RESEARCH ARTICLE

Multiobjective trajectory optimization of intelligent electro-hydraulic shovel

  • Rujun FAN ,
  • Yunhua LI ,
  • Liman YANG
Expand
  • School of Automation Science and Electrical Engineer, Beihang University, Beijing 100191, China

Received date: 22 Sep 2021

Accepted date: 08 May 2022

Published date: 15 Dec 2022

Copyright

2022 Higher Education Press

Abstract

Multiobjective trajectory planning is still face challenges due to certain practical requirements and multiple contradicting objectives optimized simultaneously. In this paper, a multiobjective trajectory optimization approach that sets energy consumption, execution time, and excavation volume as the objective functions is presented for the electro-hydraulic shovel (EHS). The proposed cubic polynomial S-curve is employed to plan the crowd and hoist speed of EHS. Then, a novel hybrid constrained multiobjective evolutionary algorithm based on decomposition is proposed to deal with this constrained multiobjective optimization problem. The normalization of objectives is introduced to minimize the unfavorable effect of orders of magnitude. A novel hybrid constraint handling approach based on ε-constraint and the adaptive penalty function method is utilized to discover infeasible solution information and improve population diversity. Finally, the entropy weight technique for order preference by similarity to an ideal solution method is used to select the most satisfied solution from the Pareto optimal set. The performance of the proposed strategy is validated and analyzed by a series of simulation and experimental studies. Results show that the proposed approach can provide the high-quality Pareto optimal solutions and outperforms other trajectory optimization schemes investigated in this article.

Cite this article

Rujun FAN , Yunhua LI , Liman YANG . Multiobjective trajectory optimization of intelligent electro-hydraulic shovel[J]. Frontiers of Mechanical Engineering, 2022 , 17(4) : 50 . DOI: 10.1007/s11465-022-0706-2

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. U1910211).
1
Wu J Q, Wang G Q, Bi Q S, Hall R. Digging force and power consumption during robotic excavation of cable shovel: experimental study and DEM simulation. International Journal of Mining, Reclamation and Environment, 2020, 35(1): 12–33

DOI

2
Patnayak S, Tannant D D, Parsons I, Del Valle V, Wong J. Operator and dipper tooth influence on electric shovel performance during oil sands mining. International Journal of Mining, Reclamation and Environment, 2008, 22(2): 120–145

DOI

3
Awuah-Offei K, Frimpong S. Cable shovel digging optimization for energy efficiency. Mechanism and Machine Theory, 2007, 42(8): 995–1006

DOI

4
Awuah-OffeiK. Dynamic modeling of electric shovel-formation interactions for efficient oil sands excavation. Dissertation for the Doctoral Degree. Rolla: Missouri University of Science & Technology, 2005

5
Zhang L, Celik A, Dang S P, Shihada D. Energy-efficient trajectory optimization for UAV-assisted IoT networks. IEEE Transactions on Mobile Computing, 2022, 21(12): 4323–4337

DOI

6
Chai R Q, Savvaris A, Tsourdos A, Chai S C, Xia Y Q. Trajectory optimization of space maneuver vehicle using a hybrid optimal control solver. IEEE Transactions on Cybernetics, 2019, 49(2): 467–480

DOI

7
SunW, LiE Y, WangX B, Guo Z G, LiX D, SongX G. Optimal trajectory planning for intelligent excavators. Journal of Dalian University Technology, 2018, 58(3): 246–253 (in Chinese)

8
Zhang T, Zhang M H, Zou Y B. Time-optimal and smooth trajectory planning for robot manipulators. International Journal of Control, Automation, and Systems, 2021, 19(1): 521–531

DOI

9
Song X G, Zhang T C, Yuan Y L, Wang X B, Sun W. Multidisciplinary co-design optimization of the structure and control systems for large cable shovel considering cross-disciplinary interaction. Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science, 2020, 234(22): 4353–4365

