Disturbance Observer and L 2 -Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

Xiangxiang Meng, Haisheng Yu, Tao Xu and Herong Wu
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Xiangxiang Meng: School of Automation, Qingdao University, Qingdao 266071, China
Haisheng Yu: School of Automation, Qingdao University, Qingdao 266071, China
Tao Xu: School of Automation, Qingdao University, Qingdao 266071, China
Herong Wu: School of Automation, Qingdao University, Qingdao 266071, China

Energies, 2020, vol. 13, issue 20, 1-20

Abstract: This paper proposes a fresh state error feedback linearization control method with disturbance observer (DOB) and L 2 gain for a quadruple-tank liquid-level system. Firstly, in terms of the highly nonlinear and strong coupling characteristics of the quadruple-tank system, a state error feedback linearization technique is employed to design the controller to achieve liquid-level position control and tracking control. Secondly, DOB is purposed to estimate uncertain exogenous disturbances and applied to compensation control. Moreover, an L 2 -gain disturbance attenuation technology is designed to resolve one class of disturbance problem by uncertain parameter perturbation existing in the quadruple-tank liquid-level system. Finally, compared with the classical proportion integration differentiation (PID) and sliding mode control (SMC) methods, the extensive experimental results validate that the proposed strategy has good position control, tracking control, and disturbance rejection performances.

Keywords: quadruple-tank liquid-level system; state error; feedback linearization control; position control; tracking control; disturbance observer; L 2 -gain (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
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