Observer-based tracking controller design for quasi-one-sided Lipschitz nonlinear systems

Abstract

In this paper, the observer-based controller design problem for tracking a constant reference input for quasi-one-sided Lipschitz nonlinear systems is considered. For this purpose, at first, a state feedback controller is proposed and sufficient conditions for solvability of the problem are obtained in terms of linear matrix inequality feasibility conditions. Then, an observer for estimating the states of the system is designed. Subsequently, it is shown that the separation principle for the proposed feedback controller holds, and consequently, the designing of the state feedback controller and the observer can be done separately. Simulation results are given to verify the effectiveness of the proposed methodology.

Publication Title

Optimal Control Applications and Methods

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