H-infinity controller with graphical LMI region profile for liquid slosh suppression
Mohd Zaidi Mohd Tumari, A. Shamsul Rahimi A. Subki, Mohd Shahrieel Mohd Aras, Mohammad 'Afif Kasno, Mohd Ashraf Ahmad, Mohd Helmi Suid
This paper presents a H-infinity synthesis with pole clustering based on LMI region schemes for liquid slosh control. Using LMI approach, the regional pole placement known as LMI region combined with design objective in H-infinity controller guarantee a fast input tracking capability and very minimal liquid slosh. A graphical profile of the transient response of liquid slosh suppression system with respect to pole placement is very useful in giving more flexibility to the researcher in choosing a specific LMI region. With the purpose to confirm the design of control scheme, a liquid slosh model is considered to represent the lateral slosh movement. Supremacy of the proposed approach is shown by comparing the results with hybrid model-free fuzzy-PID controller with derivative filter. The performance of the control schemes is examined in terms of time response specifications of lateral tank tracking capability and level of liquid slosh reduction.