Stable control for polar coordinate fuzzy systems

This paper describes stable control for the polar coordinate fuzzy systems that were proposed in our previous paper. The previous paper considered stability conditions for the open-loop systems. This paper mainly discusses stabilization for the systems. First, we address polar coordinate fuzzy model construction for a class of nonlinear systems with control input. Next, we propose a polar coordinate fuzzy controller to stabilize the systems. An interesting feature of the controller is to have the properties of both fuzzy controller and linear parameter varying controller. Furthermore, we derive LMI conditions to determine feedback gains of the controller. A design example shows that this approach provides more relaxed stabilization results than Takagi-Sugeno fuzzy model approach.