Abstract

Force sensing system (FSS) is widely used to simulate the control force of aircrafts for pilots. Conventional FSS employs multiple single-axis motors and complex transmission mechanisms to achieve multiple degree-of-freedom (DOF) force output of joystick, which may cause mismatched inertia and affect the output performance of FSS significantly. Therefore, one novel FSS with multiple DOF direct-drive spherical actuator is proposed in this paper to reduce the simulator’s extra inertia. To analyze its output performance systematically, a hybrid modeling method is proposed to formulate both Ampere torque and cogging torque mathematically. Equivalent current method along with Ampere force law is used to obtain the Ampere torque due to irregular structure of magnet and coil poles. The cogging torque is then obtained from airgap flux density via Maxwell stress method. From the derived analytical model, an adaptive particle swarm optimization (PSO) algorithm based on expectation (the average value of minimum errors) is proposed for multiple-parameter structure optimization. It can avoid local optimization effectively. The study shows that the optimized value greatly helps to improve the torque generation. Then, one research prototype and one testbed is developed. The comparison between experimental result and analytical model shows that the two sets of data fit with each other well. Therefore, the analytical model could be employed for motion control of the system at the next stage.

Highlights

  • Force sensing system (FFS) is an aircraft utility device to provide pilots with the sense of control force feedback from the rudder load [1,2,3]

  • Following that, based on the derived analytical model, an adaptive particle swarm optimization (PSO) algorithm [29,30] based on expectation is proposed for multiple-parameter structure optimization

  • It shows that the analytical model fits with the experimental results well

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Summary

Introduction

Force sensing system (FFS) is an aircraft utility device to provide pilots with the sense of control force feedback from the rudder load [1,2,3]. Compared with the digital hydraulic system, the digital electric system can effectively reduce energy loss and environmental pollution It is the major development trend of FSS in the future [9,10,11]. Following that, based on the derived analytical model, an adaptive particle swarm optimization (PSO) algorithm [29,30] based on expectation is proposed for multiple-parameter structure optimization. Experiments are conducted on the torque generation of the FSS It shows that the analytical model fits with the experimental results well. The comparison with traditional spherical actuator shows that the novel design with 2D camber Halbach array greatly improves the output torque. The comparison further verifies that the novel FSS can reduce the inertia-redundant force effectively.

Schematic Structure and Operating Principle
Magnetic Field Model with Full Sets of Magnets
Torque Generated by Single Coil
Cogging Torque of Single Coil
Torque Generated by Full Set of Coils
Traditional PSO Algorithm
Adaptive PSO Algorithm with Anti-Local Optimization
Structural Parameter Optimization
Performance Evaluation of the Proposed Design
Inertia Moment Comparison between New FSS and Traditional FSS
Research Prototype and Testbed
Comparison of Experimental Results and Analytical Model
Conclusions

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