interconnected nonlinear systems, Journal of Control Engineering and Applied Informatics, 17, pp. 41-51, (2015)
[3]  
Das S., Functional fractional calculus, (2011)
[4]  
Delavari H., Ghaderi R., Ranjbar A., Momani S., Fuzzy fractional order sliding mode controller for nonlinear systems, Communications in Nonlinear Science and Numerical Simulation, 15, pp. 963-978, (2010)
[5]  
Coupled Tanks Control Experiments Manual Model No 33-041S, (2011)
[6]  
Gouta H., Said S., Barhoumi N., Sahli F.M., Observer-based backstepping controller for a state-coupled two-tank system, IETE Journal of Research, 61, pp. 1-10, (2015)
[7]  
Khan M.K., Spurgeon S.K., Robust mimo water level control in interconnected twin-tanks using second order sliding mode control, Control Engineering Practice, 14, pp. 375-386, (2006)
[8]  
Luo Y., Chen Y., Wang C., Pi Y., Tuning fractional order proportional integral controllers for fractional order systems, Journal of Process Control, 10, pp. 823-831, (2010)
[9]  
Machadoa J., Kiryakova V., Mainardi F., Recent history of fractional calculus, Communications in Nonlinear Science and Numerical Simulation, 16, pp. 1140-1153, (2011)
[10]  
Merrikh-Bayat F., Rules for selecting the parameters of oustaloup recursive approximation for the simulation of linear feedback systems containing pi<sup>λ</sup>d<sup>μ</sup> controller, Communications in Nonlinear Science and Numerical Simulation, 17, pp. 1852-1861, (2012)