Apologies for the confusion earlier. Let’s approach this with a focus on achieving a smooth oscillation that takes into account not just acceleration and speed limits, but also ensures a jerk-free movement by smoothly increasing or decreasing acceleration.
To implement zero jerk and ensure smooth transitions in acceleration, we can utilize a sinusoidal function for our acceleration profile. This approach will automatically provide smooth increases and decreases in acceleration, speed, and position, mimicking a natural oscillatory motion without abrupt changes (jerk) in acceleration.
Here’s a more refined script that uses a sinusoidal function to control the acceleration and, by extension, the speed and position (angle) of the motor, providing a smooth oscillation between 0 and 1 (normalized for angle):
public class SmoothMotorOscillation : MonoBehaviour
public float maxAngularSpeed = 90f; // The peak speed the motor can reach.
public float oscillationPeriod = 2f; // The time it takes to complete one oscillation cycle (back and forth once).
private float elapsedTime = 0f; // Time elapsed since the start of the current oscillation.
// Update the elapsed time.
elapsedTime += Time.deltaTime;
// Calculate the current phase of the oscillation, ranging from -1 to 1.
float phase = Mathf.Sin((elapsedTime / oscillationPeriod) * 2f * Mathf.PI);
// Calculate the target angle based on the phase. The angle oscillates between 0 and 360 degrees (normalized to 0 and 1).
// This is achieved by transforming the phase range (-1 to 1) to the angle range (0 to 1), and then scaling to max angle if needed.
float targetNormalizedAngle = (phase + 1f) / 2f;
// Update the motor to the target angle. No explicit speed or acceleration limits are applied here, as the smoothness
// of the motion is inherently controlled by the sinusoidal nature of the phase calculation. This results in smooth
// acceleration and deceleration as well as a constant maximum speed part of the cycle.
UpdateMotor(targetNormalizedAngle);
void UpdateMotor(float normalizedAngle)
// Here, implement the actual motor control logic using the normalized angle.
// For demonstration, this logs the normalized angle to the console.
Debug.Log($"Motor Angle (Normalized): {normalizedAngle}");
This script calculates the phase of oscillation using a sine function, which inherently provides a smooth acceleration and deceleration profile due to the sinusoidal waveform’s characteristics. The oscillation period defines how long it takes to complete one full oscillation (a back-and-forth movement), allowing for easy adjustment of how quickly or slowly the motor oscillates.
The key here is that the sinusoidal function automatically ensures zero jerk because the rate of change of acceleration (which is the derivative of the sine function) is continuous and smooth throughout the cycle. This results in a naturally smooth motion for the motor.
Remember, this approach assumes that the motor or the system controlling the motor can directly set an angle (or a position) based on the normalized value provided. If your system requires explicit control over speed and acceleration at a lower level, further adjustments might be needed to translate these normalized angle commands into appropriate motor control signals.