Control and Stability of Systems with Structured Nonlinearity

In this paper a synthesis technique is developed for the design of a robust linear controller to control a system which is characterized by structured nonlinearities and has external disturbance of finite spectrum. The design method assures the robust stabilization of the system and guarantees a bound to the induced norm of the operator between the disturbance vector and the output vector. The relevant design equations are developed for state feedback and output feedback controllers.