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Model Predictive Control of Hydraulic Drive Unit Considering Input Delay
  • Kailei Liu,
  • Hongbin Qiang,
  • Shaopeng Kang
Kailei Liu
Jiangsu University of Technology

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Hongbin Qiang
Jiangsu University of Technology
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Shaopeng Kang
Jiangsu University of Technology
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Abstract

Hydraulic drive unit (HDU) is a typical actuator, but the characteristic of input delay hinders the application of many advanced control methods in HDU. Firstly, in this paper, a mathematical model of HDU with input delay is established and the parameters are identified. Then, aiming at the input delay problem in HDU, a Smith estimated compensation model predictive control (SECMPC) strategy is proposed. On the one hand, the input delay state equation is employed to be a mathematical pattern for the state observation and predictive model. However, the combination between model predictive control (MPC) and Smith estimated compensation (SEC) is realized, the system state at k+d (d is the time delay coefficient) time is estimated in advance at k time to compensate the delay of the state. And then the prediction model based on input delay state equation is used for model prediction and rolling optimization. Thus the delay system which is unstable is promoted to a stable system without delay, and the effectiveness of SECMPC is proved with the HDU experiment and simulation. The SECMPC have some guiding significance for the control of systems with input delay.
20 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
21 Apr 2021Submission Checks Completed
21 Apr 2021Assigned to Editor
25 Apr 2021Reviewer(s) Assigned
10 May 2021Review(s) Completed, Editorial Evaluation Pending
29 May 2021Editorial Decision: Revise Minor
18 Jun 20211st Revision Received
18 Jun 2021Submission Checks Completed
18 Jun 2021Assigned to Editor
05 Jul 2021Reviewer(s) Assigned
12 Jul 2021Review(s) Completed, Editorial Evaluation Pending
30 Jul 2021Editorial Decision: Revise Minor
20 Aug 20212nd Revision Received
20 Aug 2021Submission Checks Completed
20 Aug 2021Assigned to Editor
25 Aug 2021Reviewer(s) Assigned
28 Aug 2021Review(s) Completed, Editorial Evaluation Pending
08 Sep 2021Editorial Decision: Accept
10 Dec 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7918