Multivariable anti-windup controller synthesis using linear matrix inequalities (Q5947650)

The authors present a formulation of the problem of multivariable anti-windup bumpless controller synthesis with a large class of input nonlinearities such as saturation, deadzone, as well as switching/override nonlinearities. The sufficient stability conditions are developed by means of a direct Lyapunov method using a positive definite Lyapunov function including integrals of nonlinearities, which permits the static controller synthesis problem to be reduced to a convex optimization problem over linear matrix inequalities.