Convex LPV synthesis of estimators and feedforwards using integral quadratic constraints

A method is presented for synthesizing output estimators and disturbance feedforward controllers for continuous-time, uncertain, gridded, linear parameter-varying (LPV) systems. Integral quadratic constraints (IQCs) are used to describe the uncertainty. Since gridded LPV systems do not have a valid frequencydomain interpretation, the time-domain, dissipation inequality approach is followed. There are two main contributions. First, a notion of duality is developed for uncertain, gridded LPV systems. Second, convex synthesis conditions are derived for robust output estimators. Together, these two contributions enable the convex synthesis of robust disturbance feedforward controllers. The effectiveness of the proposed method is demonstrated using a numerical example. Copyright c © 2017 John Wiley & Sons, Ltd.