ABSTRACT
Analysis and synthesis of nonlinear dynamic systems with disturbances has been one of the most active research areas in the past decades. It has been shown that classical control approaches can provide relatively simple design algorithms to deal with disturbances, but lack sound theoretical justifications. On the other hand, other approaches are rigorous mathematically but only suitable for systems with specific structures, or demand a heavy computation burden in applications. For example, partial differential equations (PDEs) involved in nonlinear output regulation theory, stochastic nonlinear control theory and nonlinear H∞ control are generally difficult to solve. In addition, some approaches are only concerned with the stability of the nominal system in the absence of disturbances, implying that in this case stability of the system cannot be guaranteed in the presence of disturbances (see, e.g., [144, 186]).
