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Modelling and control issues of dynamically substructured systems: adaptive forward prediction taken as an example.

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Dynamically substructured system testing requires precise actuator control. Experimental results show linear controllers outperform adaptive forward prediction (AFP) for heterogeneous dynamic components, challenging current modeling assumptions.

Keywords:
adaptive forward predictiondelay compensationdynamically substructured systemheterogeneous systemleast-squares polynomialsynchronization

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Area of Science:

  • Engineering
  • Control Systems
  • Computational Mechanics

Background:

  • Dynamically substructured systems testing involves integrating numerical simulations and physical experiments.
  • Actuator systems are crucial for interfacing these components, necessitating high-quality controllers to manage introduced dynamics.
  • Existing adaptive forward prediction (AFP) algorithms aim to address control challenges in substructuring.

Purpose of the Study:

  • To evaluate the effectiveness of the adaptive forward prediction (AFP) controller against traditional linear controllers in dynamically substructured systems.
  • To investigate the fundamental issues in actuator modeling within substructuring contexts.
  • To demonstrate that actuator and numerical substructures are heterogeneous dynamic components.

Main Methods:

  • Implementation and comparison of an adaptive forward prediction (AFP) controller with a linear dynamics-based controller.
  • Utilizing direct-compensation and singular value decomposition methods to improve AFP controller performance.
  • Experimental validation of controller performance in a dynamically substructured system.

Main Results:

  • Experimental results indicate that a linear dynamics-based controller outperforms the AFP controller in settling performance and synchronization.
  • Improvements to the AFP controller using advanced methods did not surpass the performance of the linear controller.
  • Analysis highlights fundamental differences between delay differential equations and ordinary differential equations in modeling actuator dynamics.

Conclusions:

  • The actuator and numerical substructure should be treated as heterogeneous dynamic components, not a homogeneous delay differential equation.
  • Linear controllers demonstrate superior performance over the AFP controller in the tested substructuring scenarios.
  • Revisiting actuator modeling assumptions is crucial for accurate and effective dynamic substructuring simulations.