Exponential Stabilization of LPV Systems Under Magnitude and Rate Saturating Actuators
Lucas A.L. Oliveira, Marcus V. C. Barbosa, Luís F. P. Silva, Valter J. S. Leite
Abstract
We propose a new convex linear parameter varying (LPV) controller design conditions that regionally stabilize LPV discrete-time systems under magnitude and rate saturating actuators. Moreover, the closed-loop system has an ensured exponential stability performance. The design conditions provide regional stabilization in the sense of polyquadratic stability, allowing an estimate of the region of initial conditions yielding trajectories with guaranteed convergence to the origin. A nonlinear first-order model models the magnitude and rate saturation of the actuators. Additionally, we propose a convex optimization procedure to enlarge the estimate of the region of attraction. Our approach is used in real-time nonlinear level control, illustrating the potentialities of the practical application of the method.