Abstract

This paper presents an implementation of two radically different control schemes for a state-coupled two-tank liquid-level system. This is due to the purpose of transferring theoretical studies to industrial systems. The proposed schemes to be introduced and compared are the nonsingular terminal sliding mode control (NTSMC) and the backstepping control (BC). The performances of the developed methods are experimentally tested on a particular class of second-order nonlinear systems. The main purpose of the considered control schemes is to achieve a tracking trajectory for a coupled-tank system. It is proved that the designed robust controllers guarantee the stability of the corresponding closed loop systems. The obtained results are verified with the same setup test to ensure a suitable basis for their comparison. During the experiments, we resorted to adding an integrator to the backstepping control so that we improve the results, leading to the appearance of the integrator backstepping control (IBC). To focus on the adequacy and applicability of the suggested control layout, theoretical comparisons as well as experimental results are afforded and debated.

Highlights

  • Liquid-level control systems can be classified as an important process for draining and in several major industries [1]

  • In the few past decades, some researchers have invented the design and the implementation of the liquid level of a coupled-tank system controller such as the ProportionalIntegral-Derivative (PID) type controllers [2], the backstepping controller [3, 4], the nonlinear constrained predictive algorithms based on the feedback linearization control [5], the second-order sliding mode control [6], Constrained Pole Assignment Control (CPAC) [7, 8], and neurofuzzy sliding mode controller (NFSMC) [9]. erefore, industrial process control engineering has immensely benefited from the technology development brought by digital computers and their sophisticated software. us, these advanced technologies have allowed the ability of implementing advanced control algorithms that have been considered as quite complex in their implementation

  • Among the satisfactory controls which prove a good robustness against uncertainties and allow disturbance rejections, we mention the linearization control (LC) [10, 11], the robust control (RC) [12], the model predictive control (MPC) [13, 14], the backstepping control (BC) [15, 16], and the sliding mode control (SMC) [17]. e MPC and the BC have especially been addressed to design robust

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Summary

Introduction

Liquid-level control systems can be classified as an important process for draining and in several major industries [1]. Despite practical control processes have been solved based on the above-mentioned approaches, these techniques require a measured state vector and a precise model. As it is well known, the SMC is an efficient robust control for uncertain systems [26, 27] and bounded external disturbances [27]. We assume that the two sensors are available to measure the liquid levels in the two tanks. e level of h1 will be controlled to follow a reference trajectory

Nonsingular Terminal Sliding Mode Control
Backstepping Control
Comparative Study of the Theoretical Analysis
Results and Discussion
D2 d1 d2 Kp g
Experimental Results
Conclusion and Future Works
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