Operator-based optimal design for nonlinear feedback tracking systems

In this paper, operator-based optimal design for nonlinear feedback tracking systems is investigated. First, some basic definitions about nonlinear operators are introduced. Second, using the definition of infimum, a new operator norm is proposed for studying the optimal design, and then a robust condition is derived. Based on the proposed scheme, the optimal robust control design can be realised. Finally, an numerical example is given to show the effectiveness of the proposed design scheme.