Due to the nonlinear-in-control nature of the dynamical system in
aggressive flight maneuvers, well-known dynamic inversion methods
cannot be applied to determine the explicit form of the control
law. Additionally, the aerodynamic uncertainties, typical for such
regimes, are poorly modeled, and therefore there is a great need
for adaptive control methods to compensate for dynamic
instabilities. In this book, an adaptive control design method for
both short-period and lateral/directional control of a fighter
aircraft is presented. The approach uses a specialized set of
radial basis function approximators and Lyapunov-based adaptive
laws to estimate the unknown nonlinearities. The adaptive
controller is defined as a solution of fast dynamics, which
verifies the assumptions of Tikhonov's theorem from singular
perturbations theory. Simulations illustrate the theoretical
findings.
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