An LMI-based parameter selection procedure for an amplitude- and rate-saturated controller

This paper proposes a new method to design the parameter values of the authors' previously-proposed amplitude- and rate-saturated controller. The controller is a nonlinear, sliding-mode-like controller applicable to single-input linear plants under bounded disturbance. In the new procedure, the controller parameters are obtained based on a set of linear matrix inequalities. The procedure also places the closed-loop poles within a predetermined region in the complex plane. We validate the proposed method with illustrative examples.