System, method, and article of manufacture for determining an estimated combined battery state-parameter vector

1. An article of manufacture, comprising:

a computer storage medium having a computer program encoded therein for determining an estimated combined battery state-parameter vector indicative of a state and a parameter of a battery at a first predetermined time, the computer storage medium comprising:

code for determining a first plurality of estimated augmented combined battery state-parameter vectors that are indicative of both a state and a parameter of the battery, a battery input noise, a sensor noise associated with a sensor measuring a battery output variable, an uncertainty of both the state and parameter of the battery, an uncertainty of the battery input noise, and an uncertainty of the sensor noise at a second predetermined time prior to the first predetermined time;

code for determining a second plurality of predicted combined battery state-parameter vectors that are indicative of the state and the parameter of the battery and an uncertainty of both the state and parameter of the battery at the first predetermined time based on the first plurality of estimated augmented combined battery state-parameter vectors;

code for determining a third plurality of predicted battery output vectors that are indicative of at least one output variable of the battery and of an uncertainty of the output variable at the first predetermined time based on the first plurality of estimated augmented combined battery state-parameter vectors and the second plurality of predicted combined battery state-parameter vectors;

code for determining a first battery output vector having at least one measured value of the battery output variable; and

code for determining a first estimated combined battery state-parameter vector indicative of both the state and the parameter of the battery at the first predetermined time based on the second plurality of predicted combined battery state-parameter vectors, the third plurality of predicted battery output vectors, and the first battery output vector.

2. The article of manufacture of claim 1 , wherein the code for determining the first estimated combined battery state-parameter vector comprises:

code for determining a first predicted combined battery state-parameter vector indicative of both the state and the parameter of the battery at the first predetermined time based on the second plurality of predicted combined battery state-parameter vectors;

code for determining a first predicted battery output vector indicative of at least one output variable of the battery at the first predetermined time based on the third plurality of predicted output vectors;

code for determining a gain matrix based on the first predicted combined battery state-parameter vector, the first predicted battery output vector, the second plurality of predicted combined battery state-parameter vectors, and the third plurality of predicted battery output vectors; and

code for calculating the first estimated combined battery state-parameter vector based on the first predicted combined battery state-parameter vector, the first predicted battery output vector, the gain matrix, and the first battery output vector.