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    <subfield code="a">Optimization of slosh suppression system through data-driven state feedback controller /</subfield>
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    <subfield code="a">The nature of the slosh motion phenomenon has commonly been found in various  engineering applications. The phenomenon is present due to an oscillation liquid motion  form in an open free-space container. For some events, the sloshing may cause functionality  issues to the overall system due to the existence of unrestrained movement from the massive  motion. It leads to overall system failure and eventually may give some changes to the  dynamic system structure. Moreover, the slosh system is categorized as a nonlinear  underactuated system. It is well-known for its complexities and controlling the system would  be considered challenging. It is impossible to construct a global model, and the unmodelled  system would make the model-based control approach difficult to apply. Thus, there is a  growing interest in proposing objectives for constructing a suitable feedback controller  design and developing a data-driven control algorithm to achieve stability. To reduce the  dependency of the practical use on the mathematical model system in control theory as in  model-based control, the data-driven control approach has demonstrated a promising result  over the past few years. The general view of the data-driven control framework is to obtain  the optimal solution of the controller&#x2019;s parameter by only using the recorded input and output  data system without any mathematical model system. The advantages of the closed-loop  control are considered in the state feedback controller that promotes robustness and  simplicity of the control structure. The implementation of the state feedback controller only  would produce a large steady-state error. Hence, an integral term is added to eliminate such  a signal. The state feedback controller with an integral term closed-loop control system is  considered a control law action to be implemented and partial linearization is used to  linearize the nonlinear system into a linear state space representation. Then, the linear system  is discretized to be evaluated in the data-driven control approach. By performing a one-shot  experiment, the initial input-output data is generated, recorded, and properly rearranged to  be utilized to solve the control problem based on the Data-driven Linear Matrix Inequality  (LMI), Data-driven Pole Placement, and Fictitious Reference Iterative Tuning-Particle  Swarm Optimization (FRIT-PSO) to compute the control problem. The comparative  assessment is investigated between the selected model-based control approaches and the  proposed data-driven control approaches based on the numerical example of the state&#x2019;s time  response performance and performance evaluation assessment value of Integral Square  Error (ISE), Integral Absolute Error (IAE), and Integral Time-weighted Absolute Error  (ITAE). The analysis is carried out and evaluated using MATLAB Simulink software.  Without any explicit mathematical dynamic system, the system performance after being tuned by data-driven LMI indicates a comparable response to model-based LMI control. The  performance based on data-driven LMI generates values of 2.2365 ISE, 1.6654 IAE, and  2.9008 ITAE are smaller than model-based LMI and showcase an average improvement of  6.78%. Furthermore, the control problem based on Data-driven Pole Placement and FRITPSO improved the performance system and exhibited identical responses as the desired  system. Data-driven pole placement has produced the values of 0.0038 ISE, 0.08 IAE, and  0.1806 ITAE with an average improvement of 3.31% compared to Model-based Pole  Placement. Meanwhile, the FRIT-PSO produced values of 0.0039 ISE, 0.0844 IAE, and  0.1886 ITAE with an 11.96% average improvement compared to Model-based LQR-LMI.  The results clarify that the data-driven control approaches are effective in repositioning the  partially filled liquid container to its intended position following the desired responses while  simultaneously maintaining the slosh angular motion at a minimum angle.</subfield>
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