Design of a Polynomial Fuzzy Observer Controller With Sampled-Output Measurements for Nonlinear Systems Considering Unmeasurable Premise Variables


In this paper, we propose a polynomial fuzzy observer controller for nonlinear systems, where the design is achieved through the stability analysis of polynomial-fuzzy-model-primarily based (PFMB) observer-management system. The polynomial fuzzy observer estimates the system states using estimated premise variables. The estimated states are then used by the polynomial fuzzy controller for the feedback management of nonlinear systems represented by the polynomial fuzzy model. The system stability of the PFMB observer-control system is analyzed based on the Lyapunov stability theory. Although using estimated premise variables in polynomial fuzzy observer can handle a wider class of nonlinear systems, it leads to a significant downside that the steadiness conditions obtained are nonconvex. Matrix decoupling technique is employed to achieve convex stability conditions in the shape of total of squares. We further extend the design and analysis to polynomial fuzzy observer controller employing a sampled-information technique for nonlinear systems, where solely sampled-output measurements are offered. Simulation examples are presented to demonstrate the feasibility and validity of the look and analysis results.

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