Application of Linear Adaptive Control to Some Advanced Benchmark Examples

Linear Adaptive Control [1]-[8] is a new approach to adaptive controller design that uses a novel exogenous linear dynamical model of parameter perturbation "effects," and an ordinary linear observer, to generate the required adaptive control signal u(t). By this means, the need for a nonlinear parameter estimator, as traditionally used in adaptive control, is eliminated and the resulting adaptive controller is completely linear and time-invariant, (all controller "gains" are constant). The performance capabilities of linear adaptive controllers have been demonstrated in [4], [6], [7], [8] using relatively simple examples. In this paper the linear adaptive control technique is applied to several examples having complex forms of plant uncertainty. Computer simulation studies are presented to demonstrate the quality of adaptive performance achieved.