Cubic Observers for State Estimation of Nonlinear Systems

Abstract

This paper extends the usage of a recently introduced state observer; the cubic observer, to a relatively large family of nonlinear dynamical systems including one-sided Lipschitz and Lipschitz systems as special cases. Convergence criteria as well as observer-based feedback control are discussed for the proposed observer. An estimate for the domain of attraction is also given for this observer. Simulation examples are given for comparison and clarification.