DOI

10
Gao H J, Yang X B, Shi P. Multi-objective robust H-infinity control of spacecraft rendezvous. IEEE Transactions on Control Systems Technology, 2009, 17(4): 794–802

DOI

11
Chen J, Zou Z H, Pang X P. Digging performance characterization for hydraulic excavator considering uncertainty during digging operation. Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science, 2018, 232(5): 857–871

DOI

12
Li X, Wang G Q, Miao S J, Li X F. Optimal design of a hydraulic excavator working device based on parallel particle swarm optimization. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2017, 39(10): 3793–3805

DOI

13
QiuQ Y, Li B, FengP E. Optimal design of hydraulic excavator working device based on multiple surrogate models. Advances in Mechanical Engineering, 2016, 8(5): 1687814016647947

DOI

14
Zhou A M, Qu B Y, Li H, Zhao S Z, Suganthan P n, Zhang Q F. Multi-objective evolutionary algorithms: a survey of the state of the art. Swarm and Evolutionary Computation, 2011, 1(1): 32–49

DOI

15
Serralheiro W, Maruyama N, Saggin F. Self-tuning time-energy optimization for the trajectory planning of a wheeled mobile robot. Journal of Intelligent & Robotic Systems, 2019, 95(3): 987–997

DOI

16
Li L L, Wang X P. An adaptive multi-objective evolutionary algorithm based on grid subspaces. Memetic Computing, 2021, 13(2): 249–269

DOI

17
Xu G Y, Ding H F, Feng Z M. Optimal design of hydraulic excavator shovel attachment based on multi-objective evolutionary algorithm. IEEE/ASME Transactions on Mechatronics, 2019, 24(2): 808–819

DOI

18
Chai R Q, Savvaris A, Tsourdos A, Chai S C. Multi-objective trajectory optimization of space manoeuvre vehicle using adaptive differential evolution and modified game theory. Acta Astronautica, 2017, 136: 273–280

DOI

19
Chai R Q, Tsourdos A, Savvaris A, Chai S C, Xia Y Q, Philip Chen C L. Multi-objective overtaking maneuver planning for autonomous ground vehicles. IEEE Transactions on Cybernetics, 2021, 51(8): 4035–4049

DOI

20
Chai R Q, Tsourdos A, Savvaris A, Chai S C, Xia Y Q. Two-stage trajectory optimization for autonomous ground vehicles parking maneuver. IEEE Transactions on Industrial Informatics, 2019, 15(7): 3899–3909

DOI

21
Chai R Q, Tsourdos A, Savvaris A, Chai S C, Xia Y Q, Philip Chen C L. Multi-objective optimal parking maneuver planning of autonomous wheeled vehicles. IEEE Transactions on Industrial Electronics, 2020, 67(12): 10809–10821

DOI

22
Tao J, Sun Q L, Chen Z Q, He Y P. NSGA-II based multi-objective homing trajectory planning of parafoil system. Journal of Central South University, 2016, 23(12): 3248–3255

DOI

23
Sheng W X, Liu K Y, Liu Y, Meng X L, Li Y H. Optimal placement and sizing of distributed generation via an improved nondominated sorting genetic algorithm II. IEEE Transactions on Power Delivery, 2015, 30(2): 569–578

DOI

24
Skrobek D, Cekus D. Optimization of the operation of the anthropomorphic manipulator in a three-dimensional working space. Engineering Optimization, 2019, 51(11): 1997–2010

DOI

25
Zhang Q F, Li H. MOEA/D: a multi-objective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation, 2007, 11(6): 712–731

DOI

26
Trivedi A, Srinivasan D, Sanyal K, Ghosh A. A survey of multi-objective evolutionary algorithms based on decomposition. IEEE Transactions on Evolutionary Computation, 2017, 21(3): 440–462

DOI

27
Chutima P, Jirachai P. Parallel U-shaped assembly line balancing with adaptive MOEA/D hybridized with BBO. Journal of Industrial and Production Engineering, 2020, 37(2-3): 97–119

