In this paper, a robust autopilot is proposed using stable interpolation based on Youla parameterization. The most important condition of stable interpolation between local controllers is the preservation of stability so that each local controller can ensure stability for an open neighborhood around a nominal point. The proposed design used fixed-order robust controller with parameter-dependent...

Local projection methods which yield c'm_1) piecewise polynomials of order m + k as approximate solutions of a boundary value problem for an mth order ordinary differential equation are determined by the k linear functional at which the residual error in each partition interval is required to vanish on. We develop a condition on these k f unctionals which implies breakpoint superconvergence (of...

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focussed on local polynomial smoothers. Both the mean and variance functions are assumed to be smooth, but neither is assumed to be in a parametric family. The eeect of preliminary estimation of the mean is studied, and a \degrees of freedom"...

Treatment effect estimates in regression discontinuity (RD) designs are often sensitive to the choice of bandwidth and polynomial order, two important ingredients widely used local methods. While Imbens Kalyanaraman Calonico, Cattaneo, Titiunik provided guidance on bandwidth, sensitivity order still poses a conundrum RD practitioners. It is understood econometric literature that applying argume...

Local likelihood approaches to statistical inference attempt to construct nonparametric estimators based on local polynomial fits to the likelihood function at a given point of interest. As opposed to approaches based on the construction of complex global models which are then used in order to predict future behavior, the local models fit a set of parameters to a simple local model in the vicin...