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

Abstract

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.

Model-Free State Feedback Controller Tuning for A Liquid Slosh Suppression System

“…The parameters of nonlinear dynamical system of ( 1) and (2) adopted from [2] were listed in Table 1.…”

“…Various techniques of the slosh suppression control system can be found in the literatures. Most of the presented approaches implemented a feedback control or closed-loop control which is less sensitive to disturbance and variation parameters [2]. For instance in [3], the authors implemented Sliding Mode Control with Sliding Mode Observer which was introduced for a slosh-free motion through PID scheme in which the main function of the SMO is for the state estimation.…”

“…In [6][7][8], the authors designed the fuzzy logic controllers to optimize the system based on the prior knowledge of the plants to estimate the rule table and memberships function. On the other hand in [2,9], H-infinity strategy has been used in the work to optimize the controlled system subject to defined constraints.…”

Modeling and adaptive robust wavelet control for a liquid container system under slosh and uncertainty

“…These methods include PI/PID control, [8][9][10][11] H-infinity control, 12 sliding mode control, [13][14][15] predictive controller, 16 active force control, 17 genetic algorithm, 18 control the robot end-effector movement by using Lyapunov-based feedback controllers 19 and variable gain by using super-twisting algorithm. 20 There also exist a passive control methods which tried to smooth the liquid's sloshing without direct measurements of the sloshing state such as intermittent air-bubble injection method, 21 inverse dynamic control technique by generating a computer model to estimate the modes of oscillation of the liquid in the container system, 22 guidance, navigation, and control (GNC) algorithm commands thruster firings to counter the fluid slosh forces 21 and a shallow-depth sloshing absorber.…”

“…These methods include PI/PID control, 8–11 H-infinity control, 12 sliding mode control, 13–15 predictive controller, 16 active force control, 17 genetic algorithm, 18 control the robot end-effector movement by using Lyapunov-based feedback controllers 19 and variable gain by using super-twisting algorithm. 20…”