DOI

28
Fan R J, Li Y H, Yang L M. Trajectory planning based on minimum input energy for the electro-hydraulic cable shovel. In: Proceedings of 2020 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Boston: IEEE, 2020, 397–402

DOI

29
Frimpong S, Hu Y. Parametric simulation of shovel-oil sands interactions during excavation. International Journal of Surface Mining, Reclamation and Environment, 2004, 18(3): 205–219

DOI

30
Wei B C, Gao F, Chen J, He J, Wu S, Song Q. Mechanics performance of three-degree-of-freedom excavating mechanism of an electric shovel. Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science, 2011, 225(6): 1443–1457

DOI

31
Topno S A, Sahoo L K, Umre B S. Energy efficiency assessment of electric shovel operating in opencast mine. Energy, 2021, 230: 120703

DOI

32
LiM QYao X. What weights work for you? Adapting weights for any Pareto front shape in decomposition-based evolutionary multi-objective optimisation. Evolutionary Computation, 2020, 28(2): 227–253

33
Mallipeddi R, Suganthan P N. Ensemble of constraint handling techniques. IEEE Transactions on Evolutionary Computation, 2010, 14(4): 561–579

DOI

34
Jan M A, Zhang Q F. MOEA/D for constrained multi-objective optimization: some preliminary experimental results. In: Proceedings of 2010 UK Workshop on Computational Intelligence (UKCI). Colchester: IEEE, 2010, 1–6

DOI

35
Jan M A, Khanum R A. A study of two penalty-parameterless constraint handling techniques in the framework of MOEA/D. Applied Soft Computing, 2013, 13(1): 128–148

DOI

36
Takahama T, Sakai S. Constrained optimization by the ε constrained differential evolution with gradient-based mutation and feasible elites. In: Proceedings of 2006 IEEE International Conference on Evolutionary Computation. Vancouver: IEEE, 2006, 1–8

DOI

37
Fan Z, Li W J, Cai X Y, Huang H, Fang Y, You Y G, Mo J J, Wei C M, Goodman E. An improved epsilon constraint-handling method in MOEA/D for CMOPs with large infeasible regions. Soft Computing, 2019, 23(23): 12491–12510

DOI

38
Chai R Q, Savvaris A, Tsourdos A, Xia Y Q, Chai S C. Solving multi-objective constrained trajectory optimization problem by an extended evolutionary algorithm. IEEE Transactions on Cybernetics, 2020, 50(4): 1630–1643

DOI

39
Li K, Fialho A, Kwong S, Zhang Q F. Adaptive operator selection with bandits for a multi-objective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation, 2014, 18(1): 114–130

DOI

40
While L, Hingston P, Barone L, Huband S. A faster algorithm for calculating hypervolume. IEEE Transactions on Evolutionary Computation, 2006, 10(1): 29–38

DOI

41
Zhu S, Zhang H, Jiang Z G, Hon B. A carbon efficiency upgrading method for mechanical machining based on scheduling optimization strategy. Frontiers of Mechanical Engineering, 2020, 15(2): 338–350

DOI

42
Zhang P Y, Li H S, Ni Y J, Gong F M, Li M N, Wang F Y. Security aware virtual network embedding algorithm using information entropy TOPSIS. Journal of Network and Systems Management, 2020, 28(1): 35–57

DOI

43
Liu J J, Teo K L, Wang X Y, Wu C Z. An exact penalty function-based differential search algorithm for constrained global optimization. Soft Computing, 2016, 20(4): 1305–1313

DOI

44
Duan H B, Li S T. Artificial bee colony-based direct collocation for reentry trajectory optimization of hypersonic vehicle. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(1): 615–626

DOI

45
Kim J J, Lee J J. Trajectory optimization with particle swarm optimization for manipulator motion planning. IEEE Transactions on Industrial Informatics, 2015, 11(3): 620–631

DOI

46
Deb K, Pratap A, Agarwal S, Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 2002, 6(2): 182–197

DOI

Outlines

/