Systems and methods for using computer-generated models to reduce reflected power towards an RF generator during state transitions of the RF generator by controlling RF values of the RF generator

1. A method for reducing power reflected towards a radio frequency (RF) generator during state transitions by using radio frequency values, comprising:

receiving during a first type of state transition of the RF generator a first plurality of measured input parameter values sensed between an output of the RF generator and an input of an impedance matching network when the RF generator operates at a first plurality of radio frequency values and the impedance matching network has a first variable measurable factor;

initializing for the first type of state transition one or more computer-generated models to have the first variable measurable factor and the first plurality of radio frequency values, wherein the one or more computer-generated models include a model of the impedance matching network;

determining for the first type of state transition a first plurality of output parameter values using the one or more computer-generated models from the first plurality of measured input parameter values when the one or more computer-generated models have the first variable measurable factor and the first plurality of radio frequency values;

generating, using the first plurality of output parameter values and the one or more computer-generated models, a first plurality of favorable radio frequency values, wherein for each of the favorable radio frequency values of the first plurality, a reflection coefficient for the first type of state transition at an input of the one or more computer-generated models is minimum;

operating the RF generator at the first plurality of favorable radio frequency values during the first type of state transition to reduce the power reflected towards the RF generator.

2. The method of claim 1 , wherein said receiving, initializing, determining the first plurality of output parameter values, and generating the first plurality of favorable radio frequency values are performed during a first occurrence of the first type of state transition, wherein said operating the RF generator is performing is performed during a second occurrence of the first type of state transition.

3. The method of claim 2 , wherein the second occurrence follows the first occurrence after one or more intermediate occurrences of the first type of state transition.

4. The method of claim 2 , wherein the second occurrence immediately follows the first occurrence without any occurrences of the first type of state transition occurring between the first occurrence and the second occurrence.

5. The method of claim 1 , further comprising:

receiving during a second type of state transition of the RF generator a second plurality of measured input parameter values sensed between the output of the RF generator and the input of the impedance matching network when the RF generator operates at a second plurality of radio frequency values and the impedance matching network has the first variable measurable factor;

initializing for the second type of state transition the one or more computer-generated models of the impedance matching network to have the first variable measurable factor and the second plurality of radio frequency values;

calculating for the second type of state transition a second plurality of output parameter values using the one or more computer-generated models from the second plurality of measured input parameter values when the one or more computer-generated models has the first variable measurable factor and the second plurality of radio frequency values;

calculating, using the second plurality of output parameter values and the one or more computer-generated models, a second plurality of favorable radio frequency values, wherein for each of the favorable radio frequency values of the second plurality, a reflection coefficient for the second type of state transition at the input of the one or more computer-generated models is minimum;

controlling during the second type of state transition the RF generator to operate at the second plurality of favorable radio frequency values.

6. The method of claim 5 , wherein said receiving the second plurality of measured input parameter values, initializing for the second type of state transition the one or more computer-generated models, calculating the second plurality of output parameter values, and calculating the second plurality of favorable radio frequency values are performed during a first occurrence of the second type of state transition, wherein said controlling the RF generator is performed during a second occurrence of the second type of state transition.

7. The method of claim 6 , wherein the second occurrence of the second type of state transition follows the first occurrence of the second type of state transition after one or more intermediate occurrences of the second type of state transition.

8. The method of claim 6 , wherein the second occurrence of the second type of state transition immediately follows the first occurrence of the second type of state transition without any occurrences of the second type of state transition occurring between the first occurrence of the second type of state transition and the second occurrence of the second type of state transition.

9. The method of claim 5 , further comprising:

receiving during the first type of state transition of the RF generator a third plurality of measured input parameter values sensed between the output of the RF generator and the input of the impedance matching network when the RF generator operates at the first plurality of favorable radio frequency values and the impedance matching network has a first step variable measurable factor;

initializing for the first type of state transition the one or more computer-generated models of the impedance matching network to have the first step variable measurable factor and the first plurality of favorable radio frequency values;

calculating for the first type of state transition a third plurality of output parameter values using the one or more computer-generated models from the third plurality of measured input parameter values when the one or more computer-generated models has the first step variable measurable factor and the first plurality of favorable radio frequency values;

calculating, using the third plurality of output parameter values and the one or more computer-generated models, a third plurality of favorable radio frequency values, wherein for each of the favorable radio frequency values of the third plurality, the reflection coefficient for the first type of state transition at the input of the one or more computer-generated models is minimum;

controlling during the first type of state transition the RF generator to operate at the third plurality of favorable radio frequency values.

10. The method of claim 9 , further comprising:

receiving during the second type of state transition of the RF generator a fourth plurality of measured input parameter values sensed between the output of the RF generator and the input of the impedance matching network when the RF generator operates at the second plurality of favorable radio frequency values and the impedance matching network has the first step variable measurable factor;

initializing for the second type of state transition the one or more computer-generated models of the impedance matching network to have the first step variable measurable factor and the second plurality of favorable radio frequency values;

calculating for the second type of state transition a fourth plurality of output parameter values using the one or more computer-generated models from the fourth plurality of measured input parameter values when the one or more computer-generated models has the first step variable measurable factor and the second plurality of favorable radio frequency values;

calculating, using the fourth plurality of output parameter values and the one or more computer-generated models, a fourth plurality of favorable radio frequency values, wherein for each of the favorable radio frequency values of the fourth plurality, the reflection coefficient for the second type of state transition at the input of the one or more computer-generated models is minimum;

controlling during the second type of state transition the RF generator to operate at the fourth plurality of favorable radio frequency values.

11. The method of claim 1 , wherein during the first type of state transition, the RF generator transitions from a first power level to a second power level, wherein the second power level is lower than the first power level.

12. The method of claim 1 , wherein the one or more computer-generated models include a model of an RF transmission line and a model of an RF cable.

13. The method of claim 1 , wherein determining for the first type of state transition the first plurality of output parameter values using the one or more computer-generated models from the first plurality of measured input parameter values when the one or more computer-generated models has the first variable measurable factor and the first plurality of radio frequency values comprises:

determining for the first type of state transition a first one of the first plurality of output parameter values using the one or more computer-generated models from a first one of the first plurality of measured input parameter values when the one or more computer-generated models has the first variable measurable factor and a first one of the first plurality of radio frequency values; and

determining for the first type of state transition a second one of the first plurality of output parameter values using the one or more computer-generated models from a second one of the first plurality of measured input parameter values when the one or more computer-generated models has the first variable measurable factor and a second one of the first plurality of radio frequency values.

14. The method of claim 1 , wherein generating, using the first plurality of output parameter values and the one or more computer-generated models, the first plurality of favorable radio frequency values comprises:

determining for a first one of the first plurality of output parameter values, a first one of the first plurality of favorable radio frequency values for which the reflection coefficient for the first type of state transition at the input of the one or more computer-generated models has a first minimum value; and

determining for a second one of the first plurality of output parameter values, a second one of the first plurality of favorable radio frequency values for which the reflection coefficient for the first type of state transition at the input of the one or more computer-generated models has a second minimum value.