Polynomial observer design for unknown inputs polynomial fuzzy systems: A Sum of Squares approach

This paper deals with a polynomial fuzzy observer (PFO) design for a class of nonlinear continuous systems that can be modeled as polynomial fuzzy systems (PFS) subject to unknown inputs. The proposed polynomial observer is developed to ensure the asymptotic convergence of the observing error using the Lyapunov method and numerical tools. Sufficient design conditions are given in Sum Of Squares (SOS) formulation which can be numerically solved via the SOSTOOLS software and a semidefinite program (SDP) solver. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.