3 Added a wikipedia link.
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Sensor data is noisy. If you do not filter it, then your vehicle would at least act erratically if it were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when done correctly, improving stability in turn.

A Kalman filterKalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system and your sensors. It then estimates the state of the vehicle based on a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

Sensor data is noisy. If you do not filter it, then your vehicle would at least act erratically if it were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when done correctly, improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system and your sensors. It then estimates the state of the vehicle based on a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

Sensor data is noisy. If you do not filter it, then your vehicle would at least act erratically if it were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when done correctly, improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system and your sensors. It then estimates the state of the vehicle based on a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

2 Grammar fixes
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Sensor data is noisy. If you diddo not filter it, then your vehicle would at least act erratically if it were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when downdone correctly, improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system model and your sensors. It then estimates the state of the vehicle based on a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

Sensor data is noisy. If you did not filter it then your vehicle would at least act erratically if were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when down correctly improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system model and your sensors. It then estimates the state of the vehicle based a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

Sensor data is noisy. If you do not filter it, then your vehicle would at least act erratically if it were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when done correctly, improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system and your sensors. It then estimates the state of the vehicle based on a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.

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Sensor data is noisy. If you did not filter it then your vehicle would at least act erratically if were even stable enough to fly. Filtering, via a Kalman filter or otherwise, can reduce the noise when down correctly improving stability in turn.

A Kalman filter is a particularly powerful filter. It takes a model of the system and noise models for both the system model and your sensors. It then estimates the state of the vehicle based a provided state estimate and the controls applied at any moment in time. This estimated state will be more accurate than what the sensors report.