Surrogate Based Co-Design for Combined Structure and Control Design Problems

Design optimization of structure and control combined systems are coupled problems. The conventional sequential design strategy (structure design sequentially followed by control design) usually neglects the coupling effects between structure and control and can only produce sub-optimal designs of the complex systems. Nevertheless, simultaneous design strategy with a reasonable and explicit optimization iteration management can ensure global optimization designs of the coupled system. In this study, a surrogate based co-design is explored to achieve the simultaneous optimization, which transforms continuous optimal control problems into discrete nonlinear programming problems. The discrete control parameters combining with the structure parameters can be simultaneously optimized and the co-design strategy can be achieved by introducing necessary and reasonable dynamic constraints. Here, the proposed surrogate based co-design is tested using a practical engineering case study, a heavy-load face-shovel excavator (FSE). The case study is built upon existing FSE design problems by incorporating detailed structure and control design variables while satisfying the system dynamic equations. The proposed surrogate based co-design is implemented and compared with the conventional sequential design strategy and an existing co-design strategy. Results indicate that the surrogate based co-design is accurate and efficient enough to achieve better performances than the conventional sequential design strategy by making FSE’s structure more compact with relatively small vibrations.

[1]  Volkan Patoglu,et al.  Co-Design Strategies for Optimal Variable Stiffness Actuation , 2017, IEEE/ASME Transactions on Mechatronics.

[2]  James T. Allison,et al.  Special Section on Multidisciplinary Design Optimization: Multidisciplinary Design Optimization of Dynamic Engineering Systems , 2014 .

[3]  A. Galip Ulsoy,et al.  Sequential Co-Design of an Artifact and Its Controller Via Control Proxy Functions , 2013 .

[4]  C. R. Rao,et al.  Factorial Experiments Derivable from Combinatorial Arrangements of Arrays , 1947 .

[5]  Garston H. Blackwell Remote and Semi-Automated Operation of an Electric Cable Shovel , 2013 .

[6]  Insup Lee,et al.  Co-design of control and platform with dropped signals , 2013, 2013 ACM/IEEE International Conference on Cyber-Physical Systems (ICCPS).

[7]  Prathyush P. Menon,et al.  Integrated Control and Structure design framework for spacecraft applied to Biomass satellite. , 2013 .

[8]  I. Sobol On the distribution of points in a cube and the approximate evaluation of integrals , 1967 .

[9]  Sen Yan,et al.  Co‐design of a filtering antenna based on multilayer structure , 2019, International Journal of RF and Microwave Computer-Aided Engineering.

[10]  A. Galip Ulsoy,et al.  Nested plant/controller optimization with application to combined passive/active automotive suspensions , 2003, Proceedings of the 2003 American Control Conference, 2003..

[11]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[12]  Hosam K. Fathy,et al.  Combined plant and control optimization: Theory, strategies and applications. , 2003 .

[13]  A. Galip Ulsoy,et al.  On the coupling between the plant and controller optimization problems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[14]  James T. Allison Plant-Limited Co-Design of an Energy-Efficient Counterbalanced Robotic Manipulator , 2013 .

[15]  Wei Sun,et al.  Energy-minimum optimization of the intelligent excavating process for large cable shovel through trajectory planning , 2018, Structural and Multidisciplinary Optimization.

[16]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[17]  Roger Woodard,et al.  Interpolation of Spatial Data: Some Theory for Kriging , 1999, Technometrics.

[18]  Mao Li,et al.  Surrogate based multidisciplinary design optimization of lithium-ion battery thermal management system in electric vehicles , 2017 .

[19]  Wei Sun,et al.  Sensitivity of TBM’s Performance to Structural, Control and Geological Parameters Under Different Prediction Models , 2019, IEEE Access.

[20]  Rafael Palacios,et al.  Optimal vibration control and co-design of very flexible actuated structures , 2016 .

[21]  G. Box The Exploration and Exploitation of Response Surfaces: Some General Considerations and Examples , 1954 .

[22]  Zoran Filipi,et al.  Computationally Efficient Combined Plant Design and Controller Optimization Using a Coupling Measure , 2012 .

[23]  James T. Allison,et al.  Design of Nonlinear Dynamic Systems Using Surrogate Models of Derivative Functions , 2013, DAC 2013.

[24]  Chris Vermillion,et al.  Nested Plant/Controller Codesign Using G-Optimal Design and Continuous Time Adaptation Laws: Theoretical Framework and Application to an Airborne Wind Energy System , 2018, Journal of Dynamic Systems, Measurement, and Control.

[25]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[26]  Samuel Frimpong,et al.  Efficient Cable Shovel Excavation in Surface Mines , 2011 .

[27]  Panos Y. Papalambros,et al.  Principles of Optimal Design: Modeling and Computation , 1988 .

[28]  Soon-Jo Chung,et al.  Co-Design of Strain-Actuated Solar Arrays for Spacecraft Precision Pointing and Jitter Reduction , 2017 .

[29]  James T. Allison Engineering system co-design with limited plant redesign , 2012 .

[30]  Alberto L. Sangiovanni-Vincentelli,et al.  Co-design of control algorithm and embedded platform for building HVAC systems , 2013, 2013 ACM/IEEE International Conference on Cyber-Physical Systems (ICCPS).

[31]  Hong-Sen Yan,et al.  Integrated control and mechanism design for the variable input-speed servo four-bar linkages , 2009 .

[32]  Joaquim R. R. A. Martins,et al.  Multidisciplinary design optimization: A survey of architectures , 2013 .

[33]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[34]  Yong Zhang,et al.  Uniform Design: Theory and Application , 2000, Technometrics.

[35]  Vipulkumar Patel,et al.  STRUCTURAL OPTIMIZATION OF MINI HYDRAULIC BACKHOE EXCAVATOR ATTACHMENT USING FEA APPROACH , 2013 .

[36]  Xuemei Ren,et al.  Structure/controller Co-design of Multi-motor Driving System with Fixed-time Dynamic Surface Backstepping Control , 2019, 2019 Chinese Control Conference (CCC).

[37]  A. Galip Ulsoy,et al.  COMPARISON OF COMBINED EMBODIMENT DESIGN AND CONTROL OPTIMIZATION STRATEGIES USING OPTIMALITY CONDITIONS , 2001 .