An Asymmetric Stabilizer Based on Scheduling Shifted Coordinates for Single-Input Linear Systems With Asymmetric Saturation

Starting from a symmetric state-feedback solution ensuring α-exponential convergence in an ellipsoidal sublevel set, with asymmetric saturation and single-input linear plants, we propose novel scheduled extension preserving the original that set extending guaranteed stability region to union of all possible contractive ellipsoids centered at shifted equilibrium. Our design being based on parametric optimization problem, prove Lipschitz properties ensuing feedback law compute its explicit expression.