A descriptor system approach to servo control for nonlinear systems

This paper presents fuzzy model-based servo control for a class of nonlinear descriptor systems. In our previous paper, servo control based on error dynamics using error vector and input difference was proposed. In this paper, we extend the servo control technique to nonlinear descriptor systems. The descriptor system can represent larger class of nonlinear systems than the typical state-space models. We show the construction method of fuzzy descriptor system for servo control and derive servo controller design conditions for fuzzy descriptor systems in the form of LMI. Moreover, the servo control which is applicable to switching of target point is also discussed. Design examples illustrate the utility of this approach.