Model reference adaptive control of polytopic LPV systems an alternative approach to adaptive control

This paper provides an alternative approach to solve model reference adaptive control problems of uncertain processes. Plants in this manuscript are described as polytopic LPV systems in fixed polytopes defined by convex hulls of extreme systems, and uncertainties of system parameters correspond to those extreme systems. It is shown that control inputs are composed of weighted sums of control signals for each extreme systems, and that those weights are tuned adaptively. The stabilizing signals are also added to stabilize plants and to regulate the effect of time-varying components in uncertain processes. Those additional signals are derived as solutions of nonlinear H-infinity control problems for certain virtual systems.