State Observer Design for a Class of Lipschitz Nonlinear System with Uncertainties

This study addresses the new dynamic equation of a state observer for a group of nonlinear locally Lipschitz uncertain systems. The projected dynamic is used to establish stability of designed observer system by using the Lyapunov function method, then the conditions are expressed as Linear Matrix Inequalities (LMIs) framework to guarantee the asymptotic stability of the error between estimated and original states. To show the performance of proposed observer it is implemented on two examples, which demonstrate the accuracy of state estimations. The first example is a simple generic uncertain nonlinear system, and second example a mass - spring -damper system with state uncertainty to demonstrate observer performance on a real physical system. (C) 2020, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.