Abstract
A method for solving nonlinear inverse problems is proposed. The inverse problem is formulated as a general optimization problem with equality constraints that are functions of state variables. The optimality conditions are derived by a variational approach. A time-domain e niteelement method is used to discretize the derived governing equations.Theproposedmethodcanutilizethecontrolredundancyinaredundantcasethroughtheproperselection of the performanceindex and constraints. Timedifferentiation oftrajectory constraintsand partial differentiation of output variables with respect to the control inputs are not required, and there is no numerical integration in the developed algorithm. Examples of inverse solutions for an aileron roll maneuver and a bank-to-bank maneuver of aircraft are presented.
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