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A Nonlinear Dynamic Optimization Algorithm of a Novel Energy Efficient Pneumatic Drive System

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  • Control Theory and Applications
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Abstract

A standard pneumatic system is usually controlled by a 5/2 directional control valve in which compressed-air utilization rate is low. To solve the problem, scholars have proposed a bridge pneumatic circuit controlled by four switch valves that uses expansion energy of compressed air to do work. The key to this bridge circuit lies in the accuracy and speed of on-off sequence of the valves. To realize this goal, we study dynamic optimization control of the circuit and establish an optimal valve opening and closing time-sequence control model with a continuous-discrete time differential algebraic equation on the base of the dynamic characteristics of the pneumatic drive system. We use the direct method in modern optimal control theory to solve the problem. Because the model has the characteristics of more equality constraints, lower freedom of variables, and a sparse structure, we use the simplified space sequential quadratic programming algorithm and interior-point methods for computation and analysis so that the process optimization and partial-differential equations are solved simultaneously. To improve the precision and the speed of solving the derivative during the solution-optimization process, the derivative information is obtained with a combination of symbol and numerical automatic differentiation. By analyzing the efficiency of the two algorithms, the interior-point method was proved to be more suitable for use in obtaining the sequence. Finally, the experimental results were realized and showed that our contribution builds a good foundation for the energy-saving research of pneumatic systems.

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Authors and Affiliations

  1. Ship Electromechanical Equipment Institute, Dalian Maritime University, Dalian, 116026, China

    Hongwang Du, Wei Xiong & Wei Liu

Authors
  1. Hongwang Du
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  2. Wei Xiong
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  3. Wei Liu
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Corresponding author

Correspondence to Wei Xiong.

Additional information

This work was supported by the National Natural Science Foundation of China (52075065) and the Fundamental Research Funds for the Central Universities of China (3132019352 and 3132022340). We thank LetPub (www.letpub.com) for providing linguistic assistance during the preparation of this manuscript.

Hongwang Du received his Ph.D. degree in mechanical engineering from Dalian Maritime University of China in 2015. His research interests include nonlinear control, pneumatic technology, and system identification.

Wei Xiong received his Ph.D. degree in mechanical engineering from Harbin Institute of Technology of China in 2001. His research interests include nonlinear control, fluid transmission, and control.

Wei Liu received her Bachelor’s degree in mechanical engineering from Dalian University in 2019 and she is currently pursuing a Master’s degree in mechanical engineering at Dalian Maritime University, Dalian, China. Her research interests include smart materials-based actuators and digital fluid power systems.

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Du, H., Xiong, W. & Liu, W. A Nonlinear Dynamic Optimization Algorithm of a Novel Energy Efficient Pneumatic Drive System. Int. J. Control Autom. Syst. 20, 1593–1604 (2022). https://doi.org/10.1007/s12555-020-0265-4

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  • DOI: https://doi.org/10.1007/s12555-020-0265-4

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