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Describe the principles of observer-based predictive torque control with disturbance rejection for multi-motor drives in electric propulsion for spacecraft.

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Observer-based Predictive Torque Control (OPTC) with disturbance rejection is a control strategy used in multi-motor drives for electric propulsion systems in spacecraft. This advanced control technique aims to achieve precise and efficient control of multiple electric motors while also compensating for disturbances that might affect the performance of the propulsion system. Here are the key principles of this control strategy:

Multi-Motor System Modeling: The first step is to accurately model the multi-motor electric propulsion system. This involves developing mathematical models that describe the dynamic behavior of each motor, their interactions, and the overall spacecraft dynamics. These models take into account factors such as motor parameters, mechanical coupling between motors, and spacecraft inertia.

Predictive Control: OPTC is a predictive control strategy, which means it predicts the future behavior of the system based on the current state and control actions. It optimizes the control inputs over a finite time horizon to minimize a certain cost function. In the context of multi-motor drives, predictive torque control calculates the optimal torque commands for each motor to achieve desired performance objectives.

Observer Design: An observer is a crucial component of OPTC. It estimates the internal states of the multi-motor system, such as motor speeds, rotor positions, and load torques, based on available measurements. These estimated states are used for control calculations. Advanced observer design techniques, such as Luenberger observers or Kalman filters, are employed to ensure accurate state estimation.

Disturbance Rejection: Disturbances, such as external forces acting on the spacecraft or variations in motor parameters, can impact the performance of the electric propulsion system. The OPTC strategy includes mechanisms to reject these disturbances by continuously estimating their effects and adjusting the control inputs accordingly. This helps maintain the desired performance even in the presence of external perturbations.

Real-Time Optimization: OPTC involves solving optimization problems in real-time to determine the optimal control inputs for each motor. This requires efficient numerical techniques to solve these optimization problems quickly and accurately, considering the computational constraints of onboard systems.

Feedback Loop: The OPTC strategy operates within a feedback loop. The estimated states from the observer, along with the predicted future states of the system, are continuously fed into the optimization algorithm. The resulting optimal torque commands are then applied to the motors. The process repeats in a closed-loop fashion to ensure the system tracks the desired trajectory and rejects disturbances.

Adaptation and Robustness: Multi-motor drives for spacecraft may operate in varying conditions, such as changes in gravitational forces or changes in load. The OPTC strategy may incorporate adaptive control mechanisms to adjust the control parameters based on the evolving system dynamics. This enhances the robustness of the control system and ensures stable and accurate operation across different mission phases.

In summary, Observer-based Predictive Torque Control (OPTC) with disturbance rejection is a sophisticated control strategy for multi-motor electric propulsion systems in spacecraft. It combines predictive control, observer design, disturbance rejection, and real-time optimization to achieve precise and efficient motor control while compensating for external disturbances and variations in system parameters. This approach contributes to the overall reliability and performance of electric propulsion systems in space missions.
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