Patent Document ID: 9058026
Application ID: 13496151
Patent Flag: 1

Claim One:
1. A method of compensating for hysteresis in an adaptive optics system for deforming a mirror, comprising: determining an estimate of an input of the system using an inverse Preisach model by calculating input value x, according to the formula: x = ∑ k = 1 n ⁢ ( x γ k ⁢ δ k - x γ k ⁢ δ k - 1 ) where: x is an input value; k is a counter; n is an upper value for the counter; γ is a level to which output is increased as the input x is increased; δ is a level to which output is decreased as the input x is decreased; by determining a value of x γδ for each γ-δ pair in a discrete set of γ-δ pairs, wherein x γ i δ j is the input of the system resulting from increasing an output of the system from a minimum output to a value of γ i and then decreasing it to a value of δ j ; deforming the mirror and measuring a value of a system parameter with a sensor; and determining an updated estimate for the input of the system using the measured value of the parameter of the system, where if γ n and δ n are in the discrete set, adjusting the value of x γ n δ n by an amount equal to a constant multiplied by the difference between the first estimate of a system parameter and the measured value of the system parameter; and if γ n and δ n are not in the discrete set, adjusting the values of x γδ for other γ-δ pairs of the discrete set by an amount equal to a constant multiplied by the difference between the first estimate of a system parameter and the measured value of the system parameter.