Coordinates Transformation and Stabilization for Switching Models of Actuators in Servoelastic Framework

Consideration of the effects of the mounting structure stiffness on electrohydraulic servomechanisms actuating primary flight controls yields a switched control system of seven nonlinear differential equations. The stabilizing control synthesis has to cope with the critical case of a zero eigenvalue of the Jacobian matrices calculated in equilibria. By local coordinates transformations, the switching components are decoupled into a common linear part and nonlinear equations without linear terms. Existence of a Common Lyapunov Function and arguments from Lyapunov-Malkin Theorem prove the stability of all equilibria for the switched system and a desired asymptotic behavior. 3626 S. Balea, A. Halanay, I. Ursu Mathematics Subject Classification: 34D20, 93B27, 93B52