Adaptive control of piecewise linear systems with applications to NASA GTM

Abstract

Nonlinear plants with their operating range covering multiple trim points are modeled as piecewise linear systems, where variations in operating points are modeled as switches between constituent linearized system dynamics. The adaptive state feedback for state tracking control problem for such systems is studied, for which piecewise linear reference model systems are used to generate desired state trajectories. Adaptive control schemes are developed, and it is proved that asymptotic tracking performance can be achieved if the reference input is sufficiently rich and the switches are sufficiently slow. Stability and tracking performance of the proposed adaptive control schemes are analyzed and evaluated on the high-fidelity Simulink model of the Generic Transport Model (GTM) developed at NASA Langley.