Bounded-error state and parameter estimation of tip-tilt disturbances in adaptive optics systems

The main objective of this paper was to estimate tip‐tilt disturbances in adaptive optics systems. In a bounded‐error context, set inversion methods based on interval analysis are used to guarantee both state and parameter estimation of tip‐tilt disturbances. Consequently, two methods are performed. The first method is based on contraction–bisection, and the second one is based only on contraction. Both methods are thus compared, and results are discussed according to computational time and pessimism introduced on each estimated parameter. Copyright © 2013 John Wiley & Sons, Ltd.