H-infinity controller with graphical LMI region profile for liquid slosh suppression

Mohd Zaidi Mohd Tumari (Universiti Teknikal Malaysia Melaka)
A. Shamsul Rahimi A. Subki (Universiti Teknikal Malaysia Melaka)
Mohd Shahrieel Mohd Aras (Universiti Teknikal Malaysia Melaka)
Mohammad 'Afif Kasno (Universiti Teknikal Malaysia Melaka)
Mohd Ashraf Ahmad (Universiti Malaysia Pahang)
Mohd Helmi Suid (Universiti Malaysia Pahang)

TELKOMNIKA (Telecommunication Computing Electronics and Control)
Vol 17, No 5: October 2019

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.