μ Analysis and μ synthesis for nonlinear robust control systems

Abstract

A μ analysis and μ synthesis method for nonlinear robust control systems was presented. The nonlinear robust control problem using μ method was described. By means of the nonlinear state feedback and state coordinates transformation, many uncertain nonlinear systems can be transformed as a linear fractional transformation (LFT) on the generalized plant and the uncertainty. Based on the LFT, a linear robust controller can be obtained by the D-K iteration and then a corresponding nonlinear robust control law is constructed. An example was given in the paper.

Keywords

nonlinear systems / uncertainty / robust control / μ analysis / μ synthesis / linear fractional transformation / D-K iteration