Robust adaptive control of a class of nonlinear systems: state and output feedback

A new adaptive design procedure is presented which guarantees robustness to parametric and dynamic uncertainties for a class of nonlinear systems, and also rejects any bounded, unmeasurable disturbances entering the system. The uncertainties in the system are assumed to be unknown, except that they are bounded by an unknown pth order polynomial; in the arguments. For the state feedback case, we identify systems transformable to a special strict feedback form. For the case, where only the outputs are measured, the adaptive design procedure applies to systems transformable to the output feedback form, where the output dependent nonlinear terms are unknown. Results in both cases are presented for state-output tracking and regulation problems.