A model-free PID tuning to slosh control using simultaneous perturbation stochastic approximation

This paper addresses an initial study of a model-free PID tuning based on simultaneous perturbation stochastic approximation (SPSA) for liquid slosh control. The SPSA method is used to optimize the PID parameters such that the liquid slosh is minimized. In order to validate our model-free design, a liquid slosh model is considered to represent the lateral slosh motion. The simulation results demonstrate that the proposed model-free method has a good potential in reducing the liquid slosh without explicitly modeling the liquid slosh behavior.

[1]  Mustafa Arafa,et al.  Design and optimization of input shapers for liquid slosh suppression , 2009 .

[2]  H. Sira-Ramirez A flatness based generalized PI control approach to liquid sloshing regulation in a moving container , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[3]  Bo Bernhardsson,et al.  Constrained iterative learning control of liquid slosh in an industrial packaging machine , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[4]  J. Spall Multivariate stochastic approximation using a simultaneous perturbation gradient approximation , 1992 .

[5]  Clark R. Dohrmann,et al.  Control for slosh-free motion of an open container , 1997 .

[6]  Shailaja Kurode,et al.  Sliding Mode Observer Based Sliding Mode Controller for Slosh-Free Motion Through PID Scheme , 2009, IEEE Transactions on Industrial Electronics.

[7]  Ken'ichi Yano,et al.  Sloshing analysis and suppression control of tilting-type automatic pouring machine , 2001 .

[8]  Kun Bai,et al.  Slosh suppression by robust input shaping , 2010, 49th IEEE Conference on Decision and Control (CDC).

[9]  Heinz Wörn,et al.  Using Acceleration Compensation to Reduce Liquid Surface Oscillation During a High Speed Transfer , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[10]  Franklin T. Dodge,et al.  Analytical Representation of Lateral Sloshing by Equivalent Mechanical Models , 1966 .

[11]  Shun-ichi Azuma,et al.  Performance analysis of model-free PID tuning of MIMO systems based on simultaneous perturbation stochastic approximation , 2014, Expert Syst. Appl..

[12]  Shun-ichi Azuma,et al.  A Model-Free Approach for Maximizing Power Production of Wind Farm Using Multi-Resolution Simultaneous Perturbation Stochastic Approximation , 2014 .

[13]  Tankut Acarman,et al.  Rollover prevention for heavy trucks using frequency shaped sliding mode control , 2006 .

[14]  Ken'ichi Yano,et al.  Robust liquid container transfer control for complete sloshing suppression , 2001, IEEE Trans. Control. Syst. Technol..

[15]  Shun-ichi Azuma,et al.  Controller Design for Optimizing Fuel Consumption of Hybrid Electric Vehicles , 2013 .