Guaranteed K_∞ Performance LPV ICC Control with Application to Blended-Wing-Body Model

摘要

In this paper, the mixed Input Covariance Constraint (ICC) and H_∞ control problem is addressed for continuous-time polytopic Linear Parameter-Varying (LPV) systems with one-dimensional scheduling parameter. The upper bound of trace of the output covariance matrix is minimized subject to given constraints on input covariance matrix and H_∞ performance bound. This control problem is an extension of the mixed H_2/H_x LPV control problem, and the resulting gain-scheduling controller guarantees not only closed-loop system robustness in terms of H_∞ norm bound but also output covariance performance over the entire scheduling parameter space. This problem can be efficiently solved by convex optimization of Parametric Linear Matrix Inequalities (PLMIs). This paper presents the characterization of control synthesis PLMI conditions to obtain the optimal state-feedback gain-scheduling controller satisfying both ICC and H_∞ constraints, and the application of developed synthesis conditions to a blended-wing-body airplane model for wing vibration suppression.