Adaptive robust control for SISO plant in l1 setting

This paper addresses the regulation problem for SISO plant in the presence of additive bounded disturbance and norm-bounded perturbations in channels of output and control. The performance measure is taken as the worst case steady-state absolute value of the output. A control-oriented approach is used for design of adaptive robust controller on the basis of the certainty equivalence principle. Set estimates are used for construction of point estimates of unknown parameteres, the norms of perturbations and additive disturbance including. Identification criterion coincides with control criterion and robust performance close to that in the case of completely known plant is achieved.